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	<id>https://www.na-mic.org/w/api.php?action=feedcontributions&amp;feedformat=atom&amp;user=Langs</id>
	<title>NAMIC Wiki - User contributions [en]</title>
	<link rel="self" type="application/atom+xml" href="https://www.na-mic.org/w/api.php?action=feedcontributions&amp;feedformat=atom&amp;user=Langs"/>
	<link rel="alternate" type="text/html" href="https://www.na-mic.org/wiki/Special:Contributions/Langs"/>
	<updated>2026-04-27T23:54:41Z</updated>
	<subtitle>User contributions</subtitle>
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	<entry>
		<id>https://www.na-mic.org/w/index.php?title=File:GiniContrast_Icon.png&amp;diff=66106</id>
		<title>File:GiniContrast Icon.png</title>
		<link rel="alternate" type="text/html" href="https://www.na-mic.org/w/index.php?title=File:GiniContrast_Icon.png&amp;diff=66106"/>
		<updated>2011-03-30T23:33:45Z</updated>

		<summary type="html">&lt;p&gt;Langs: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Langs</name></author>
		
	</entry>
	<entry>
		<id>https://www.na-mic.org/w/index.php?title=Projects:GiniContrast&amp;diff=66082</id>
		<title>Projects:GiniContrast</title>
		<link rel="alternate" type="text/html" href="https://www.na-mic.org/w/index.php?title=Projects:GiniContrast&amp;diff=66082"/>
		<updated>2011-03-30T23:17:33Z</updated>

		<summary type="html">&lt;p&gt;Langs: /* Publications */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt; Back to [[NA-MIC_Internal_Collaborations:StructuralImageAnalysis|NA-MIC Collaborations]], [[Algorithm:MIT|MIT Algorithms]],&lt;br /&gt;
__NOTOC__&lt;br /&gt;
= Gini contrast for multivariate activation detection =&lt;br /&gt;
&lt;br /&gt;
In this work, we study the benefits of Random Forest classifiers and the associated Gini importance measure for selecting voxel subsets that form a multivariate neural response in a fMRI experiment. The Gini importance measure quantifies the predictive power of a particular feature when considered as part of the entire pattern. The measure is based on a random sampling of fMRI time points and voxels. As a consequence the resulting voxel score, or Gini contrast, is highly reproducible and reliably includes all informative features. The method does not rely on {\em a priori} assumptions about the signal distribution, a specific statistical or functional model or regularization. Instead it uses the predictive power of features to characterize their relevance for encoding task information. The Gini contrast offers an additional advantage of directly quantifying the task-relevant information in a multi-class setting, rather than reducing the problem to several binary classification sub-problems. In a multi-category visual fMRI study, the proposed method identified informative regions not detected by the univariate criteria, such as the t-test or the F-test. Including these additional regions in the feature set improves the accuracy of multi-category classification. Moreover, we demonstrate higher classification accuracy and stability of the detected spatial patterns across runs than the traditional methods such as the recursive feature elimination used in conjunction with Support Vector Machines.&lt;br /&gt;
&lt;br /&gt;
[[File:GiniContrastScheme.png|800px]]&lt;br /&gt;
&lt;br /&gt;
'''''Fig.1''' Scheme of the algorithm''&lt;br /&gt;
&lt;br /&gt;
= Experiments =&lt;br /&gt;
&lt;br /&gt;
In our experiments, we observed that Gini contrast as a voxel selection score identifies regions detected by univariate criteria and additional informative regions consistently missed by univariate criteria. Regions selected by the Gini contrast measure exhibit substantial overlap for different fMRI data trials for the same subject and across subjects.&lt;br /&gt;
&lt;br /&gt;
[[File:GiniContrast_ResultIllu.png|500px]]&lt;br /&gt;
&lt;br /&gt;
'''''Fig.2''' Face category: Top row: top ranked voxels by univeriate t-test, Gini contrast, and exclusively Gini contrast. Second row: comparison between connected regions with more than 9 voxels detected by a univariate criterion ($t$-test, blue) and regions selected exclusively by Gini contrast (red). The additional regions detected by Gini contrast primarily contribute multivariate relationships to the category. For one pair of regions the de-trended BOLD values are illustrated. Together they hold significantly more information about the category than random regions. Two example regions carrying joint information are indicated by red and green curves. They exhibit characteristic joint behavior for faces: single mutual information vs. face images: I(face;red)=0.11, I(face;green)=0.054, pair-wise mutual information vs. face images: I(face;red,green)= 0.213. U - selected by univariate t-test; Gini only - selected only by Gini contrast.''&lt;br /&gt;
&lt;br /&gt;
== Conclusion ==&lt;br /&gt;
&lt;br /&gt;
Identification of diagnostic brain regions by means of classifiers and multivariate patterns requires careful choice of the classifier, the voxel selection criterion, and the inference made from the selected regions. Gini contrast is a multi-class multivariate criterion, that eliminates the need for regularization or pre-selection of regions. The results indicate that it is a promising choice for the detection of multivariate patterns in fMRI data.&lt;br /&gt;
&lt;br /&gt;
= Key Investigators =&lt;br /&gt;
&lt;br /&gt;
*MIT: Georg Langs, Bjoern Menze, Danial Lashkari, Polina Golland&lt;br /&gt;
&lt;br /&gt;
= Publications =&lt;br /&gt;
&lt;br /&gt;
[http://www.na-mic.org/publications/pages/display?search=Projects:GiniContrast&amp;amp;submit=Search&amp;amp;words=all&amp;amp;title=checked&amp;amp;keywords=checked&amp;amp;authors=checked&amp;amp;abstract=checked&amp;amp;sponsors=checked&amp;amp;searchbytag=checked| NA-MIC Publications Database on Gini contrast for multi-variate activation detection]&lt;/div&gt;</summary>
		<author><name>Langs</name></author>
		
	</entry>
	<entry>
		<id>https://www.na-mic.org/w/index.php?title=Projects:GiniContrast&amp;diff=66080</id>
		<title>Projects:GiniContrast</title>
		<link rel="alternate" type="text/html" href="https://www.na-mic.org/w/index.php?title=Projects:GiniContrast&amp;diff=66080"/>
		<updated>2011-03-30T23:16:47Z</updated>

		<summary type="html">&lt;p&gt;Langs: /* Publications */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt; Back to [[NA-MIC_Internal_Collaborations:StructuralImageAnalysis|NA-MIC Collaborations]], [[Algorithm:MIT|MIT Algorithms]],&lt;br /&gt;
__NOTOC__&lt;br /&gt;
= Gini contrast for multivariate activation detection =&lt;br /&gt;
&lt;br /&gt;
In this work, we study the benefits of Random Forest classifiers and the associated Gini importance measure for selecting voxel subsets that form a multivariate neural response in a fMRI experiment. The Gini importance measure quantifies the predictive power of a particular feature when considered as part of the entire pattern. The measure is based on a random sampling of fMRI time points and voxels. As a consequence the resulting voxel score, or Gini contrast, is highly reproducible and reliably includes all informative features. The method does not rely on {\em a priori} assumptions about the signal distribution, a specific statistical or functional model or regularization. Instead it uses the predictive power of features to characterize their relevance for encoding task information. The Gini contrast offers an additional advantage of directly quantifying the task-relevant information in a multi-class setting, rather than reducing the problem to several binary classification sub-problems. In a multi-category visual fMRI study, the proposed method identified informative regions not detected by the univariate criteria, such as the t-test or the F-test. Including these additional regions in the feature set improves the accuracy of multi-category classification. Moreover, we demonstrate higher classification accuracy and stability of the detected spatial patterns across runs than the traditional methods such as the recursive feature elimination used in conjunction with Support Vector Machines.&lt;br /&gt;
&lt;br /&gt;
[[File:GiniContrastScheme.png|800px]]&lt;br /&gt;
&lt;br /&gt;
'''''Fig.1''' Scheme of the algorithm''&lt;br /&gt;
&lt;br /&gt;
= Experiments =&lt;br /&gt;
&lt;br /&gt;
In our experiments, we observed that Gini contrast as a voxel selection score identifies regions detected by univariate criteria and additional informative regions consistently missed by univariate criteria. Regions selected by the Gini contrast measure exhibit substantial overlap for different fMRI data trials for the same subject and across subjects.&lt;br /&gt;
&lt;br /&gt;
[[File:GiniContrast_ResultIllu.png|500px]]&lt;br /&gt;
&lt;br /&gt;
'''''Fig.2''' Face category: Top row: top ranked voxels by univeriate t-test, Gini contrast, and exclusively Gini contrast. Second row: comparison between connected regions with more than 9 voxels detected by a univariate criterion ($t$-test, blue) and regions selected exclusively by Gini contrast (red). The additional regions detected by Gini contrast primarily contribute multivariate relationships to the category. For one pair of regions the de-trended BOLD values are illustrated. Together they hold significantly more information about the category than random regions. Two example regions carrying joint information are indicated by red and green curves. They exhibit characteristic joint behavior for faces: single mutual information vs. face images: I(face;red)=0.11, I(face;green)=0.054, pair-wise mutual information vs. face images: I(face;red,green)= 0.213. U - selected by univariate t-test; Gini only - selected only by Gini contrast.''&lt;br /&gt;
&lt;br /&gt;
== Conclusion ==&lt;br /&gt;
&lt;br /&gt;
Identification of diagnostic brain regions by means of classifiers and multivariate patterns requires careful choice of the classifier, the voxel selection criterion, and the inference made from the selected regions. Gini contrast is a multi-class multivariate criterion, that eliminates the need for regularization or pre-selection of regions. The results indicate that it is a promising choice for the detection of multivariate patterns in fMRI data.&lt;br /&gt;
&lt;br /&gt;
= Key Investigators =&lt;br /&gt;
&lt;br /&gt;
*MIT: Georg Langs, Bjoern Menze, Danial Lashkari, Polina Golland&lt;br /&gt;
&lt;br /&gt;
= Publications =&lt;br /&gt;
&lt;br /&gt;
[http://www.na-mic.org/publications/pages/display?search=Projects%3AGiniContrast&amp;amp;submit=Search&amp;amp;words=all&amp;amp;title=checked&amp;amp;keywords=checked&amp;amp;authors=checked&amp;amp;abstract=checked&amp;amp;sponsors=checked&amp;amp;searchbytag=checked| NA-MIC Publications Database on Gini contrast for multi-variate activation detection]&lt;/div&gt;</summary>
		<author><name>Langs</name></author>
		
	</entry>
	<entry>
		<id>https://www.na-mic.org/w/index.php?title=Projects:GiniContrast&amp;diff=66076</id>
		<title>Projects:GiniContrast</title>
		<link rel="alternate" type="text/html" href="https://www.na-mic.org/w/index.php?title=Projects:GiniContrast&amp;diff=66076"/>
		<updated>2011-03-30T23:16:11Z</updated>

		<summary type="html">&lt;p&gt;Langs: /* Publications */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt; Back to [[NA-MIC_Internal_Collaborations:StructuralImageAnalysis|NA-MIC Collaborations]], [[Algorithm:MIT|MIT Algorithms]],&lt;br /&gt;
__NOTOC__&lt;br /&gt;
= Gini contrast for multivariate activation detection =&lt;br /&gt;
&lt;br /&gt;
In this work, we study the benefits of Random Forest classifiers and the associated Gini importance measure for selecting voxel subsets that form a multivariate neural response in a fMRI experiment. The Gini importance measure quantifies the predictive power of a particular feature when considered as part of the entire pattern. The measure is based on a random sampling of fMRI time points and voxels. As a consequence the resulting voxel score, or Gini contrast, is highly reproducible and reliably includes all informative features. The method does not rely on {\em a priori} assumptions about the signal distribution, a specific statistical or functional model or regularization. Instead it uses the predictive power of features to characterize their relevance for encoding task information. The Gini contrast offers an additional advantage of directly quantifying the task-relevant information in a multi-class setting, rather than reducing the problem to several binary classification sub-problems. In a multi-category visual fMRI study, the proposed method identified informative regions not detected by the univariate criteria, such as the t-test or the F-test. Including these additional regions in the feature set improves the accuracy of multi-category classification. Moreover, we demonstrate higher classification accuracy and stability of the detected spatial patterns across runs than the traditional methods such as the recursive feature elimination used in conjunction with Support Vector Machines.&lt;br /&gt;
&lt;br /&gt;
[[File:GiniContrastScheme.png|800px]]&lt;br /&gt;
&lt;br /&gt;
'''''Fig.1''' Scheme of the algorithm''&lt;br /&gt;
&lt;br /&gt;
= Experiments =&lt;br /&gt;
&lt;br /&gt;
In our experiments, we observed that Gini contrast as a voxel selection score identifies regions detected by univariate criteria and additional informative regions consistently missed by univariate criteria. Regions selected by the Gini contrast measure exhibit substantial overlap for different fMRI data trials for the same subject and across subjects.&lt;br /&gt;
&lt;br /&gt;
[[File:GiniContrast_ResultIllu.png|500px]]&lt;br /&gt;
&lt;br /&gt;
'''''Fig.2''' Face category: Top row: top ranked voxels by univeriate t-test, Gini contrast, and exclusively Gini contrast. Second row: comparison between connected regions with more than 9 voxels detected by a univariate criterion ($t$-test, blue) and regions selected exclusively by Gini contrast (red). The additional regions detected by Gini contrast primarily contribute multivariate relationships to the category. For one pair of regions the de-trended BOLD values are illustrated. Together they hold significantly more information about the category than random regions. Two example regions carrying joint information are indicated by red and green curves. They exhibit characteristic joint behavior for faces: single mutual information vs. face images: I(face;red)=0.11, I(face;green)=0.054, pair-wise mutual information vs. face images: I(face;red,green)= 0.213. U - selected by univariate t-test; Gini only - selected only by Gini contrast.''&lt;br /&gt;
&lt;br /&gt;
== Conclusion ==&lt;br /&gt;
&lt;br /&gt;
Identification of diagnostic brain regions by means of classifiers and multivariate patterns requires careful choice of the classifier, the voxel selection criterion, and the inference made from the selected regions. Gini contrast is a multi-class multivariate criterion, that eliminates the need for regularization or pre-selection of regions. The results indicate that it is a promising choice for the detection of multivariate patterns in fMRI data.&lt;br /&gt;
&lt;br /&gt;
= Key Investigators =&lt;br /&gt;
&lt;br /&gt;
*MIT: Georg Langs, Bjoern Menze, Danial Lashkari, Polina Golland&lt;br /&gt;
&lt;br /&gt;
= Publications =&lt;br /&gt;
&lt;br /&gt;
[http://www.na-mic.org/publications/pages/display?search=Projects%3AGiniContrast&amp;amp;submit=Search&amp;amp;words=all&amp;amp;title=checked&amp;amp;keywords=checked&amp;amp;authors=checked&amp;amp;abstract=checked&amp;amp;sponsors=checked&amp;amp;searchbytag=checked| NA-MIC Publications Database on Atlas of Functional Connectivity]&lt;/div&gt;</summary>
		<author><name>Langs</name></author>
		
	</entry>
	<entry>
		<id>https://www.na-mic.org/w/index.php?title=Projects:ConnectivityAtlas&amp;diff=66075</id>
		<title>Projects:ConnectivityAtlas</title>
		<link rel="alternate" type="text/html" href="https://www.na-mic.org/w/index.php?title=Projects:ConnectivityAtlas&amp;diff=66075"/>
		<updated>2011-03-30T23:16:01Z</updated>

		<summary type="html">&lt;p&gt;Langs: /* Publications */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt; Back to [[NA-MIC_Internal_Collaborations:StructuralImageAnalysis|NA-MIC Collaborations]], [[Algorithm:MIT|MIT Algorithms]],&lt;br /&gt;
__NOTOC__&lt;br /&gt;
= Building an atlas of functional connectivity patterns =&lt;br /&gt;
&lt;br /&gt;
We construct an atlas that captures functional connectivity characteristics of a cognitive process from a population of individuals. The functional connectivity is encoded in a low-dimensional embedding space derived from a diffusion process on a graph that represents correlations of fMRI time courses. The atlas is represented by a common prior distribution for the embedded fMRI signals of all subjects. The atlas is not directly coupled to the anatomical space, and can represent functional networks that are variable in their spatial distribution. We derive an algorithm for fitting this generative model to the observed data in a population. Our results in a language fMRI study demonstrate that the method identifies coherent and functionally equivalent regions across subjects.&lt;br /&gt;
&lt;br /&gt;
= Description =&lt;br /&gt;
&lt;br /&gt;
We propose a different approach to characterize functional networks in a population of individuals. We do not assume a tight coupling between anatomical location and function, but view functional signals as the basis of a descriptive map that represents the global connectivity pattern during a specific cognitive process. We develop a representation of those networks based on manifold learning techniques and show how we can learn an \emph{atlas} from a population of subjects performing the same task. Our main assumption is that the connectivity pattern associated with a functional process is consistent across individuals. Accordingly, we construct a generative model (the atlas) for these connectivity patterns that describes the common structures within the population. &lt;br /&gt;
&lt;br /&gt;
The clinical goal of this work is to provide additional evidence for localization of functional areas. A robust localization approach is important for neurosurgical planning if individual activations are weak or reorganization has happened due to pathologies such as tumor growth. Furthermore the method provides a basis for understanding the mechanisms underlying formation and reorganization in the cerebral system.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:ModelScheme_revision_2.png]]&lt;br /&gt;
&lt;br /&gt;
'''''Fig.1''' Overview of the approach.''&lt;br /&gt;
&lt;br /&gt;
== Experiments ==&lt;br /&gt;
&lt;br /&gt;
We demonstrate the method on a set of six healthy control subjects. The language task (antonym generation) block design was 5min 10s long, starting with a 10s pre-stimulus period. Eight task and seven rest blocks, 20s each, alternated in the design. For each subject, an anatomical T1 MRI scan was acquired  and registered to the functional data. Grey matter was segmented with FSL on the T1 data. The grey matter labels were transferred to the co-registered fMRI volumes, and computation was restricted to grey matter.&lt;br /&gt;
&lt;br /&gt;
We first apply clustering to signals from individual subjects separately to find subject-specific cluster assignments. We then apply clustering to signals combined from ''all'' subjects to construct the corresponding group-wise cluster assignments. Likewise, we cluster the diffusion map coordinates separately in each subject to obtain subject-specific assignments. We cluster the diffusion map coordinates of all subjects aligned to the first subject linearly, and the joint atlas.&lt;br /&gt;
&lt;br /&gt;
Fig.2 shows top ranked clusters projected back onto the cortical surface for signal clustering, and for diffusion map clustering.&lt;br /&gt;
&lt;br /&gt;
[[File:SurfaceFigure_revision.png]]&lt;br /&gt;
&lt;br /&gt;
'''''Fig.2''' A comparison of the top ranked cluster when clustering in the signal space (left), and the joint atlas (right). For each clustering, we show the population level clustering on the left, and the individual clustering on the right. Below the average fMRI signal of the top ranked cluster is plotted. It is dominated by the language paradigm.''&lt;br /&gt;
&lt;br /&gt;
== Conclusion ==&lt;br /&gt;
&lt;br /&gt;
We learn an atlas of the functional connectivity structure that emerges during a cognitive process from a group of individuals. The atlas is a group-wise generative model that describes the fMRI responses of all subjects in the embedding space. The embedding space is a low dimensional representation of fMRI time courses that encodes the functional connectivity patterns within each subject. Future work will focus on the application of the framework to the study of reorganization processes.&lt;br /&gt;
&lt;br /&gt;
= Key Investigators =&lt;br /&gt;
&lt;br /&gt;
*MIT: Georg Langs, Andy Sweet, Danial Lashkari, Polina Golland&lt;br /&gt;
*Harvard: Yanmei Tie, Laura Rigolo, Alexandra Golby&lt;br /&gt;
&lt;br /&gt;
= Publications =&lt;br /&gt;
&lt;br /&gt;
[http://www.na-mic.org/publications/pages/display?search=Projects%3AConnectivityAtlas&amp;amp;submit=Search&amp;amp;words=all&amp;amp;title=checked&amp;amp;keywords=checked&amp;amp;authors=checked&amp;amp;abstract=checked&amp;amp;sponsors=checked&amp;amp;searchbytag=checked| NA-MIC Publications Database on Atlas of Functional Connectivity]&lt;/div&gt;</summary>
		<author><name>Langs</name></author>
		
	</entry>
	<entry>
		<id>https://www.na-mic.org/w/index.php?title=Projects:ConnectivityAtlas&amp;diff=66073</id>
		<title>Projects:ConnectivityAtlas</title>
		<link rel="alternate" type="text/html" href="https://www.na-mic.org/w/index.php?title=Projects:ConnectivityAtlas&amp;diff=66073"/>
		<updated>2011-03-30T23:15:35Z</updated>

		<summary type="html">&lt;p&gt;Langs: /* Publications */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt; Back to [[NA-MIC_Internal_Collaborations:StructuralImageAnalysis|NA-MIC Collaborations]], [[Algorithm:MIT|MIT Algorithms]],&lt;br /&gt;
__NOTOC__&lt;br /&gt;
= Building an atlas of functional connectivity patterns =&lt;br /&gt;
&lt;br /&gt;
We construct an atlas that captures functional connectivity characteristics of a cognitive process from a population of individuals. The functional connectivity is encoded in a low-dimensional embedding space derived from a diffusion process on a graph that represents correlations of fMRI time courses. The atlas is represented by a common prior distribution for the embedded fMRI signals of all subjects. The atlas is not directly coupled to the anatomical space, and can represent functional networks that are variable in their spatial distribution. We derive an algorithm for fitting this generative model to the observed data in a population. Our results in a language fMRI study demonstrate that the method identifies coherent and functionally equivalent regions across subjects.&lt;br /&gt;
&lt;br /&gt;
= Description =&lt;br /&gt;
&lt;br /&gt;
We propose a different approach to characterize functional networks in a population of individuals. We do not assume a tight coupling between anatomical location and function, but view functional signals as the basis of a descriptive map that represents the global connectivity pattern during a specific cognitive process. We develop a representation of those networks based on manifold learning techniques and show how we can learn an \emph{atlas} from a population of subjects performing the same task. Our main assumption is that the connectivity pattern associated with a functional process is consistent across individuals. Accordingly, we construct a generative model (the atlas) for these connectivity patterns that describes the common structures within the population. &lt;br /&gt;
&lt;br /&gt;
The clinical goal of this work is to provide additional evidence for localization of functional areas. A robust localization approach is important for neurosurgical planning if individual activations are weak or reorganization has happened due to pathologies such as tumor growth. Furthermore the method provides a basis for understanding the mechanisms underlying formation and reorganization in the cerebral system.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:ModelScheme_revision_2.png]]&lt;br /&gt;
&lt;br /&gt;
'''''Fig.1''' Overview of the approach.''&lt;br /&gt;
&lt;br /&gt;
== Experiments ==&lt;br /&gt;
&lt;br /&gt;
We demonstrate the method on a set of six healthy control subjects. The language task (antonym generation) block design was 5min 10s long, starting with a 10s pre-stimulus period. Eight task and seven rest blocks, 20s each, alternated in the design. For each subject, an anatomical T1 MRI scan was acquired  and registered to the functional data. Grey matter was segmented with FSL on the T1 data. The grey matter labels were transferred to the co-registered fMRI volumes, and computation was restricted to grey matter.&lt;br /&gt;
&lt;br /&gt;
We first apply clustering to signals from individual subjects separately to find subject-specific cluster assignments. We then apply clustering to signals combined from ''all'' subjects to construct the corresponding group-wise cluster assignments. Likewise, we cluster the diffusion map coordinates separately in each subject to obtain subject-specific assignments. We cluster the diffusion map coordinates of all subjects aligned to the first subject linearly, and the joint atlas.&lt;br /&gt;
&lt;br /&gt;
Fig.2 shows top ranked clusters projected back onto the cortical surface for signal clustering, and for diffusion map clustering.&lt;br /&gt;
&lt;br /&gt;
[[File:SurfaceFigure_revision.png]]&lt;br /&gt;
&lt;br /&gt;
'''''Fig.2''' A comparison of the top ranked cluster when clustering in the signal space (left), and the joint atlas (right). For each clustering, we show the population level clustering on the left, and the individual clustering on the right. Below the average fMRI signal of the top ranked cluster is plotted. It is dominated by the language paradigm.''&lt;br /&gt;
&lt;br /&gt;
== Conclusion ==&lt;br /&gt;
&lt;br /&gt;
We learn an atlas of the functional connectivity structure that emerges during a cognitive process from a group of individuals. The atlas is a group-wise generative model that describes the fMRI responses of all subjects in the embedding space. The embedding space is a low dimensional representation of fMRI time courses that encodes the functional connectivity patterns within each subject. Future work will focus on the application of the framework to the study of reorganization processes.&lt;br /&gt;
&lt;br /&gt;
= Key Investigators =&lt;br /&gt;
&lt;br /&gt;
*MIT: Georg Langs, Andy Sweet, Danial Lashkari, Polina Golland&lt;br /&gt;
*Harvard: Yanmei Tie, Laura Rigolo, Alexandra Golby&lt;br /&gt;
&lt;br /&gt;
= Publications =&lt;br /&gt;
&lt;br /&gt;
[http://www.na-mic.org/publications/pages/display?search=Projects%3AProjects:ConnectivityAtlas&amp;amp;submit=Search&amp;amp;words=all&amp;amp;title=checked&amp;amp;keywords=checked&amp;amp;authors=checked&amp;amp;abstract=checked&amp;amp;sponsors=checked&amp;amp;searchbytag=checked| NA-MIC Publications Database on Atlas of Functional Connectivity]&lt;/div&gt;</summary>
		<author><name>Langs</name></author>
		
	</entry>
	<entry>
		<id>https://www.na-mic.org/w/index.php?title=Projects:GiniContrast&amp;diff=66072</id>
		<title>Projects:GiniContrast</title>
		<link rel="alternate" type="text/html" href="https://www.na-mic.org/w/index.php?title=Projects:GiniContrast&amp;diff=66072"/>
		<updated>2011-03-30T23:15:24Z</updated>

		<summary type="html">&lt;p&gt;Langs: /* Publications */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt; Back to [[NA-MIC_Internal_Collaborations:StructuralImageAnalysis|NA-MIC Collaborations]], [[Algorithm:MIT|MIT Algorithms]],&lt;br /&gt;
__NOTOC__&lt;br /&gt;
= Gini contrast for multivariate activation detection =&lt;br /&gt;
&lt;br /&gt;
In this work, we study the benefits of Random Forest classifiers and the associated Gini importance measure for selecting voxel subsets that form a multivariate neural response in a fMRI experiment. The Gini importance measure quantifies the predictive power of a particular feature when considered as part of the entire pattern. The measure is based on a random sampling of fMRI time points and voxels. As a consequence the resulting voxel score, or Gini contrast, is highly reproducible and reliably includes all informative features. The method does not rely on {\em a priori} assumptions about the signal distribution, a specific statistical or functional model or regularization. Instead it uses the predictive power of features to characterize their relevance for encoding task information. The Gini contrast offers an additional advantage of directly quantifying the task-relevant information in a multi-class setting, rather than reducing the problem to several binary classification sub-problems. In a multi-category visual fMRI study, the proposed method identified informative regions not detected by the univariate criteria, such as the t-test or the F-test. Including these additional regions in the feature set improves the accuracy of multi-category classification. Moreover, we demonstrate higher classification accuracy and stability of the detected spatial patterns across runs than the traditional methods such as the recursive feature elimination used in conjunction with Support Vector Machines.&lt;br /&gt;
&lt;br /&gt;
[[File:GiniContrastScheme.png|800px]]&lt;br /&gt;
&lt;br /&gt;
'''''Fig.1''' Scheme of the algorithm''&lt;br /&gt;
&lt;br /&gt;
= Experiments =&lt;br /&gt;
&lt;br /&gt;
In our experiments, we observed that Gini contrast as a voxel selection score identifies regions detected by univariate criteria and additional informative regions consistently missed by univariate criteria. Regions selected by the Gini contrast measure exhibit substantial overlap for different fMRI data trials for the same subject and across subjects.&lt;br /&gt;
&lt;br /&gt;
[[File:GiniContrast_ResultIllu.png|500px]]&lt;br /&gt;
&lt;br /&gt;
'''''Fig.2''' Face category: Top row: top ranked voxels by univeriate t-test, Gini contrast, and exclusively Gini contrast. Second row: comparison between connected regions with more than 9 voxels detected by a univariate criterion ($t$-test, blue) and regions selected exclusively by Gini contrast (red). The additional regions detected by Gini contrast primarily contribute multivariate relationships to the category. For one pair of regions the de-trended BOLD values are illustrated. Together they hold significantly more information about the category than random regions. Two example regions carrying joint information are indicated by red and green curves. They exhibit characteristic joint behavior for faces: single mutual information vs. face images: I(face;red)=0.11, I(face;green)=0.054, pair-wise mutual information vs. face images: I(face;red,green)= 0.213. U - selected by univariate t-test; Gini only - selected only by Gini contrast.''&lt;br /&gt;
&lt;br /&gt;
== Conclusion ==&lt;br /&gt;
&lt;br /&gt;
Identification of diagnostic brain regions by means of classifiers and multivariate patterns requires careful choice of the classifier, the voxel selection criterion, and the inference made from the selected regions. Gini contrast is a multi-class multivariate criterion, that eliminates the need for regularization or pre-selection of regions. The results indicate that it is a promising choice for the detection of multivariate patterns in fMRI data.&lt;br /&gt;
&lt;br /&gt;
= Key Investigators =&lt;br /&gt;
&lt;br /&gt;
*MIT: Georg Langs, Bjoern Menze, Danial Lashkari, Polina Golland&lt;br /&gt;
&lt;br /&gt;
= Publications =&lt;br /&gt;
&lt;br /&gt;
[http://www.na-mic.org/publications/pages/display?search=Projects%3AProjects:GiniContrast&amp;amp;submit=Search&amp;amp;words=all&amp;amp;title=checked&amp;amp;keywords=checked&amp;amp;authors=checked&amp;amp;abstract=checked&amp;amp;sponsors=checked&amp;amp;searchbytag=checked| NA-MIC Publications Database on Atlas of Functional Connectivity]&lt;/div&gt;</summary>
		<author><name>Langs</name></author>
		
	</entry>
	<entry>
		<id>https://www.na-mic.org/w/index.php?title=Projects:GiniContrast&amp;diff=66038</id>
		<title>Projects:GiniContrast</title>
		<link rel="alternate" type="text/html" href="https://www.na-mic.org/w/index.php?title=Projects:GiniContrast&amp;diff=66038"/>
		<updated>2011-03-30T22:55:33Z</updated>

		<summary type="html">&lt;p&gt;Langs: /* Conclusion */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt; Back to [[NA-MIC_Internal_Collaborations:StructuralImageAnalysis|NA-MIC Collaborations]], [[Algorithm:MIT|MIT Algorithms]],&lt;br /&gt;
__NOTOC__&lt;br /&gt;
= Gini contrast for multivariate activation detection =&lt;br /&gt;
&lt;br /&gt;
In this work, we study the benefits of Random Forest classifiers and the associated Gini importance measure for selecting voxel subsets that form a multivariate neural response in a fMRI experiment. The Gini importance measure quantifies the predictive power of a particular feature when considered as part of the entire pattern. The measure is based on a random sampling of fMRI time points and voxels. As a consequence the resulting voxel score, or Gini contrast, is highly reproducible and reliably includes all informative features. The method does not rely on {\em a priori} assumptions about the signal distribution, a specific statistical or functional model or regularization. Instead it uses the predictive power of features to characterize their relevance for encoding task information. The Gini contrast offers an additional advantage of directly quantifying the task-relevant information in a multi-class setting, rather than reducing the problem to several binary classification sub-problems. In a multi-category visual fMRI study, the proposed method identified informative regions not detected by the univariate criteria, such as the t-test or the F-test. Including these additional regions in the feature set improves the accuracy of multi-category classification. Moreover, we demonstrate higher classification accuracy and stability of the detected spatial patterns across runs than the traditional methods such as the recursive feature elimination used in conjunction with Support Vector Machines.&lt;br /&gt;
&lt;br /&gt;
[[File:GiniContrastScheme.png|800px]]&lt;br /&gt;
&lt;br /&gt;
'''''Fig.1''' Scheme of the algorithm''&lt;br /&gt;
&lt;br /&gt;
= Experiments =&lt;br /&gt;
&lt;br /&gt;
In our experiments, we observed that Gini contrast as a voxel selection score identifies regions detected by univariate criteria and additional informative regions consistently missed by univariate criteria. Regions selected by the Gini contrast measure exhibit substantial overlap for different fMRI data trials for the same subject and across subjects.&lt;br /&gt;
&lt;br /&gt;
[[File:GiniContrast_ResultIllu.png|500px]]&lt;br /&gt;
&lt;br /&gt;
'''''Fig.2''' Face category: Top row: top ranked voxels by univeriate t-test, Gini contrast, and exclusively Gini contrast. Second row: comparison between connected regions with more than 9 voxels detected by a univariate criterion ($t$-test, blue) and regions selected exclusively by Gini contrast (red). The additional regions detected by Gini contrast primarily contribute multivariate relationships to the category. For one pair of regions the de-trended BOLD values are illustrated. Together they hold significantly more information about the category than random regions. Two example regions carrying joint information are indicated by red and green curves. They exhibit characteristic joint behavior for faces: single mutual information vs. face images: I(face;red)=0.11, I(face;green)=0.054, pair-wise mutual information vs. face images: I(face;red,green)= 0.213. U - selected by univariate t-test; Gini only - selected only by Gini contrast.''&lt;br /&gt;
&lt;br /&gt;
== Conclusion ==&lt;br /&gt;
&lt;br /&gt;
Identification of diagnostic brain regions by means of classifiers and multivariate patterns requires careful choice of the classifier, the voxel selection criterion, and the inference made from the selected regions. Gini contrast is a multi-class multivariate criterion, that eliminates the need for regularization or pre-selection of regions. The results indicate that it is a promising choice for the detection of multivariate patterns in fMRI data.&lt;br /&gt;
&lt;br /&gt;
= Key Investigators =&lt;br /&gt;
&lt;br /&gt;
*MIT: Georg Langs, Bjoern Menze, Danial Lashkari, Polina Golland&lt;br /&gt;
&lt;br /&gt;
= Publications =&lt;br /&gt;
&lt;br /&gt;
[1] G. Langs, B. Menze, D. Lashkari, and P. Golland. Detecting stable distributed patterns of brain activation using gini contrast. NeuroImage, 2010.&lt;br /&gt;
&lt;br /&gt;
[http://www.na-mic.org/publications/pages/display?search=Projects%3AProjects:GiniContrast&amp;amp;submit=Search&amp;amp;words=all&amp;amp;title=checked&amp;amp;keywords=checked&amp;amp;authors=checked&amp;amp;abstract=checked&amp;amp;sponsors=checked&amp;amp;searchbytag=checked| NA-MIC Publications Database on Atlas of Functional Connectivity]&lt;/div&gt;</summary>
		<author><name>Langs</name></author>
		
	</entry>
	<entry>
		<id>https://www.na-mic.org/w/index.php?title=Projects:GiniContrast&amp;diff=66035</id>
		<title>Projects:GiniContrast</title>
		<link rel="alternate" type="text/html" href="https://www.na-mic.org/w/index.php?title=Projects:GiniContrast&amp;diff=66035"/>
		<updated>2011-03-30T22:54:50Z</updated>

		<summary type="html">&lt;p&gt;Langs: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt; Back to [[NA-MIC_Internal_Collaborations:StructuralImageAnalysis|NA-MIC Collaborations]], [[Algorithm:MIT|MIT Algorithms]],&lt;br /&gt;
__NOTOC__&lt;br /&gt;
= Gini contrast for multivariate activation detection =&lt;br /&gt;
&lt;br /&gt;
In this work, we study the benefits of Random Forest classifiers and the associated Gini importance measure for selecting voxel subsets that form a multivariate neural response in a fMRI experiment. The Gini importance measure quantifies the predictive power of a particular feature when considered as part of the entire pattern. The measure is based on a random sampling of fMRI time points and voxels. As a consequence the resulting voxel score, or Gini contrast, is highly reproducible and reliably includes all informative features. The method does not rely on {\em a priori} assumptions about the signal distribution, a specific statistical or functional model or regularization. Instead it uses the predictive power of features to characterize their relevance for encoding task information. The Gini contrast offers an additional advantage of directly quantifying the task-relevant information in a multi-class setting, rather than reducing the problem to several binary classification sub-problems. In a multi-category visual fMRI study, the proposed method identified informative regions not detected by the univariate criteria, such as the t-test or the F-test. Including these additional regions in the feature set improves the accuracy of multi-category classification. Moreover, we demonstrate higher classification accuracy and stability of the detected spatial patterns across runs than the traditional methods such as the recursive feature elimination used in conjunction with Support Vector Machines.&lt;br /&gt;
&lt;br /&gt;
[[File:GiniContrastScheme.png|800px]]&lt;br /&gt;
&lt;br /&gt;
'''''Fig.1''' Scheme of the algorithm''&lt;br /&gt;
&lt;br /&gt;
= Experiments =&lt;br /&gt;
&lt;br /&gt;
In our experiments, we observed that Gini contrast as a voxel selection score identifies regions detected by univariate criteria and additional informative regions consistently missed by univariate criteria. Regions selected by the Gini contrast measure exhibit substantial overlap for different fMRI data trials for the same subject and across subjects.&lt;br /&gt;
&lt;br /&gt;
[[File:GiniContrast_ResultIllu.png|500px]]&lt;br /&gt;
&lt;br /&gt;
'''''Fig.2''' Face category: Top row: top ranked voxels by univeriate t-test, Gini contrast, and exclusively Gini contrast. Second row: comparison between connected regions with more than 9 voxels detected by a univariate criterion ($t$-test, blue) and regions selected exclusively by Gini contrast (red). The additional regions detected by Gini contrast primarily contribute multivariate relationships to the category. For one pair of regions the de-trended BOLD values are illustrated. Together they hold significantly more information about the category than random regions. Two example regions carrying joint information are indicated by red and green curves. They exhibit characteristic joint behavior for faces: single mutual information vs. face images: I(face;red)=0.11, I(face;green)=0.054, pair-wise mutual information vs. face images: I(face;red,green)= 0.213. U - selected by univariate t-test; Gini only - selected only by Gini contrast.''&lt;br /&gt;
&lt;br /&gt;
== Conclusion ==&lt;br /&gt;
&lt;br /&gt;
We learn an atlas of the functional connectivity structure that emerges during a cognitive process from a group of individuals. The atlas is a group-wise generative model that describes the fMRI responses of all subjects in the embedding space. The embedding space is a low dimensional representation of fMRI time courses that encodes the functional connectivity patterns within each subject. Future work will focus on the application of the framework to the study of reorganization processes.&lt;br /&gt;
&lt;br /&gt;
= Key Investigators =&lt;br /&gt;
&lt;br /&gt;
*MIT: Georg Langs, Bjoern Menze, Danial Lashkari, Polina Golland&lt;br /&gt;
&lt;br /&gt;
= Publications =&lt;br /&gt;
&lt;br /&gt;
[1] G. Langs, B. Menze, D. Lashkari, and P. Golland. Detecting stable distributed patterns of brain activation using gini contrast. NeuroImage, 2010.&lt;br /&gt;
&lt;br /&gt;
[http://www.na-mic.org/publications/pages/display?search=Projects%3AProjects:GiniContrast&amp;amp;submit=Search&amp;amp;words=all&amp;amp;title=checked&amp;amp;keywords=checked&amp;amp;authors=checked&amp;amp;abstract=checked&amp;amp;sponsors=checked&amp;amp;searchbytag=checked| NA-MIC Publications Database on Atlas of Functional Connectivity]&lt;/div&gt;</summary>
		<author><name>Langs</name></author>
		
	</entry>
	<entry>
		<id>https://www.na-mic.org/w/index.php?title=Projects:ConnectivityAtlas&amp;diff=66032</id>
		<title>Projects:ConnectivityAtlas</title>
		<link rel="alternate" type="text/html" href="https://www.na-mic.org/w/index.php?title=Projects:ConnectivityAtlas&amp;diff=66032"/>
		<updated>2011-03-30T22:53:29Z</updated>

		<summary type="html">&lt;p&gt;Langs: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt; Back to [[NA-MIC_Internal_Collaborations:StructuralImageAnalysis|NA-MIC Collaborations]], [[Algorithm:MIT|MIT Algorithms]],&lt;br /&gt;
__NOTOC__&lt;br /&gt;
= Building an atlas of functional connectivity patterns =&lt;br /&gt;
&lt;br /&gt;
We construct an atlas that captures functional connectivity characteristics of a cognitive process from a population of individuals. The functional connectivity is encoded in a low-dimensional embedding space derived from a diffusion process on a graph that represents correlations of fMRI time courses. The atlas is represented by a common prior distribution for the embedded fMRI signals of all subjects. The atlas is not directly coupled to the anatomical space, and can represent functional networks that are variable in their spatial distribution. We derive an algorithm for fitting this generative model to the observed data in a population. Our results in a language fMRI study demonstrate that the method identifies coherent and functionally equivalent regions across subjects.&lt;br /&gt;
&lt;br /&gt;
= Description =&lt;br /&gt;
&lt;br /&gt;
We propose a different approach to characterize functional networks in a population of individuals. We do not assume a tight coupling between anatomical location and function, but view functional signals as the basis of a descriptive map that represents the global connectivity pattern during a specific cognitive process. We develop a representation of those networks based on manifold learning techniques and show how we can learn an \emph{atlas} from a population of subjects performing the same task. Our main assumption is that the connectivity pattern associated with a functional process is consistent across individuals. Accordingly, we construct a generative model (the atlas) for these connectivity patterns that describes the common structures within the population. &lt;br /&gt;
&lt;br /&gt;
The clinical goal of this work is to provide additional evidence for localization of functional areas. A robust localization approach is important for neurosurgical planning if individual activations are weak or reorganization has happened due to pathologies such as tumor growth. Furthermore the method provides a basis for understanding the mechanisms underlying formation and reorganization in the cerebral system.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:ModelScheme_revision_2.png]]&lt;br /&gt;
&lt;br /&gt;
'''''Fig.1''' Overview of the approach.''&lt;br /&gt;
&lt;br /&gt;
== Experiments ==&lt;br /&gt;
&lt;br /&gt;
We demonstrate the method on a set of six healthy control subjects. The language task (antonym generation) block design was 5min 10s long, starting with a 10s pre-stimulus period. Eight task and seven rest blocks, 20s each, alternated in the design. For each subject, an anatomical T1 MRI scan was acquired  and registered to the functional data. Grey matter was segmented with FSL on the T1 data. The grey matter labels were transferred to the co-registered fMRI volumes, and computation was restricted to grey matter.&lt;br /&gt;
&lt;br /&gt;
We first apply clustering to signals from individual subjects separately to find subject-specific cluster assignments. We then apply clustering to signals combined from ''all'' subjects to construct the corresponding group-wise cluster assignments. Likewise, we cluster the diffusion map coordinates separately in each subject to obtain subject-specific assignments. We cluster the diffusion map coordinates of all subjects aligned to the first subject linearly, and the joint atlas.&lt;br /&gt;
&lt;br /&gt;
Fig.2 shows top ranked clusters projected back onto the cortical surface for signal clustering, and for diffusion map clustering.&lt;br /&gt;
&lt;br /&gt;
[[File:SurfaceFigure_revision.png]]&lt;br /&gt;
&lt;br /&gt;
'''''Fig.2''' A comparison of the top ranked cluster when clustering in the signal space (left), and the joint atlas (right). For each clustering, we show the population level clustering on the left, and the individual clustering on the right. Below the average fMRI signal of the top ranked cluster is plotted. It is dominated by the language paradigm.''&lt;br /&gt;
&lt;br /&gt;
== Conclusion ==&lt;br /&gt;
&lt;br /&gt;
We learn an atlas of the functional connectivity structure that emerges during a cognitive process from a group of individuals. The atlas is a group-wise generative model that describes the fMRI responses of all subjects in the embedding space. The embedding space is a low dimensional representation of fMRI time courses that encodes the functional connectivity patterns within each subject. Future work will focus on the application of the framework to the study of reorganization processes.&lt;br /&gt;
&lt;br /&gt;
= Key Investigators =&lt;br /&gt;
&lt;br /&gt;
*MIT: Georg Langs, Andy Sweet, Danial Lashkari, Polina Golland&lt;br /&gt;
*Harvard: Yanmei Tie, Laura Rigolo, Alexandra Golby&lt;br /&gt;
&lt;br /&gt;
= Publications =&lt;br /&gt;
&lt;br /&gt;
[1] Georg Langs, Yanmei Tie, Laura Rigolo, Alexandra Golby, Polina Golland. Functional Geometry Alignment and Localization of Brain Areas. in Adv. in Neural Information Processing Systems NIPS 2010&lt;br /&gt;
&lt;br /&gt;
[2] Georg Langs, Andrew Sweet, Danial Lashkari, Yanmei Tie, Laura Rigolo, Alexandra Golby, Polina Golland. Learning an Atlas of a Cognitive Process in its Functional Geometry. in Proc. of IPMI 2011&lt;br /&gt;
&lt;br /&gt;
[http://www.na-mic.org/publications/pages/display?search=Projects%3AProjects:ConnectivityAtlas&amp;amp;submit=Search&amp;amp;words=all&amp;amp;title=checked&amp;amp;keywords=checked&amp;amp;authors=checked&amp;amp;abstract=checked&amp;amp;sponsors=checked&amp;amp;searchbytag=checked| NA-MIC Publications Database on Atlas of Functional Connectivity]&lt;/div&gt;</summary>
		<author><name>Langs</name></author>
		
	</entry>
	<entry>
		<id>https://www.na-mic.org/w/index.php?title=Projects:ConnectivityAtlas&amp;diff=66031</id>
		<title>Projects:ConnectivityAtlas</title>
		<link rel="alternate" type="text/html" href="https://www.na-mic.org/w/index.php?title=Projects:ConnectivityAtlas&amp;diff=66031"/>
		<updated>2011-03-30T22:53:03Z</updated>

		<summary type="html">&lt;p&gt;Langs: /* Publications */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt; Back to [[NA-MIC_Internal_Collaborations:StructuralImageAnalysis|NA-MIC Collaborations]], [[Algorithm:MIT|MIT Algorithms]],&lt;br /&gt;
__NOTOC__&lt;br /&gt;
= Building an atlas of functional connectivity patterns =&lt;br /&gt;
&lt;br /&gt;
We construct an atlas that captures functional connectivity characteristics of a cognitive process from a population of individuals. The functional connectivity is encoded in a low-dimensional embedding space derived from a diffusion process on a graph that represents correlations of fMRI time courses. The atlas is represented by a common prior distribution for the embedded fMRI signals of all subjects. The atlas is not directly coupled to the anatomical space, and can represent functional networks that are variable in their spatial distribution. We derive an algorithm for fitting this generative model to the observed data in a population. Our results in a language fMRI study demonstrate that the method identifies coherent and functionally equivalent regions across subjects.&lt;br /&gt;
&lt;br /&gt;
= Description =&lt;br /&gt;
&lt;br /&gt;
We propose a different approach to characterize functional networks in a population of individuals. We do not assume a tight coupling between anatomical location and function, but view functional signals as the basis of a descriptive map that represents the global connectivity pattern during a specific cognitive process. We develop a representation of those networks based on manifold learning techniques and show how we can learn an \emph{atlas} from a population of subjects performing the same task. Our main assumption is that the connectivity pattern associated with a functional process is consistent across individuals. Accordingly, we construct a generative model (the atlas) for these connectivity patterns that describes the common structures within the population. &lt;br /&gt;
&lt;br /&gt;
The clinical goal of this work is to provide additional evidence for localization of functional areas. A robust localization approach is important for neurosurgical planning if individual activations are weak or reorganization has happened due to pathologies such as tumor growth. Furthermore the method provides a basis for understanding the mechanisms underlying formation and reorganization in the cerebral system.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:ModelScheme_revision_2.png]]&lt;br /&gt;
&lt;br /&gt;
'''''Fig.1''' Overview of the approach.''&lt;br /&gt;
&lt;br /&gt;
== Experiments ==&lt;br /&gt;
&lt;br /&gt;
We demonstrate the method on a set of six healthy control subjects. The language task (antonym generation) block design was 5min 10s long, starting with a 10s pre-stimulus period. Eight task and seven rest blocks, 20s each, alternated in the design. For each subject, an anatomical T1 MRI scan was acquired  and registered to the functional data. Grey matter was segmented with FSL on the T1 data. The grey matter labels were transferred to the co-registered fMRI volumes, and computation was restricted to grey matter.&lt;br /&gt;
&lt;br /&gt;
We first apply clustering to signals from individual subjects separately to find subject-specific cluster assignments. We then apply clustering to signals combined from ''all'' subjects to construct the corresponding group-wise cluster assignments. Likewise, we cluster the diffusion map coordinates separately in each subject to obtain subject-specific assignments. We cluster the diffusion map coordinates of all subjects aligned to the first subject linearly, and the joint atlas.&lt;br /&gt;
&lt;br /&gt;
Fig.2 shows top ranked clusters projected back onto the cortical surface for signal clustering, and for diffusion map clustering.&lt;br /&gt;
&lt;br /&gt;
[[File:SurfaceFigure_revision.png]]&lt;br /&gt;
&lt;br /&gt;
'''''Fig.2''' A comparison of the top ranked cluster when clustering in the signal space (left), and the joint atlas (right). For each clustering, we show the population level clustering on the left, and the individual clustering on the right. Below the average fMRI signal of the top ranked cluster is plotted. It is dominated by the language paradigm.''&lt;br /&gt;
&lt;br /&gt;
== Conclusion ==&lt;br /&gt;
&lt;br /&gt;
We learn an atlas of the functional connectivity structure that emerges during a cognitive process from a group of individuals. The atlas is a group-wise generative model that describes the fMRI responses of all subjects in the embedding space. The embedding space is a low dimensional representation of fMRI time courses that encodes the functional connectivity patterns within each subject. Future work will focus on the application of the framework to the study of reorganization processes.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
= Key Investigators =&lt;br /&gt;
&lt;br /&gt;
*MIT: Georg Langs, Andy Sweet, Danial Lashkari, Polina Golland&lt;br /&gt;
*Harvard: Yanmei Tie, Laura Rigolo, Alexandra Golby&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
= Publications =&lt;br /&gt;
&lt;br /&gt;
[1] Georg Langs, Yanmei Tie, Laura Rigolo, Alexandra Golby, Polina Golland. Functional Geometry Alignment and Localization of Brain Areas. in Adv. in Neural Information Processing Systems NIPS 2010&lt;br /&gt;
&lt;br /&gt;
[2] Georg Langs, Andrew Sweet, Danial Lashkari, Yanmei Tie, Laura Rigolo, Alexandra Golby, Polina Golland. Learning an Atlas of a Cognitive Process in its Functional Geometry. in Proc. of IPMI 2011&lt;br /&gt;
&lt;br /&gt;
[http://www.na-mic.org/publications/pages/display?search=Projects%3AProjects:ConnectivityAtlas&amp;amp;submit=Search&amp;amp;words=all&amp;amp;title=checked&amp;amp;keywords=checked&amp;amp;authors=checked&amp;amp;abstract=checked&amp;amp;sponsors=checked&amp;amp;searchbytag=checked| NA-MIC Publications Database on Atlas of Functional Connectivity]&lt;/div&gt;</summary>
		<author><name>Langs</name></author>
		
	</entry>
	<entry>
		<id>https://www.na-mic.org/w/index.php?title=Projects:ConnectivityAtlas&amp;diff=66029</id>
		<title>Projects:ConnectivityAtlas</title>
		<link rel="alternate" type="text/html" href="https://www.na-mic.org/w/index.php?title=Projects:ConnectivityAtlas&amp;diff=66029"/>
		<updated>2011-03-30T22:52:38Z</updated>

		<summary type="html">&lt;p&gt;Langs: /* Publications */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt; Back to [[NA-MIC_Internal_Collaborations:StructuralImageAnalysis|NA-MIC Collaborations]], [[Algorithm:MIT|MIT Algorithms]],&lt;br /&gt;
__NOTOC__&lt;br /&gt;
= Building an atlas of functional connectivity patterns =&lt;br /&gt;
&lt;br /&gt;
We construct an atlas that captures functional connectivity characteristics of a cognitive process from a population of individuals. The functional connectivity is encoded in a low-dimensional embedding space derived from a diffusion process on a graph that represents correlations of fMRI time courses. The atlas is represented by a common prior distribution for the embedded fMRI signals of all subjects. The atlas is not directly coupled to the anatomical space, and can represent functional networks that are variable in their spatial distribution. We derive an algorithm for fitting this generative model to the observed data in a population. Our results in a language fMRI study demonstrate that the method identifies coherent and functionally equivalent regions across subjects.&lt;br /&gt;
&lt;br /&gt;
= Description =&lt;br /&gt;
&lt;br /&gt;
We propose a different approach to characterize functional networks in a population of individuals. We do not assume a tight coupling between anatomical location and function, but view functional signals as the basis of a descriptive map that represents the global connectivity pattern during a specific cognitive process. We develop a representation of those networks based on manifold learning techniques and show how we can learn an \emph{atlas} from a population of subjects performing the same task. Our main assumption is that the connectivity pattern associated with a functional process is consistent across individuals. Accordingly, we construct a generative model (the atlas) for these connectivity patterns that describes the common structures within the population. &lt;br /&gt;
&lt;br /&gt;
The clinical goal of this work is to provide additional evidence for localization of functional areas. A robust localization approach is important for neurosurgical planning if individual activations are weak or reorganization has happened due to pathologies such as tumor growth. Furthermore the method provides a basis for understanding the mechanisms underlying formation and reorganization in the cerebral system.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:ModelScheme_revision_2.png]]&lt;br /&gt;
&lt;br /&gt;
'''''Fig.1''' Overview of the approach.''&lt;br /&gt;
&lt;br /&gt;
== Experiments ==&lt;br /&gt;
&lt;br /&gt;
We demonstrate the method on a set of six healthy control subjects. The language task (antonym generation) block design was 5min 10s long, starting with a 10s pre-stimulus period. Eight task and seven rest blocks, 20s each, alternated in the design. For each subject, an anatomical T1 MRI scan was acquired  and registered to the functional data. Grey matter was segmented with FSL on the T1 data. The grey matter labels were transferred to the co-registered fMRI volumes, and computation was restricted to grey matter.&lt;br /&gt;
&lt;br /&gt;
We first apply clustering to signals from individual subjects separately to find subject-specific cluster assignments. We then apply clustering to signals combined from ''all'' subjects to construct the corresponding group-wise cluster assignments. Likewise, we cluster the diffusion map coordinates separately in each subject to obtain subject-specific assignments. We cluster the diffusion map coordinates of all subjects aligned to the first subject linearly, and the joint atlas.&lt;br /&gt;
&lt;br /&gt;
Fig.2 shows top ranked clusters projected back onto the cortical surface for signal clustering, and for diffusion map clustering.&lt;br /&gt;
&lt;br /&gt;
[[File:SurfaceFigure_revision.png]]&lt;br /&gt;
&lt;br /&gt;
'''''Fig.2''' A comparison of the top ranked cluster when clustering in the signal space (left), and the joint atlas (right). For each clustering, we show the population level clustering on the left, and the individual clustering on the right. Below the average fMRI signal of the top ranked cluster is plotted. It is dominated by the language paradigm.''&lt;br /&gt;
&lt;br /&gt;
== Conclusion ==&lt;br /&gt;
&lt;br /&gt;
We learn an atlas of the functional connectivity structure that emerges during a cognitive process from a group of individuals. The atlas is a group-wise generative model that describes the fMRI responses of all subjects in the embedding space. The embedding space is a low dimensional representation of fMRI time courses that encodes the functional connectivity patterns within each subject. Future work will focus on the application of the framework to the study of reorganization processes.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
= Key Investigators =&lt;br /&gt;
&lt;br /&gt;
*MIT: Georg Langs, Andy Sweet, Danial Lashkari, Polina Golland&lt;br /&gt;
*Harvard: Yanmei Tie, Laura Rigolo, Alexandra Golby&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
= Publications =&lt;br /&gt;
&lt;br /&gt;
[1] Georg Langs, Yanmei Tie, Laura Rigolo, Alexandra Golby, Polina Golland. Functional Geometry Alignment and Localization of Brain Areas. in Adv. in Neural Information Processing Systems NIPS 2010&lt;br /&gt;
&lt;br /&gt;
[2] Georg Langs, Andrew Sweet, Danial Lashkari, Yanmei Tie, Laura Rigolo, Alexandra Golby, Polina Golland. Learning an Atlas of a Cognitive Process in its Functional Geometry. in Proc. of IPMI 2011&lt;br /&gt;
&lt;br /&gt;
[http://www.na-mic.org/publications/pages/display?search=Projects%3AProjects:ConnectivityAtlas&amp;amp;submit=Search&amp;amp;words=all&amp;amp;title=checked&amp;amp;keywords=checked&amp;amp;authors=checked&amp;amp;abstract=checked&amp;amp;sponsors=checked&amp;amp;searchbytag=checked| NA-MIC Publications Database on Connectivity Atlas]&lt;/div&gt;</summary>
		<author><name>Langs</name></author>
		
	</entry>
	<entry>
		<id>https://www.na-mic.org/w/index.php?title=Projects:ConnectivityAtlas&amp;diff=66027</id>
		<title>Projects:ConnectivityAtlas</title>
		<link rel="alternate" type="text/html" href="https://www.na-mic.org/w/index.php?title=Projects:ConnectivityAtlas&amp;diff=66027"/>
		<updated>2011-03-30T22:52:11Z</updated>

		<summary type="html">&lt;p&gt;Langs: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt; Back to [[NA-MIC_Internal_Collaborations:StructuralImageAnalysis|NA-MIC Collaborations]], [[Algorithm:MIT|MIT Algorithms]],&lt;br /&gt;
__NOTOC__&lt;br /&gt;
= Building an atlas of functional connectivity patterns =&lt;br /&gt;
&lt;br /&gt;
We construct an atlas that captures functional connectivity characteristics of a cognitive process from a population of individuals. The functional connectivity is encoded in a low-dimensional embedding space derived from a diffusion process on a graph that represents correlations of fMRI time courses. The atlas is represented by a common prior distribution for the embedded fMRI signals of all subjects. The atlas is not directly coupled to the anatomical space, and can represent functional networks that are variable in their spatial distribution. We derive an algorithm for fitting this generative model to the observed data in a population. Our results in a language fMRI study demonstrate that the method identifies coherent and functionally equivalent regions across subjects.&lt;br /&gt;
&lt;br /&gt;
= Description =&lt;br /&gt;
&lt;br /&gt;
We propose a different approach to characterize functional networks in a population of individuals. We do not assume a tight coupling between anatomical location and function, but view functional signals as the basis of a descriptive map that represents the global connectivity pattern during a specific cognitive process. We develop a representation of those networks based on manifold learning techniques and show how we can learn an \emph{atlas} from a population of subjects performing the same task. Our main assumption is that the connectivity pattern associated with a functional process is consistent across individuals. Accordingly, we construct a generative model (the atlas) for these connectivity patterns that describes the common structures within the population. &lt;br /&gt;
&lt;br /&gt;
The clinical goal of this work is to provide additional evidence for localization of functional areas. A robust localization approach is important for neurosurgical planning if individual activations are weak or reorganization has happened due to pathologies such as tumor growth. Furthermore the method provides a basis for understanding the mechanisms underlying formation and reorganization in the cerebral system.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:ModelScheme_revision_2.png]]&lt;br /&gt;
&lt;br /&gt;
'''''Fig.1''' Overview of the approach.''&lt;br /&gt;
&lt;br /&gt;
== Experiments ==&lt;br /&gt;
&lt;br /&gt;
We demonstrate the method on a set of six healthy control subjects. The language task (antonym generation) block design was 5min 10s long, starting with a 10s pre-stimulus period. Eight task and seven rest blocks, 20s each, alternated in the design. For each subject, an anatomical T1 MRI scan was acquired  and registered to the functional data. Grey matter was segmented with FSL on the T1 data. The grey matter labels were transferred to the co-registered fMRI volumes, and computation was restricted to grey matter.&lt;br /&gt;
&lt;br /&gt;
We first apply clustering to signals from individual subjects separately to find subject-specific cluster assignments. We then apply clustering to signals combined from ''all'' subjects to construct the corresponding group-wise cluster assignments. Likewise, we cluster the diffusion map coordinates separately in each subject to obtain subject-specific assignments. We cluster the diffusion map coordinates of all subjects aligned to the first subject linearly, and the joint atlas.&lt;br /&gt;
&lt;br /&gt;
Fig.2 shows top ranked clusters projected back onto the cortical surface for signal clustering, and for diffusion map clustering.&lt;br /&gt;
&lt;br /&gt;
[[File:SurfaceFigure_revision.png]]&lt;br /&gt;
&lt;br /&gt;
'''''Fig.2''' A comparison of the top ranked cluster when clustering in the signal space (left), and the joint atlas (right). For each clustering, we show the population level clustering on the left, and the individual clustering on the right. Below the average fMRI signal of the top ranked cluster is plotted. It is dominated by the language paradigm.''&lt;br /&gt;
&lt;br /&gt;
== Conclusion ==&lt;br /&gt;
&lt;br /&gt;
We learn an atlas of the functional connectivity structure that emerges during a cognitive process from a group of individuals. The atlas is a group-wise generative model that describes the fMRI responses of all subjects in the embedding space. The embedding space is a low dimensional representation of fMRI time courses that encodes the functional connectivity patterns within each subject. Future work will focus on the application of the framework to the study of reorganization processes.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
= Key Investigators =&lt;br /&gt;
&lt;br /&gt;
*MIT: Georg Langs, Andy Sweet, Danial Lashkari, Polina Golland&lt;br /&gt;
*Harvard: Yanmei Tie, Laura Rigolo, Alexandra Golby&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
= Publications =&lt;br /&gt;
&lt;br /&gt;
[1] Georg Langs, Yanmei Tie, Laura Rigolo, Alexandra Golby, Polina Golland. Functional Geometry Alignment and Localization of Brain Areas. in Adv. in Neural Information Processing Systems NIPS 2010&lt;br /&gt;
&lt;br /&gt;
[2] Georg Langs, Andrew Sweet, Danial Lashkari, Yanmei Tie, Laura Rigolo, Alexandra Golby, Polina Golland. Learning an Atlas of a Cognitive Process in its Functional Geometry. in Proc. of IPMI 2011&lt;br /&gt;
&lt;br /&gt;
[http://www.na-mic.org/publications/pages/display?search=Projects%3AConnectivityAtlas&amp;amp;submit=Search&amp;amp;words=all&amp;amp;title=checked&amp;amp;keywords=checked&amp;amp;authors=checked&amp;amp;abstract=checked&amp;amp;sponsors=checked&amp;amp;searchbytag=checked| NA-MIC Publications Database on Nonparametric Models for Supervised Image Segmentation]&lt;/div&gt;</summary>
		<author><name>Langs</name></author>
		
	</entry>
	<entry>
		<id>https://www.na-mic.org/w/index.php?title=Projects:GiniContrast&amp;diff=66026</id>
		<title>Projects:GiniContrast</title>
		<link rel="alternate" type="text/html" href="https://www.na-mic.org/w/index.php?title=Projects:GiniContrast&amp;diff=66026"/>
		<updated>2011-03-30T22:51:24Z</updated>

		<summary type="html">&lt;p&gt;Langs: /* Experiments */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt; Back to [[NA-MIC_Internal_Collaborations:StructuralImageAnalysis|NA-MIC Collaborations]], [[Algorithm:MIT|MIT Algorithms]],&lt;br /&gt;
__NOTOC__&lt;br /&gt;
= Gini contrast for multivariate activation detection =&lt;br /&gt;
&lt;br /&gt;
In this work, we study the benefits of Random Forest classifiers and the associated Gini importance measure for selecting voxel subsets that form a multivariate neural response in a fMRI experiment. The Gini importance measure quantifies the predictive power of a particular feature when considered as part of the entire pattern. The measure is based on a random sampling of fMRI time points and voxels. As a consequence the resulting voxel score, or Gini contrast, is highly reproducible and reliably includes all informative features. The method does not rely on {\em a priori} assumptions about the signal distribution, a specific statistical or functional model or regularization. Instead it uses the predictive power of features to characterize their relevance for encoding task information. The Gini contrast offers an additional advantage of directly quantifying the task-relevant information in a multi-class setting, rather than reducing the problem to several binary classification sub-problems. In a multi-category visual fMRI study, the proposed method identified informative regions not detected by the univariate criteria, such as the t-test or the F-test. Including these additional regions in the feature set improves the accuracy of multi-category classification. Moreover, we demonstrate higher classification accuracy and stability of the detected spatial patterns across runs than the traditional methods such as the recursive feature elimination used in conjunction with Support Vector Machines.&lt;br /&gt;
&lt;br /&gt;
[[File:GiniContrastScheme.png|800px]]&lt;br /&gt;
&lt;br /&gt;
'''''Fig.1''' Scheme of the algorithm''&lt;br /&gt;
&lt;br /&gt;
= Experiments =&lt;br /&gt;
&lt;br /&gt;
In our experiments, we observed that Gini contrast as a voxel selection score identifies regions detected by univariate criteria and additional informative regions consistently missed by univariate criteria. Regions selected by the Gini contrast measure exhibit substantial overlap for different fMRI data trials for the same subject and across subjects.&lt;br /&gt;
&lt;br /&gt;
[[File:GiniContrast_ResultIllu.png|500px]]&lt;br /&gt;
&lt;br /&gt;
'''''Fig.2''' Face category: Top row: top ranked voxels by univeriate t-test, Gini contrast, and exclusively Gini contrast. Second row: comparison between connected regions with more than 9 voxels detected by a univariate criterion ($t$-test, blue) and regions selected exclusively by Gini contrast (red). The additional regions detected by Gini contrast primarily contribute multivariate relationships to the category. For one pair of regions the de-trended BOLD values are illustrated. Together they hold significantly more information about the category than random regions. Two example regions carrying joint information are indicated by red and green curves. They exhibit characteristic joint behavior for faces: single mutual information vs. face images: I(face;red)=0.11, I(face;green)=0.054, pair-wise mutual information vs. face images: I(face;red,green)= 0.213. U - selected by univariate t-test; Gini only - selected only by Gini contrast.''&lt;/div&gt;</summary>
		<author><name>Langs</name></author>
		
	</entry>
	<entry>
		<id>https://www.na-mic.org/w/index.php?title=Projects:GiniContrast&amp;diff=66023</id>
		<title>Projects:GiniContrast</title>
		<link rel="alternate" type="text/html" href="https://www.na-mic.org/w/index.php?title=Projects:GiniContrast&amp;diff=66023"/>
		<updated>2011-03-30T22:50:35Z</updated>

		<summary type="html">&lt;p&gt;Langs: /* Experiments */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt; Back to [[NA-MIC_Internal_Collaborations:StructuralImageAnalysis|NA-MIC Collaborations]], [[Algorithm:MIT|MIT Algorithms]],&lt;br /&gt;
__NOTOC__&lt;br /&gt;
= Gini contrast for multivariate activation detection =&lt;br /&gt;
&lt;br /&gt;
In this work, we study the benefits of Random Forest classifiers and the associated Gini importance measure for selecting voxel subsets that form a multivariate neural response in a fMRI experiment. The Gini importance measure quantifies the predictive power of a particular feature when considered as part of the entire pattern. The measure is based on a random sampling of fMRI time points and voxels. As a consequence the resulting voxel score, or Gini contrast, is highly reproducible and reliably includes all informative features. The method does not rely on {\em a priori} assumptions about the signal distribution, a specific statistical or functional model or regularization. Instead it uses the predictive power of features to characterize their relevance for encoding task information. The Gini contrast offers an additional advantage of directly quantifying the task-relevant information in a multi-class setting, rather than reducing the problem to several binary classification sub-problems. In a multi-category visual fMRI study, the proposed method identified informative regions not detected by the univariate criteria, such as the t-test or the F-test. Including these additional regions in the feature set improves the accuracy of multi-category classification. Moreover, we demonstrate higher classification accuracy and stability of the detected spatial patterns across runs than the traditional methods such as the recursive feature elimination used in conjunction with Support Vector Machines.&lt;br /&gt;
&lt;br /&gt;
[[File:GiniContrastScheme.png|800px]]&lt;br /&gt;
&lt;br /&gt;
'''''Fig.1''' Scheme of the algorithm''&lt;br /&gt;
&lt;br /&gt;
= Experiments =&lt;br /&gt;
&lt;br /&gt;
In our experiments, we observed that Gini contrast as a voxel selection score identifies regions detected by univariate criteria and additional informative regions consistently missed by univariate criteria. Regions selected by the Gini contrast measure exhibit substantial overlap for different fMRI data trials for the same subject and across subjects.&lt;br /&gt;
&lt;br /&gt;
[[File:GiniContrast_ResultIllu.png]]&lt;br /&gt;
&lt;br /&gt;
'''''Fig.2''' Face category: Top row: top ranked voxels by univeriate t-test, Gini contrast, and exclusively Gini contrast. Second row: comparison between connected regions with more than 9 voxels detected by a univariate criterion ($t$-test, blue) and regions selected exclusively by Gini contrast (red). The additional regions detected by Gini contrast primarily contribute multivariate relationships to the category. For one pair of regions the de-trended BOLD values are illustrated. Together they hold significantly more information about the category than random regions. Two example regions carrying joint information are indicated by red and green curves. They exhibit characteristic joint behavior for faces: single mutual information vs. face images: I(face;red)=0.11, I(face;green)=0.054, pair-wise mutual information vs. face images: I(face;red,green)= 0.213. U - selected by univariate t-test; Gini only - selected only by Gini contrast.''&lt;/div&gt;</summary>
		<author><name>Langs</name></author>
		
	</entry>
	<entry>
		<id>https://www.na-mic.org/w/index.php?title=File:GiniContrast_ResultIllu.png&amp;diff=66017</id>
		<title>File:GiniContrast ResultIllu.png</title>
		<link rel="alternate" type="text/html" href="https://www.na-mic.org/w/index.php?title=File:GiniContrast_ResultIllu.png&amp;diff=66017"/>
		<updated>2011-03-30T22:49:19Z</updated>

		<summary type="html">&lt;p&gt;Langs: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Langs</name></author>
		
	</entry>
	<entry>
		<id>https://www.na-mic.org/w/index.php?title=Projects:GiniContrast&amp;diff=66015</id>
		<title>Projects:GiniContrast</title>
		<link rel="alternate" type="text/html" href="https://www.na-mic.org/w/index.php?title=Projects:GiniContrast&amp;diff=66015"/>
		<updated>2011-03-30T22:48:11Z</updated>

		<summary type="html">&lt;p&gt;Langs: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt; Back to [[NA-MIC_Internal_Collaborations:StructuralImageAnalysis|NA-MIC Collaborations]], [[Algorithm:MIT|MIT Algorithms]],&lt;br /&gt;
__NOTOC__&lt;br /&gt;
= Gini contrast for multivariate activation detection =&lt;br /&gt;
&lt;br /&gt;
In this work, we study the benefits of Random Forest classifiers and the associated Gini importance measure for selecting voxel subsets that form a multivariate neural response in a fMRI experiment. The Gini importance measure quantifies the predictive power of a particular feature when considered as part of the entire pattern. The measure is based on a random sampling of fMRI time points and voxels. As a consequence the resulting voxel score, or Gini contrast, is highly reproducible and reliably includes all informative features. The method does not rely on {\em a priori} assumptions about the signal distribution, a specific statistical or functional model or regularization. Instead it uses the predictive power of features to characterize their relevance for encoding task information. The Gini contrast offers an additional advantage of directly quantifying the task-relevant information in a multi-class setting, rather than reducing the problem to several binary classification sub-problems. In a multi-category visual fMRI study, the proposed method identified informative regions not detected by the univariate criteria, such as the t-test or the F-test. Including these additional regions in the feature set improves the accuracy of multi-category classification. Moreover, we demonstrate higher classification accuracy and stability of the detected spatial patterns across runs than the traditional methods such as the recursive feature elimination used in conjunction with Support Vector Machines.&lt;br /&gt;
&lt;br /&gt;
[[File:GiniContrastScheme.png|800px]]&lt;br /&gt;
&lt;br /&gt;
'''''Fig.1''' Scheme of the algorithm''&lt;br /&gt;
&lt;br /&gt;
= Experiments =&lt;br /&gt;
&lt;br /&gt;
In our experiments, we observed that Gini contrast as a voxel selection score identifies regions detected by univariate criteria and additional informative regions consistently missed by univariate criteria. Regions selected by the Gini contrast measure exhibit substantial overlap for different fMRI data trials for the same subject and across subjects.&lt;/div&gt;</summary>
		<author><name>Langs</name></author>
		
	</entry>
	<entry>
		<id>https://www.na-mic.org/w/index.php?title=Projects:GiniContrast&amp;diff=66006</id>
		<title>Projects:GiniContrast</title>
		<link rel="alternate" type="text/html" href="https://www.na-mic.org/w/index.php?title=Projects:GiniContrast&amp;diff=66006"/>
		<updated>2011-03-30T22:37:50Z</updated>

		<summary type="html">&lt;p&gt;Langs: /* Gini contrast for multivariate activation detection */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt; Back to [[NA-MIC_Internal_Collaborations:StructuralImageAnalysis|NA-MIC Collaborations]], [[Algorithm:MIT|MIT Algorithms]],&lt;br /&gt;
__NOTOC__&lt;br /&gt;
= Gini contrast for multivariate activation detection =&lt;br /&gt;
&lt;br /&gt;
In this work, we study the benefits of Random Forest classifiers and the associated Gini importance measure for selecting voxel subsets that form a multivariate neural response in a fMRI experiment. The Gini importance measure quantifies the predictive power of a particular feature when considered as part of the entire pattern. The measure is based on a random sampling of fMRI time points and voxels. As a consequence the resulting voxel score, or Gini contrast, is highly reproducible and reliably includes all informative features. The method does not rely on {\em a priori} assumptions about the signal distribution, a specific statistical or functional model or regularization. Instead it uses the predictive power of features to characterize their relevance for encoding task information. The Gini contrast offers an additional advantage of directly quantifying the task-relevant information in a multi-class setting, rather than reducing the problem to several binary classification sub-problems. In a multi-category visual fMRI study, the proposed method identified informative regions not detected by the univariate criteria, such as the t-test or the F-test. Including these additional regions in the feature set improves the accuracy of multi-category classification. Moreover, we demonstrate higher classification accuracy and stability of the detected spatial patterns across runs than the traditional methods such as the recursive feature elimination used in conjunction with Support Vector Machines.&lt;br /&gt;
&lt;br /&gt;
[[File:GiniContrastScheme.png|800px]]&lt;br /&gt;
&lt;br /&gt;
'''''Fig.1''' Scheme of the algorithm''&lt;/div&gt;</summary>
		<author><name>Langs</name></author>
		
	</entry>
	<entry>
		<id>https://www.na-mic.org/w/index.php?title=Projects:GiniContrast&amp;diff=66004</id>
		<title>Projects:GiniContrast</title>
		<link rel="alternate" type="text/html" href="https://www.na-mic.org/w/index.php?title=Projects:GiniContrast&amp;diff=66004"/>
		<updated>2011-03-30T22:37:36Z</updated>

		<summary type="html">&lt;p&gt;Langs: /* Gini contrast for multivariate activation detection */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt; Back to [[NA-MIC_Internal_Collaborations:StructuralImageAnalysis|NA-MIC Collaborations]], [[Algorithm:MIT|MIT Algorithms]],&lt;br /&gt;
__NOTOC__&lt;br /&gt;
= Gini contrast for multivariate activation detection =&lt;br /&gt;
&lt;br /&gt;
In this work, we study the benefits of Random Forest classifiers and the associated Gini importance measure for selecting voxel subsets that form a multivariate neural response in a fMRI experiment. The Gini importance measure quantifies the predictive power of a particular feature when considered as part of the entire pattern. The measure is based on a random sampling of fMRI time points and voxels. As a consequence the resulting voxel score, or Gini contrast, is highly reproducible and reliably includes all informative features. The method does not rely on {\em a priori} assumptions about the signal distribution, a specific statistical or functional model or regularization. Instead it uses the predictive power of features to characterize their relevance for encoding task information. The Gini contrast offers an additional advantage of directly quantifying the task-relevant information in a multi-class setting, rather than reducing the problem to several binary classification sub-problems. In a multi-category visual fMRI study, the proposed method identified informative regions not detected by the univariate criteria, such as the t-test or the F-test. Including these additional regions in the feature set improves the accuracy of multi-category classification. Moreover, we demonstrate higher classification accuracy and stability of the detected spatial patterns across runs than the traditional methods such as the recursive feature elimination used in conjunction with Support Vector Machines.&lt;br /&gt;
&lt;br /&gt;
[[File:GiniContrastScheme.png|center|800px]]&lt;br /&gt;
&lt;br /&gt;
'''''Fig.1''' Scheme of the algorithm''&lt;/div&gt;</summary>
		<author><name>Langs</name></author>
		
	</entry>
	<entry>
		<id>https://www.na-mic.org/w/index.php?title=Projects:GiniContrast&amp;diff=66003</id>
		<title>Projects:GiniContrast</title>
		<link rel="alternate" type="text/html" href="https://www.na-mic.org/w/index.php?title=Projects:GiniContrast&amp;diff=66003"/>
		<updated>2011-03-30T22:36:54Z</updated>

		<summary type="html">&lt;p&gt;Langs: /* Gini contrast for multivariate activation detection */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt; Back to [[NA-MIC_Internal_Collaborations:StructuralImageAnalysis|NA-MIC Collaborations]], [[Algorithm:MIT|MIT Algorithms]],&lt;br /&gt;
__NOTOC__&lt;br /&gt;
= Gini contrast for multivariate activation detection =&lt;br /&gt;
&lt;br /&gt;
In this work, we study the benefits of Random Forest classifiers and the associated Gini importance measure for selecting voxel subsets that form a multivariate neural response in a fMRI experiment. The Gini importance measure quantifies the predictive power of a particular feature when considered as part of the entire pattern. The measure is based on a random sampling of fMRI time points and voxels. As a consequence the resulting voxel score, or Gini contrast, is highly reproducible and reliably includes all informative features. The method does not rely on {\em a priori} assumptions about the signal distribution, a specific statistical or functional model or regularization. Instead it uses the predictive power of features to characterize their relevance for encoding task information. The Gini contrast offers an additional advantage of directly quantifying the task-relevant information in a multi-class setting, rather than reducing the problem to several binary classification sub-problems. In a multi-category visual fMRI study, the proposed method identified informative regions not detected by the univariate criteria, such as the t-test or the F-test. Including these additional regions in the feature set improves the accuracy of multi-category classification. Moreover, we demonstrate higher classification accuracy and stability of the detected spatial patterns across runs than the traditional methods such as the recursive feature elimination used in conjunction with Support Vector Machines.&lt;br /&gt;
&lt;br /&gt;
[[File:GiniContrastScheme.png]]&lt;br /&gt;
&lt;br /&gt;
'''''Fig.1''' Scheme of the algorithm''&lt;/div&gt;</summary>
		<author><name>Langs</name></author>
		
	</entry>
	<entry>
		<id>https://www.na-mic.org/w/index.php?title=File:GiniContrastScheme.png&amp;diff=66001</id>
		<title>File:GiniContrastScheme.png</title>
		<link rel="alternate" type="text/html" href="https://www.na-mic.org/w/index.php?title=File:GiniContrastScheme.png&amp;diff=66001"/>
		<updated>2011-03-30T22:35:48Z</updated>

		<summary type="html">&lt;p&gt;Langs: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Langs</name></author>
		
	</entry>
	<entry>
		<id>https://www.na-mic.org/w/index.php?title=Projects:ConnectivityAtlas&amp;diff=65988</id>
		<title>Projects:ConnectivityAtlas</title>
		<link rel="alternate" type="text/html" href="https://www.na-mic.org/w/index.php?title=Projects:ConnectivityAtlas&amp;diff=65988"/>
		<updated>2011-03-30T22:32:06Z</updated>

		<summary type="html">&lt;p&gt;Langs: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt; Back to [[NA-MIC_Internal_Collaborations:StructuralImageAnalysis|NA-MIC Collaborations]], [[Algorithm:MIT|MIT Algorithms]],&lt;br /&gt;
__NOTOC__&lt;br /&gt;
= Building an atlas of functional connectivity patterns =&lt;br /&gt;
&lt;br /&gt;
We construct an atlas that captures functional connectivity characteristics of a cognitive process from a population of individuals. The functional connectivity is encoded in a low-dimensional embedding space derived from a diffusion process on a graph that represents correlations of fMRI time courses. The atlas is represented by a common prior distribution for the embedded fMRI signals of all subjects. The atlas is not directly coupled to the anatomical space, and can represent functional networks that are variable in their spatial distribution. We derive an algorithm for fitting this generative model to the observed data in a population. Our results in a language fMRI study demonstrate that the method identifies coherent and functionally equivalent regions across subjects.&lt;br /&gt;
&lt;br /&gt;
= Description =&lt;br /&gt;
&lt;br /&gt;
We propose a different approach to characterize functional networks in a population of individuals. We do not assume a tight coupling between anatomical location and function, but view functional signals as the basis of a descriptive map that represents the global connectivity pattern during a specific cognitive process. We develop a representation of those networks based on manifold learning techniques and show how we can learn an \emph{atlas} from a population of subjects performing the same task. Our main assumption is that the connectivity pattern associated with a functional process is consistent across individuals. Accordingly, we construct a generative model (the atlas) for these connectivity patterns that describes the common structures within the population. &lt;br /&gt;
&lt;br /&gt;
The clinical goal of this work is to provide additional evidence for localization of functional areas. A robust localization approach is important for neurosurgical planning if individual activations are weak or reorganization has happened due to pathologies such as tumor growth. Furthermore the method provides a basis for understanding the mechanisms underlying formation and reorganization in the cerebral system.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:ModelScheme_revision_2.png]]&lt;br /&gt;
&lt;br /&gt;
'''''Fig.1''' Overview of the approach.''&lt;br /&gt;
&lt;br /&gt;
== Experiments ==&lt;br /&gt;
&lt;br /&gt;
We demonstrate the method on a set of six healthy control subjects. The language task (antonym generation) block design was 5min 10s long, starting with a 10s pre-stimulus period. Eight task and seven rest blocks, 20s each, alternated in the design. For each subject, an anatomical T1 MRI scan was acquired  and registered to the functional data. Grey matter was segmented with FSL on the T1 data. The grey matter labels were transferred to the co-registered fMRI volumes, and computation was restricted to grey matter.&lt;br /&gt;
&lt;br /&gt;
We first apply clustering to signals from individual subjects separately to find subject-specific cluster assignments. We then apply clustering to signals combined from ''all'' subjects to construct the corresponding group-wise cluster assignments. Likewise, we cluster the diffusion map coordinates separately in each subject to obtain subject-specific assignments. We cluster the diffusion map coordinates of all subjects aligned to the first subject linearly, and the joint atlas.&lt;br /&gt;
&lt;br /&gt;
Fig.2 shows top ranked clusters projected back onto the cortical surface for signal clustering, and for diffusion map clustering.&lt;br /&gt;
&lt;br /&gt;
[[File:SurfaceFigure_revision.png]]&lt;br /&gt;
&lt;br /&gt;
'''''Fig.2''' A comparison of the top ranked cluster when clustering in the signal space (left), and the joint atlas (right). For each clustering, we show the population level clustering on the left, and the individual clustering on the right. Below the average fMRI signal of the top ranked cluster is plotted. It is dominated by the language paradigm.''&lt;br /&gt;
&lt;br /&gt;
== Conclusion ==&lt;br /&gt;
&lt;br /&gt;
We learn an atlas of the functional connectivity structure that emerges during a cognitive process from a group of individuals. The atlas is a group-wise generative model that describes the fMRI responses of all subjects in the embedding space. The embedding space is a low dimensional representation of fMRI time courses that encodes the functional connectivity patterns within each subject. Future work will focus on the application of the framework to the study of reorganization processes.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
= Key Investigators =&lt;br /&gt;
&lt;br /&gt;
*MIT: Georg Langs, Andy Sweet, Danial Lashkari, Polina Golland&lt;br /&gt;
*Harvard: Yanmei Tie, Laura Rigolo, Alexandra Golby&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
= Publications =&lt;br /&gt;
&lt;br /&gt;
[1] Georg Langs, Yanmei Tie, Laura Rigolo, Alexandra Golby, Polina Golland. Functional Geometry Alignment and Localization of Brain Areas. in Adv. in Neural Information Processing Systems NIPS 2010&lt;br /&gt;
&lt;br /&gt;
[2] Georg Langs, Andrew Sweet, Danial Lashkari, Yanmei Tie, Laura Rigolo, Alexandra Golby, Polina Golland. Learning an Atlas of a Cognitive Process in its Functional Geometry. in Proc. of IPMI 2011&lt;br /&gt;
&lt;br /&gt;
[http://www.na-mic.org/publications/pages/display?search=Projects%3ANonparametricSegmentation&amp;amp;submit=Search&amp;amp;words=all&amp;amp;title=checked&amp;amp;keywords=checked&amp;amp;authors=checked&amp;amp;abstract=checked&amp;amp;sponsors=checked&amp;amp;searchbytag=checked| NA-MIC Publications Database on Nonparametric Models for Supervised Image Segmentation]&lt;/div&gt;</summary>
		<author><name>Langs</name></author>
		
	</entry>
	<entry>
		<id>https://www.na-mic.org/w/index.php?title=Projects:ConnectivityAtlas&amp;diff=65959</id>
		<title>Projects:ConnectivityAtlas</title>
		<link rel="alternate" type="text/html" href="https://www.na-mic.org/w/index.php?title=Projects:ConnectivityAtlas&amp;diff=65959"/>
		<updated>2011-03-30T22:07:19Z</updated>

		<summary type="html">&lt;p&gt;Langs: /* Description */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt; Back to [[NA-MIC_Internal_Collaborations:StructuralImageAnalysis|NA-MIC Collaborations]], [[Algorithm:MIT|MIT Algorithms]],&lt;br /&gt;
__NOTOC__&lt;br /&gt;
= Building an atlas of functional connectivity patterns =&lt;br /&gt;
&lt;br /&gt;
We construct an atlas that captures functional connectivity characteristics of a cognitive process from a population of individuals. The functional connectivity is encoded in a low-dimensional embedding space derived from a diffusion process on a graph that represents correlations of fMRI time courses. The atlas is represented by a common prior distribution for the embedded fMRI signals of all subjects. The atlas is not directly coupled to the anatomical space, and can represent functional networks that are variable in their spatial distribution. We derive an algorithm for fitting this generative model to the observed data in a population. Our results in a language fMRI study demonstrate that the method identifies coherent and functionally equivalent regions across subjects.&lt;br /&gt;
&lt;br /&gt;
= Description =&lt;br /&gt;
&lt;br /&gt;
We propose a different approach to characterize functional networks in a population of individuals. We do not assume a tight coupling between anatomical location and function, but view functional signals as the basis of a descriptive map that represents the global connectivity pattern during a specific cognitive process. We develop a representation of those networks based on manifold learning techniques and show how we can learn an \emph{atlas} from a population of subjects performing the same task. Our main assumption is that the connectivity pattern associated with a functional process is consistent across individuals. Accordingly, we construct a generative model (the atlas) for these connectivity patterns that describes the common structures within the population. &lt;br /&gt;
&lt;br /&gt;
The clinical goal of this work is to provide additional evidence for localization of functional areas. A robust localization approach is important for neurosurgical planning if individual activations are weak or reorganization has happened due to pathologies such as tumor growth. Furthermore the method provides a basis for understanding the mechanisms underlying formation and reorganization in the cerebral system.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:ModelScheme_revision_2.png]]&lt;br /&gt;
&lt;br /&gt;
'''''Fig.1''' Overview of the approach.''&lt;br /&gt;
&lt;br /&gt;
== Experiments ==&lt;br /&gt;
&lt;br /&gt;
We demonstrate the method on a set of six healthy control subjects. The language task (antonym generation) block design was 5min 10s long, starting with a 10s pre-stimulus period. Eight task and seven rest blocks, 20s each, alternated in the design. For each subject, an anatomical T1 MRI scan was acquired  and registered to the functional data. Grey matter was segmented with FSL on the T1 data. The grey matter labels were transferred to the co-registered fMRI volumes, and computation was restricted to grey matter.&lt;br /&gt;
&lt;br /&gt;
We first apply clustering to signals from individual subjects separately to find subject-specific cluster assignments. We then apply clustering to signals combined from ''all'' subjects to construct the corresponding group-wise cluster assignments. Likewise, we cluster the diffusion map coordinates separately in each subject to obtain subject-specific assignments. We cluster the diffusion map coordinates of all subjects aligned to the first subject linearly, and the joint atlas.&lt;br /&gt;
&lt;br /&gt;
Fig.2 shows top ranked clusters projected back onto the cortical surface for signal clustering, and for diffusion map clustering.&lt;br /&gt;
&lt;br /&gt;
[[File:SurfaceFigure_revision.png]]&lt;br /&gt;
&lt;br /&gt;
'''''Fig.2''' A comparison of the top ranked cluster when clustering in the signal space (left), and the joint atlas (right). For each clustering, we show the population level clustering on the left, and the individual clustering on the right. Below the average fMRI signal of the top ranked cluster is plotted. It is dominated by the language paradigm.''&lt;br /&gt;
&lt;br /&gt;
== Conclusion ==&lt;br /&gt;
&lt;br /&gt;
We learn an atlas of the functional connectivity structure that emerges during a cognitive process from a group of individuals. The atlas is a group-wise generative model that describes the fMRI responses of all subjects in the embedding space. The embedding space is a low dimensional representation of fMRI time courses that encodes the functional connectivity patterns within each subject. Future work will focus on the application of the framework to the study of reorganization processes.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
== Literature ==&lt;br /&gt;
[1] Georg Langs, Yanmei Tie, Laura Rigolo, Alexandra Golby, Polina Golland. Functional Geometry Alignment and Localization of Brain Areas. in Adv. in Neural Information Processing Systems NIPS 2010&lt;br /&gt;
&lt;br /&gt;
[2] Georg Langs, Andrew Sweet, Danial Lashkari, Yanmei Tie, Laura Rigolo, Alexandra Golby, Polina Golland. Learning an Atlas of a Cognitive Process in its Functional Geometry. in Proc. of IPMI 2011&lt;br /&gt;
&lt;br /&gt;
= Key Investigators =&lt;br /&gt;
&lt;br /&gt;
*MIT: Georg Langs, Andy Sweet, Danial Lashkari, Polina Golland&lt;br /&gt;
*Harvard: Yanmei Tie, Laura Rigolo, Alexandra Golby&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
= Publications =&lt;br /&gt;
&lt;br /&gt;
[http://www.na-mic.org/publications/pages/display?search=Projects%3ANonparametricSegmentation&amp;amp;submit=Search&amp;amp;words=all&amp;amp;title=checked&amp;amp;keywords=checked&amp;amp;authors=checked&amp;amp;abstract=checked&amp;amp;sponsors=checked&amp;amp;searchbytag=checked| NA-MIC Publications Database on Nonparametric Models for Supervised Image Segmentation]&lt;/div&gt;</summary>
		<author><name>Langs</name></author>
		
	</entry>
	<entry>
		<id>https://www.na-mic.org/w/index.php?title=Projects:ConnectivityAtlas&amp;diff=65958</id>
		<title>Projects:ConnectivityAtlas</title>
		<link rel="alternate" type="text/html" href="https://www.na-mic.org/w/index.php?title=Projects:ConnectivityAtlas&amp;diff=65958"/>
		<updated>2011-03-30T22:07:04Z</updated>

		<summary type="html">&lt;p&gt;Langs: /* Description */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt; Back to [[NA-MIC_Internal_Collaborations:StructuralImageAnalysis|NA-MIC Collaborations]], [[Algorithm:MIT|MIT Algorithms]],&lt;br /&gt;
__NOTOC__&lt;br /&gt;
= Building an atlas of functional connectivity patterns =&lt;br /&gt;
&lt;br /&gt;
We construct an atlas that captures functional connectivity characteristics of a cognitive process from a population of individuals. The functional connectivity is encoded in a low-dimensional embedding space derived from a diffusion process on a graph that represents correlations of fMRI time courses. The atlas is represented by a common prior distribution for the embedded fMRI signals of all subjects. The atlas is not directly coupled to the anatomical space, and can represent functional networks that are variable in their spatial distribution. We derive an algorithm for fitting this generative model to the observed data in a population. Our results in a language fMRI study demonstrate that the method identifies coherent and functionally equivalent regions across subjects.&lt;br /&gt;
&lt;br /&gt;
= Description =&lt;br /&gt;
&lt;br /&gt;
We propose a different approach to characterize functional networks in a population of individuals. We do not assume a tight coupling between anatomical location and function, but view functional signals as the basis of a descriptive map that represents the global connectivity pattern during a specific cognitive process. We develop a representation of those networks based on manifold learning techniques and show how we can learn an \emph{atlas} from a population of subjects performing the same task. Our main assumption is that the connectivity pattern associated with a functional process is consistent across individuals. Accordingly, we construct a generative model (the atlas) for these connectivity patterns that describes the common structures within the population. &lt;br /&gt;
&lt;br /&gt;
The clinical goal of this work is to provide additional evidence for localization of functional areas. A robust localization approach is important for neurosurgical planning if individual activations are weak or reorganization has happened due to pathologies such as tumor growth. Furthermore the method provides a basis for understanding the mechanisms underlying formation and reorganization in the cerebral system.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:ModelScheme_revision_2.png]]&lt;br /&gt;
&lt;br /&gt;
'''''Fig.1''' An overview of the approach.''&lt;br /&gt;
&lt;br /&gt;
== Experiments ==&lt;br /&gt;
&lt;br /&gt;
We demonstrate the method on a set of six healthy control subjects. The language task (antonym generation) block design was 5min 10s long, starting with a 10s pre-stimulus period. Eight task and seven rest blocks, 20s each, alternated in the design. For each subject, an anatomical T1 MRI scan was acquired  and registered to the functional data. Grey matter was segmented with FSL on the T1 data. The grey matter labels were transferred to the co-registered fMRI volumes, and computation was restricted to grey matter.&lt;br /&gt;
&lt;br /&gt;
We first apply clustering to signals from individual subjects separately to find subject-specific cluster assignments. We then apply clustering to signals combined from ''all'' subjects to construct the corresponding group-wise cluster assignments. Likewise, we cluster the diffusion map coordinates separately in each subject to obtain subject-specific assignments. We cluster the diffusion map coordinates of all subjects aligned to the first subject linearly, and the joint atlas.&lt;br /&gt;
&lt;br /&gt;
Fig.2 shows top ranked clusters projected back onto the cortical surface for signal clustering, and for diffusion map clustering.&lt;br /&gt;
&lt;br /&gt;
[[File:SurfaceFigure_revision.png]]&lt;br /&gt;
&lt;br /&gt;
'''''Fig.2''' A comparison of the top ranked cluster when clustering in the signal space (left), and the joint atlas (right). For each clustering, we show the population level clustering on the left, and the individual clustering on the right. Below the average fMRI signal of the top ranked cluster is plotted. It is dominated by the language paradigm.''&lt;br /&gt;
&lt;br /&gt;
== Conclusion ==&lt;br /&gt;
&lt;br /&gt;
We learn an atlas of the functional connectivity structure that emerges during a cognitive process from a group of individuals. The atlas is a group-wise generative model that describes the fMRI responses of all subjects in the embedding space. The embedding space is a low dimensional representation of fMRI time courses that encodes the functional connectivity patterns within each subject. Future work will focus on the application of the framework to the study of reorganization processes.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
== Literature ==&lt;br /&gt;
[1] Georg Langs, Yanmei Tie, Laura Rigolo, Alexandra Golby, Polina Golland. Functional Geometry Alignment and Localization of Brain Areas. in Adv. in Neural Information Processing Systems NIPS 2010&lt;br /&gt;
&lt;br /&gt;
[2] Georg Langs, Andrew Sweet, Danial Lashkari, Yanmei Tie, Laura Rigolo, Alexandra Golby, Polina Golland. Learning an Atlas of a Cognitive Process in its Functional Geometry. in Proc. of IPMI 2011&lt;br /&gt;
&lt;br /&gt;
= Key Investigators =&lt;br /&gt;
&lt;br /&gt;
*MIT: Georg Langs, Andy Sweet, Danial Lashkari, Polina Golland&lt;br /&gt;
*Harvard: Yanmei Tie, Laura Rigolo, Alexandra Golby&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
= Publications =&lt;br /&gt;
&lt;br /&gt;
[http://www.na-mic.org/publications/pages/display?search=Projects%3ANonparametricSegmentation&amp;amp;submit=Search&amp;amp;words=all&amp;amp;title=checked&amp;amp;keywords=checked&amp;amp;authors=checked&amp;amp;abstract=checked&amp;amp;sponsors=checked&amp;amp;searchbytag=checked| NA-MIC Publications Database on Nonparametric Models for Supervised Image Segmentation]&lt;/div&gt;</summary>
		<author><name>Langs</name></author>
		
	</entry>
	<entry>
		<id>https://www.na-mic.org/w/index.php?title=Projects:ConnectivityAtlas&amp;diff=65957</id>
		<title>Projects:ConnectivityAtlas</title>
		<link rel="alternate" type="text/html" href="https://www.na-mic.org/w/index.php?title=Projects:ConnectivityAtlas&amp;diff=65957"/>
		<updated>2011-03-30T22:06:24Z</updated>

		<summary type="html">&lt;p&gt;Langs: /* Experiments */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt; Back to [[NA-MIC_Internal_Collaborations:StructuralImageAnalysis|NA-MIC Collaborations]], [[Algorithm:MIT|MIT Algorithms]],&lt;br /&gt;
__NOTOC__&lt;br /&gt;
= Building an atlas of functional connectivity patterns =&lt;br /&gt;
&lt;br /&gt;
We construct an atlas that captures functional connectivity characteristics of a cognitive process from a population of individuals. The functional connectivity is encoded in a low-dimensional embedding space derived from a diffusion process on a graph that represents correlations of fMRI time courses. The atlas is represented by a common prior distribution for the embedded fMRI signals of all subjects. The atlas is not directly coupled to the anatomical space, and can represent functional networks that are variable in their spatial distribution. We derive an algorithm for fitting this generative model to the observed data in a population. Our results in a language fMRI study demonstrate that the method identifies coherent and functionally equivalent regions across subjects.&lt;br /&gt;
&lt;br /&gt;
= Description =&lt;br /&gt;
&lt;br /&gt;
We propose a different approach to characterize functional networks in a population of individuals. We do not assume a tight coupling between anatomical location and function, but view functional signals as the basis of a descriptive map that represents the global connectivity pattern during a specific cognitive process. We develop a representation of those networks based on manifold learning techniques and show how we can learn an \emph{atlas} from a population of subjects performing the same task. Our main assumption is that the connectivity pattern associated with a functional process is consistent across individuals. Accordingly, we construct a generative model (the atlas) for these connectivity patterns that describes the common structures within the population. &lt;br /&gt;
&lt;br /&gt;
The clinical goal of this work is to provide additional evidence for localization of functional areas. A robust localization approach is important for neurosurgical planning if individual activations are weak or reorganization has happened due to pathologies such as tumor growth. Furthermore the method provides a basis for understanding the mechanisms underlying formation and reorganization in the cerebral system.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:ModelScheme_revision_2.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
== Experiments ==&lt;br /&gt;
&lt;br /&gt;
We demonstrate the method on a set of six healthy control subjects. The language task (antonym generation) block design was 5min 10s long, starting with a 10s pre-stimulus period. Eight task and seven rest blocks, 20s each, alternated in the design. For each subject, an anatomical T1 MRI scan was acquired  and registered to the functional data. Grey matter was segmented with FSL on the T1 data. The grey matter labels were transferred to the co-registered fMRI volumes, and computation was restricted to grey matter.&lt;br /&gt;
&lt;br /&gt;
We first apply clustering to signals from individual subjects separately to find subject-specific cluster assignments. We then apply clustering to signals combined from ''all'' subjects to construct the corresponding group-wise cluster assignments. Likewise, we cluster the diffusion map coordinates separately in each subject to obtain subject-specific assignments. We cluster the diffusion map coordinates of all subjects aligned to the first subject linearly, and the joint atlas.&lt;br /&gt;
&lt;br /&gt;
Fig.2 shows top ranked clusters projected back onto the cortical surface for signal clustering, and for diffusion map clustering.&lt;br /&gt;
&lt;br /&gt;
[[File:SurfaceFigure_revision.png]]&lt;br /&gt;
&lt;br /&gt;
'''''Fig.2''' A comparison of the top ranked cluster when clustering in the signal space (left), and the joint atlas (right). For each clustering, we show the population level clustering on the left, and the individual clustering on the right. Below the average fMRI signal of the top ranked cluster is plotted. It is dominated by the language paradigm.''&lt;br /&gt;
&lt;br /&gt;
== Conclusion ==&lt;br /&gt;
&lt;br /&gt;
We learn an atlas of the functional connectivity structure that emerges during a cognitive process from a group of individuals. The atlas is a group-wise generative model that describes the fMRI responses of all subjects in the embedding space. The embedding space is a low dimensional representation of fMRI time courses that encodes the functional connectivity patterns within each subject. Future work will focus on the application of the framework to the study of reorganization processes.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
== Literature ==&lt;br /&gt;
[1] Georg Langs, Yanmei Tie, Laura Rigolo, Alexandra Golby, Polina Golland. Functional Geometry Alignment and Localization of Brain Areas. in Adv. in Neural Information Processing Systems NIPS 2010&lt;br /&gt;
&lt;br /&gt;
[2] Georg Langs, Andrew Sweet, Danial Lashkari, Yanmei Tie, Laura Rigolo, Alexandra Golby, Polina Golland. Learning an Atlas of a Cognitive Process in its Functional Geometry. in Proc. of IPMI 2011&lt;br /&gt;
&lt;br /&gt;
= Key Investigators =&lt;br /&gt;
&lt;br /&gt;
*MIT: Georg Langs, Andy Sweet, Danial Lashkari, Polina Golland&lt;br /&gt;
*Harvard: Yanmei Tie, Laura Rigolo, Alexandra Golby&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
= Publications =&lt;br /&gt;
&lt;br /&gt;
[http://www.na-mic.org/publications/pages/display?search=Projects%3ANonparametricSegmentation&amp;amp;submit=Search&amp;amp;words=all&amp;amp;title=checked&amp;amp;keywords=checked&amp;amp;authors=checked&amp;amp;abstract=checked&amp;amp;sponsors=checked&amp;amp;searchbytag=checked| NA-MIC Publications Database on Nonparametric Models for Supervised Image Segmentation]&lt;/div&gt;</summary>
		<author><name>Langs</name></author>
		
	</entry>
	<entry>
		<id>https://www.na-mic.org/w/index.php?title=Projects:GiniContrast&amp;diff=65956</id>
		<title>Projects:GiniContrast</title>
		<link rel="alternate" type="text/html" href="https://www.na-mic.org/w/index.php?title=Projects:GiniContrast&amp;diff=65956"/>
		<updated>2011-03-30T22:05:36Z</updated>

		<summary type="html">&lt;p&gt;Langs: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt; Back to [[NA-MIC_Internal_Collaborations:StructuralImageAnalysis|NA-MIC Collaborations]], [[Algorithm:MIT|MIT Algorithms]],&lt;br /&gt;
__NOTOC__&lt;br /&gt;
= Gini contrast for multivariate activation detection =&lt;br /&gt;
&lt;br /&gt;
In this work, we study the benefits of Random Forest classifiers and the associated Gini importance measure for selecting voxel subsets that form a multivariate neural response in a fMRI experiment. The Gini importance measure quantifies the predictive power of a particular feature when considered as part of the entire pattern. The measure is based on a random sampling of fMRI time points and voxels. As a consequence the resulting voxel score, or \emph{Gini contrast}, is highly reproducible and reliably includes all informative features. The method does not rely on {\em a priori} assumptions about the signal distribution, a specific statistical or functional model or regularization. Instead it uses the predictive power of features to characterize their relevance for encoding task information. The Gini contrast offers an additional advantage of directly quantifying the task-relevant information in a multi-class setting, rather than reducing the problem to several binary classification sub-problems. In a multi-category visual fMRI study, the proposed method identified informative regions not detected by the univariate criteria, such as the t-test or the F-test. Including these additional regions in the feature set improves the accuracy of multi-category classification. Moreover, we demonstrate higher classification accuracy and stability of the detected spatial patterns across runs than the traditional methods such as the recursive feature elimination used in conjunction with Support Vector Machines.&lt;/div&gt;</summary>
		<author><name>Langs</name></author>
		
	</entry>
	<entry>
		<id>https://www.na-mic.org/w/index.php?title=Projects:GiniContrast&amp;diff=65954</id>
		<title>Projects:GiniContrast</title>
		<link rel="alternate" type="text/html" href="https://www.na-mic.org/w/index.php?title=Projects:GiniContrast&amp;diff=65954"/>
		<updated>2011-03-30T22:04:46Z</updated>

		<summary type="html">&lt;p&gt;Langs: Created page with 'In this work, we study the benefits of Random Forest classifiers and the associated Gini importance measure for selecting voxel subsets that form a multivariate neural response i…'&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;In this work, we study the benefits of Random Forest classifiers and the associated Gini importance measure for selecting voxel subsets that form a multivariate neural response in a fMRI experiment. The Gini importance measure quantifies the predictive power of a particular feature when considered as part of the entire pattern. The measure is based on a random sampling of fMRI time points and voxels. As a consequence the resulting voxel score, or \emph{Gini contrast}, is highly reproducible and reliably includes all informative features. The method does not rely on {\em a priori} assumptions about the signal distribution, a specific statistical or functional model or regularization. Instead it uses the predictive power of features to characterize their relevance for encoding task information. The Gini contrast offers an additional advantage of directly quantifying the task-relevant information in a multi-class setting, rather than reducing the problem to several binary classification sub-problems. In a multi-category visual fMRI study, the proposed method identified informative regions not detected by the univariate criteria, such as the t-test or the F-test. Including these additional regions in the feature set improves the accuracy of multi-category classification. Moreover, we demonstrate higher classification accuracy and stability of the detected spatial patterns across runs than the traditional methods such as the recursive feature elimination used in conjunction with Support Vector Machines.&lt;/div&gt;</summary>
		<author><name>Langs</name></author>
		
	</entry>
	<entry>
		<id>https://www.na-mic.org/w/index.php?title=Algorithm:MIT&amp;diff=65949</id>
		<title>Algorithm:MIT</title>
		<link rel="alternate" type="text/html" href="https://www.na-mic.org/w/index.php?title=Algorithm:MIT&amp;diff=65949"/>
		<updated>2011-03-30T22:01:46Z</updated>

		<summary type="html">&lt;p&gt;Langs: /*  Functional connectivity atlases and tumors */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt; Back to [[Algorithm:Main|NA-MIC Algorithms]]&lt;br /&gt;
__NOTOC__&lt;br /&gt;
= Overview of MIT Algorithms (PI: Polina Golland) =&lt;br /&gt;
&lt;br /&gt;
Our group seeks to model statistical variability of anatomy and function across subjects and between populations and to utilize computational models of such variability to improve predictions for individual subjects, as well as characterize populations. Our long-term goal is to develop methods for joint modeling of anatomy and function and to apply them in clinical and scientific studies. We work primarily with anatomical, DTI and fMRI images. We actively contribute implementations of our algorithms to the NAMIC-kit.&lt;br /&gt;
&lt;br /&gt;
= MIT Projects =&lt;br /&gt;
&lt;br /&gt;
{| cellpadding=&amp;quot;10&amp;quot; style=&amp;quot;text-align:left;&amp;quot;&lt;br /&gt;
|| [[Image:Segmentation_example2.png|250px]]&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
== [[Projects:NerveSegmentation|Segmentation of Nerve and Nerve Ganglia in the Spine]] ==&lt;br /&gt;
Placeholder &lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
&lt;br /&gt;
| | [[Image:TGIt.gif|center| 150px]]&lt;br /&gt;
| |&lt;br /&gt;
&lt;br /&gt;
== [[Projects:ConnectivityAtlas| Functional connectivity atlases and tumors]] ==&lt;br /&gt;
Placeholder&lt;br /&gt;
&lt;br /&gt;
[[Projects:ConnectivityAtlas|More...]]&lt;br /&gt;
&lt;br /&gt;
== [[Projects:GiniContrast| Multi-variate activation detection]] ==&lt;br /&gt;
Placeholder&lt;br /&gt;
&lt;br /&gt;
[[Projects:GiniContrast|More...]]&lt;br /&gt;
&lt;br /&gt;
== [[Projects:NonparametricSegmentation| Nonparametric Models for Supervised Image Segmentation]] ==&lt;br /&gt;
&lt;br /&gt;
We propose a non-parametric, probabilistic model for the automatic segmentation of medical images,&lt;br /&gt;
given a training set of images and corresponding label maps. The resulting inference algorithms we&lt;br /&gt;
develop rely on pairwise registrations between the test image and individual training images. The&lt;br /&gt;
training labels are then transferred to the test image and fused to compute a final segmentation of&lt;br /&gt;
the test subject. [[Projects:NonparametricSegmentation|More...]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt; M.R. Sabuncu, B.T.T Yeo, K. Van Leemput, B. Fischl, and P. Golland. A Generative Model for Image Segmentation Based on Label Fusion.  IEEE Transactions on Medical Imaging, 29(10):1714-1729, 2010. &lt;br /&gt;
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== [[Projects:LatentAtlasSegmentation|Joint Segmentation of Image Ensembles via Latent Atlases]] ==&lt;br /&gt;
&lt;br /&gt;
Spatial priors, such as probabilistic atlases, play an important role in MRI segmentation. The atlases are typically generated by averaging manual labels of aligned brain regions across different subjects. However, the availability of comprehensive, reliable and suitable manual segmentations is limited. We therefore propose a joint segmentation of corresponding, aligned structures in the entire population that does not require a probability atlas. &lt;br /&gt;
[[Projects:LatentAtlasSegmentation|More...]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt;  T. Riklin Raviv, K. Van-Leemput, B.M. Menze, W.M. Wells III, and P. Golland. Joint Segmentation of Image Ensembles via Latent Atlases, Special Issue of Medical Image Analysis (MedIA), 14(5):654-665, 2010. &lt;br /&gt;
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== [[Projects:CardiacAblation | Segmentation and Visualization for Cardiac Ablation Procedures]] ==&lt;br /&gt;
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Catheter radio-frequency (RF) ablation is a technique used to treat atrial fibrillation, a very common heart condition. The objective of this project is to automatically segment the scar created by RF ablation in delayed enhancement MR images acquired after the procedure. This will then provide surgeons with a visualization which will help them to rapidly evaluate the success of the procedure.&lt;br /&gt;
[[Projects:CardiacAblation|More...]]&lt;br /&gt;
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&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt; M. Depa, M.R. Sabuncu, G. Holmvang, R. Nezafat, E.J. Schmidt, and P. Golland. Robust Atlas-Based Segmentation of Highly Variable Anatomy: Left Atrium Segmentation. In Proc. of MICCAI Workshop on Statistical Atlases and Computational Models of the Heart: Mapping Structure and Function, LNCS 6364:85-94, 2010. &lt;br /&gt;
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== [[Projects:TumorModeling|Brain Tumor Segmentation and Modeling]] ==&lt;br /&gt;
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We are interested in developing computational methods for the assimilation of magnetic resonance image data into physiological models of glioma - the most frequent primary brain tumor - for a patient-adaptive modeling of tumor growth. [[Projects:TumorModeling|More...]]&lt;br /&gt;
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&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt; Menze BH, Van Leemput K, Honkela A, Konukoglu E, Weber MA, Ayache N and Golland P. A generative approach for image-based modeling of tumor growth. Proc IPMI 2011. LNCS. 12p&lt;br /&gt;
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{| cellpadding=&amp;quot;10&amp;quot; style=&amp;quot;text-align:left;&amp;quot;&lt;br /&gt;
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== [[Projects:LearningRegistrationCostFunctions| Learning Task-Optimal Registration Cost Functions]] ==&lt;br /&gt;
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We present a framework for learning the parameters of registration cost functions. The parameters of the registration cost function -- for example, the tradeoff between the image similarity and regularization terms -- are typically determined manually through inspection of the image alignment and then fixed for all applications. We propose a principled approach to learn these parameters with respect to particular applications. [[Projects:LearningRegistrationCostFunctions|More...]]&lt;br /&gt;
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&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt; B.T.T. Yeo, M.R. Sabuncu, T. Vercauteren, D. Holt, K. Amunts, K. Zilles, P. Golland, and B. Fischl. Learning Task-Optimal Registration Cost Functions for Localizing Cytoarchitecture and Function in the Cerebral Cortex. IEEE Transactions on Medical Imaging, 29(7):1424-1441, 2010. &lt;br /&gt;
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== [[Projects:SphericalDemons|Spherical Demons: Fast Surface Registration]] ==&lt;br /&gt;
&lt;br /&gt;
We present the fast Spherical Demons algorithm for registering two spherical images. By exploiting spherical vector spline interpolation theory, we show that a large class of regularizers for the modified demons objective function can be efficiently approximated on the sphere using convolution. Based on the one parameter subgroups of diffeomorphisms, [[Projects:SphericalDemons|More...]]&lt;br /&gt;
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&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt; B.T.T. Yeo, M.R. Sabuncu, T. Vercauteren, N. Ayache, B. Fischl and P. Golland. Spherical Demons: Fast Diffeomorphic Landmark-Free Surface Registration. IEEE Transactions on Medical Imaging, 29(3):650-668, 2010.&lt;br /&gt;
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| | [[Image:epi_correction_small.jpg|200px]]&lt;br /&gt;
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== [[Projects:FieldmapFreeDistortionCorrection|Fieldmap-Free EPI Distortion Correction]] ==&lt;br /&gt;
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In this project we aim to improve the EPI distortion correction algorithms. [[Projects:FieldmapFreeDistortionCorrection|More...]]&lt;br /&gt;
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&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt;  Poynton C., Jenkinson M., Wells III W. Atlas-Based Improved Prediction of Magnetic Field Inhomogeneity for Distortion Correction of EPI Data. In Proc. MICCAI: International Conference on Medical Image Computing and Computer Assisted Intervention, LNCS 5761:951-959, 2009.&lt;br /&gt;
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== [[Projects:QuantitativeSusceptibilityMapping| Quantitative Susceptibility Mapping ]] ==&lt;br /&gt;
&lt;br /&gt;
There is increasing evidence that excessive iron deposition in specific regions&lt;br /&gt;
of the brain is associated with neurodegenerative disorders such as Alzheimer's&lt;br /&gt;
and Parkinson's disease. The role of iron in the pathogenesis of these diseases&lt;br /&gt;
remains unknown and is difficult to determine without a non-invasive method&lt;br /&gt;
to quantify its concentration in-vivo. Since iron is a ferromagnetic substance,&lt;br /&gt;
changes in iron concentration result in local changes in the magnetic susceptibility of tissue. &lt;br /&gt;
In magnetic resonance imaging (MRI) experiments, differences&lt;br /&gt;
in magnetic susceptibility cause perturbations in the local magnetic field, which&lt;br /&gt;
can be computed from the phase of the MR signal.[[Projects:QuantitativeSusceptibilityMapping|More...]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt;  Poynton C., Wells W. A Variational Approach to Susceptibility Estimation that is insensitive to B0 Inhomogeneity. In Proc. ISMRM: Int. Soc. of Magnetic Resonance in Medicine, 2011 (in press).&lt;br /&gt;
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== [[Projects:fMRIClustering|Improving fMRI Analysis using Supervised and Unsupervised Learning]] ==&lt;br /&gt;
&lt;br /&gt;
One of the major goals in the analysis of fMRI data is the detection of networks in the brain with similar functional behavior. A wide variety of methods including hypothesis-driven statistical tests, supervised, and unsupervised learning methods have been employed to find these networks. In this project, we develop novel learning algorithms that enable more efficient inferences from fMRI measurements.    [[Projects:fMRIClustering|More...]] &lt;br /&gt;
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&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt; G. Langs, Y. Tie, L. Rigolo, A.J. Golby, and P. Golland. Functional Geometry Alignment for Localization of Brain Areas. To appear in Proc. NIPS: Neural Information Processing Systems, 2010. &lt;br /&gt;
&lt;br /&gt;
&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt; A. Venkataraman, Y. Rathi, M. Kubicki, C-F. Westin and P. Golland.  Joint Generative Model for fMRI/DWI and its Application to Population Studies.  In Proc. MICCAI: International Conference on Medical Image Computing and Computer Assisted Intervention, LNCS 6361:191-199, 2010. &lt;br /&gt;
&lt;br /&gt;
&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt; D. Lashkari, E. Vul, N.G. Kanwisher, and P. Golland. Discovering structure in the space of fMRI selectivity profiles. NeuroImage, 3(15):1085-1098, 2010.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt; A. Venkataraman, M. Kubicki, C.-F. Westin, and P. Golland. Robust Feature Selection in Resting-State fMRI Connectivity Based on Population Studies. In Proc. MMBIA: IEEE Computer Society Workshop on Mathematical Methods in Biomedical Image Analysis, 2010.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt; D. Lashkari, R. Sridharan, E. Vul, P.-J. Hsieh, N. Kanwisher, and P. Golland. Nonparametric Hierarchical Bayesian Model for Functional Brain Parcellation. In Proc. MMBIA: IEEE Computer Society Workshop on Mathematical Methods in Biomedical Image Analysis, 2010.&lt;br /&gt;
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{| cellpadding=&amp;quot;10&amp;quot; style=&amp;quot;text-align:left;&amp;quot; &lt;br /&gt;
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== [[Projects:BayesianMRSegmentation| Bayesian Segmentation of MRI Images]] ==&lt;br /&gt;
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The aim of this project is to develop, implement, and validate a generic method for segmenting MRI images that automatically adapts to different acquisition sequences. [[Projects:BayesianMRSegmentation|More...]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt; K. Van Leemput, A. Bakkour, T. Benner, G. Wiggins, L.L. Wald, J. Augustinack, B.C. Dickerson, P. Golland, and B. Fischl. Automated Segmentation of Hippocampal Subfields from Ultra-High Resolution In Vivo MRI. Hippocampus, 19:549-557, 2009. &lt;br /&gt;
&lt;br /&gt;
&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt; K. Van Leemput. Encoding Probabilistic Atlases Using Bayesian Inference. IEEE Transactions on Medical Imaging, 28(6):822-837, 2009.&lt;br /&gt;
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== [[Projects:MultimodalAtlas|Multimodal Atlas]] ==&lt;br /&gt;
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In this work, we propose and investigate an algorithm that jointly co-registers a collection of images while computing multiple templates. The algorithm, called '''iCluster''', is used to compute multiple atlases for a given population.&lt;br /&gt;
[[Projects:MultimodalAtlas|More...]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt; Image-driven Population Analysis through Mixture-Modeling, M.R. Sabuncu, S.K. Balci, M.E. Shenton and P. Golland. IEEE Transactions on Medical Imaging, 28(9):1473 - 1487, 2009.&lt;br /&gt;
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| | [[Image:GroupwiseSummary.PNG|200px]]&lt;br /&gt;
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== [[Projects:GroupwiseRegistration|Groupwise Registration]] ==&lt;br /&gt;
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We extend a previously demonstrated entropy based groupwise registration method to include a free-form deformation model based on B-splines. We provide an efficient implementation using stochastic gradient descents in a multi-resolution setting. We demonstrate the method in application to a set of 50 MRI brain scans and compare the results to a pairwise approach using segmentation labels to evaluate the quality of alignment.&lt;br /&gt;
&lt;br /&gt;
In a related project,  we develop a method that reconciles the practical advantages of symmetric registration with the asymmetric nature of image-template registration by adding a simple correction factor to the symmetric cost function. We instantiate our model within a log-domain diffeomorphic registration framework. Our experiments show exploiting the asymmetry in image-template registration improves alignment in the image coordinates. [[Projects:GroupwiseRegistration|More...]]&lt;br /&gt;
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&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt;  Asymmetric Image-Template Registration, M.R. Sabuncu, B.T. Thomas Yeo, T. Vercauteren, K. Van Leemput, P. Golland. In Proc. MICCAI: International Conference on Medical Image Computing and Computer Assisted Intervention, LNCS 5761:565-573, 2009.&lt;br /&gt;
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| | [[Image:JointRegSeg.png|200px]]&lt;br /&gt;
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== [[Projects:RegistrationRegularization|Optimal Atlas Regularization in Image Segmentation]] ==&lt;br /&gt;
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We propose a unified framework for computing atlases from manually labeled data sets at various degrees of “sharpness” and the joint registration and segmentation of a new brain with these atlases. Using this framework, we investigate the tradeoff between warp regularization and image ﬁdelity, i.e. the smoothness of the new subject warp and the sharpness of the atlas in a segmentation application.&lt;br /&gt;
[[Projects:RegistrationRegularization|More...]]&lt;br /&gt;
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| | [[Image:FoldingSpeedDetection.png|150px|]]&lt;br /&gt;
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== [[Projects:ShapeAnalysisWithOvercompleteWavelets|Shape Analysis With Overcomplete Wavelets]] ==&lt;br /&gt;
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In this work, we extend the Euclidean wavelets to the sphere. The resulting over-complete spherical wavelets are invariant to the rotation of the spherical image parameterization. We apply the over-complete spherical wavelet to cortical folding development [[Projects:ShapeAnalysisWithOvercompleteWavelets|More...]]&lt;br /&gt;
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== [[Projects:DTIModeling|Fiber Tract Modeling, Clustering, and Quantitative Analysis]] ==&lt;br /&gt;
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The goal of this work is to model the shape of the fiber bundles and use this model description in clustering and statistical analysis of fiber tracts. [[Projects:DTIModeling|More...]]&lt;br /&gt;
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| | [[Image:Progress_Registration_Segmentation_Shape.jpg|180px]]&lt;br /&gt;
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== [[Projects:ShapeBasedSegmentationAndRegistration|Shape Based Segmentation and Registration]] ==&lt;br /&gt;
&lt;br /&gt;
This type of algorithm assigns a tissue type to each voxel in the volume. Incorporating prior shape information biases the label assignment towards contiguous regions that are consistent with the shape model. [[Projects:ShapeBasedSegmentationAndRegistration|More...]]&lt;br /&gt;
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| | [[Image:MIT_DTI_JointSegReg_atlas3D.jpg|200px]]&lt;br /&gt;
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== [[Projects:DTIFiberRegistration|Joint Registration and Segmentation of DWI Fiber Tractography]] ==&lt;br /&gt;
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The goal of this work is to jointly register and cluster DWI fiber tracts obtained from a group of subjects. [[Projects:DTIFiberRegistration|More...]]&lt;br /&gt;
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== [[Projects:DTIClustering|DTI Fiber Clustering and Fiber-Based Analysis]] ==&lt;br /&gt;
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The goal of this project is to provide structural description of the white matter architecture as a partition into coherent fiber bundles and clusters, and to use these bundles for quantitative measurement. [[Projects:DTIClustering|More...]]&lt;br /&gt;
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== [[Projects:fMRIDetection|fMRI Detection and Analysis]] ==&lt;br /&gt;
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We are exploring algorithms for improved fMRI detection and interpretation by incorporting spatial priors and anatomical information to guide the detection. [[Projects:fMRIDetection|More...]]&lt;br /&gt;
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&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt; W. Ou, W.M. Wells III, and P. Golland. Combining Spatial Priors and Anatomical Information for fMRI Detection. Medical Image Analysis, 14(3):318-331, 2010.&lt;br /&gt;
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== [[Projects:DTISegmentation|DTI-based Segmentation]] ==&lt;br /&gt;
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Unlike conventional MRI, DTI provides adequate contrast to segment the thalamic nuclei, which are gray matter structures. [[Projects:DTISegmentation|More...]]&lt;br /&gt;
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== [[Projects:DTIStochasticTractography|Stochastic Tractography]] ==&lt;br /&gt;
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This work calculates posterior distributions of white matter fiber tract parameters given diffusion observations in a DWI volume.  [[Projects:DTIStochasticTractography|More...]]&lt;br /&gt;
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== [[Projects:ShapeAnalysis|Population Analysis of Anatomical Variability]] ==&lt;br /&gt;
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Our goal is to develop mathematical approaches to modeling anatomical variability within and across populations using tools like local shape descriptors of specific regions of interest and global constellation descriptors of multiple ROI's. [[Projects:ShapeAnalysis|More...]]&lt;br /&gt;
&lt;br /&gt;
|}&lt;/div&gt;</summary>
		<author><name>Langs</name></author>
		
	</entry>
	<entry>
		<id>https://www.na-mic.org/w/index.php?title=Projects:ConnectivityAtlas&amp;diff=65936</id>
		<title>Projects:ConnectivityAtlas</title>
		<link rel="alternate" type="text/html" href="https://www.na-mic.org/w/index.php?title=Projects:ConnectivityAtlas&amp;diff=65936"/>
		<updated>2011-03-30T21:53:14Z</updated>

		<summary type="html">&lt;p&gt;Langs: /* Experiments */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt; Back to [[NA-MIC_Internal_Collaborations:StructuralImageAnalysis|NA-MIC Collaborations]], [[Algorithm:MIT|MIT Algorithms]],&lt;br /&gt;
__NOTOC__&lt;br /&gt;
= Building an atlas of functional connectivity patterns =&lt;br /&gt;
&lt;br /&gt;
We construct an atlas that captures functional connectivity characteristics of a cognitive process from a population of individuals. The functional connectivity is encoded in a low-dimensional embedding space derived from a diffusion process on a graph that represents correlations of fMRI time courses. The atlas is represented by a common prior distribution for the embedded fMRI signals of all subjects. The atlas is not directly coupled to the anatomical space, and can represent functional networks that are variable in their spatial distribution. We derive an algorithm for fitting this generative model to the observed data in a population. Our results in a language fMRI study demonstrate that the method identifies coherent and functionally equivalent regions across subjects.&lt;br /&gt;
&lt;br /&gt;
= Description =&lt;br /&gt;
&lt;br /&gt;
We propose a different approach to characterize functional networks in a population of individuals. We do not assume a tight coupling between anatomical location and function, but view functional signals as the basis of a descriptive map that represents the global connectivity pattern during a specific cognitive process. We develop a representation of those networks based on manifold learning techniques and show how we can learn an \emph{atlas} from a population of subjects performing the same task. Our main assumption is that the connectivity pattern associated with a functional process is consistent across individuals. Accordingly, we construct a generative model (the atlas) for these connectivity patterns that describes the common structures within the population. &lt;br /&gt;
&lt;br /&gt;
The clinical goal of this work is to provide additional evidence for localization of functional areas. A robust localization approach is important for neurosurgical planning if individual activations are weak or reorganization has happened due to pathologies such as tumor growth. Furthermore the method provides a basis for understanding the mechanisms underlying formation and reorganization in the cerebral system.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:ModelScheme_revision_2.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
== Experiments ==&lt;br /&gt;
&lt;br /&gt;
We demonstrate the method on a set of six healthy control subjects. The language task (antonym generation) block design was 5min 10s long, starting with a 10s pre-stimulus period. Eight task and seven rest blocks, 20s each, alternated in the design. For each subject, an anatomical T1 MRI scan was acquired  and registered to the functional data. Grey matter was segmented with FSL on the T1 data. The grey matter labels were transferred to the co-registered fMRI volumes, and computation was restricted to grey matter.&lt;br /&gt;
&lt;br /&gt;
We first apply clustering to signals from individual subjects separately to find subject-specific cluster assignments. We then apply clustering to signals combined from ''all'' subjects to construct the corresponding group-wise cluster assignments. Likewise, we cluster the diffusion map coordinates separately in each subject to obtain subject-specific assignments. We cluster the diffusion map coordinates of all subjects aligned to the first subject linearly, and the joint atlas.&lt;br /&gt;
&lt;br /&gt;
[[File:SurfaceFigure_revision.png]]&lt;br /&gt;
&lt;br /&gt;
'''''Fig.2''' A comparison of the top ranked cluster when clustering in the signal space (left), and the joint atlas (right). For each clustering, we show the population level clustering on the left, and the individual clustering on the right. Below the average fMRI signal of the top ranked cluster is plotted. It is dominated by the language paradigm.''&lt;br /&gt;
&lt;br /&gt;
== Conclusion ==&lt;br /&gt;
&lt;br /&gt;
We learn an atlas of the functional connectivity structure that emerges during a cognitive process from a group of individuals. The atlas is a group-wise generative model that describes the fMRI responses of all subjects in the embedding space. The embedding space is a low dimensional representation of fMRI time courses that encodes the functional connectivity patterns within each subject. Future work will focus on the application of the framework to the study of reorganization processes.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
== Literature ==&lt;br /&gt;
[1] Georg Langs, Yanmei Tie, Laura Rigolo, Alexandra Golby, Polina Golland. Functional Geometry Alignment and Localization of Brain Areas. in Adv. in Neural Information Processing Systems NIPS 2010&lt;br /&gt;
&lt;br /&gt;
[2] Georg Langs, Andrew Sweet, Danial Lashkari, Yanmei Tie, Laura Rigolo, Alexandra Golby, Polina Golland. Learning an Atlas of a Cognitive Process in its Functional Geometry. in Proc. of IPMI 2011&lt;br /&gt;
&lt;br /&gt;
= Key Investigators =&lt;br /&gt;
&lt;br /&gt;
*MIT: Georg Langs, Andy Sweet, Danial Lashkari, Polina Golland&lt;br /&gt;
*Harvard: Yanmei Tie, Laura Rigolo, Alexandra Golby&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
= Publications =&lt;br /&gt;
&lt;br /&gt;
[http://www.na-mic.org/publications/pages/display?search=Projects%3ANonparametricSegmentation&amp;amp;submit=Search&amp;amp;words=all&amp;amp;title=checked&amp;amp;keywords=checked&amp;amp;authors=checked&amp;amp;abstract=checked&amp;amp;sponsors=checked&amp;amp;searchbytag=checked| NA-MIC Publications Database on Nonparametric Models for Supervised Image Segmentation]&lt;/div&gt;</summary>
		<author><name>Langs</name></author>
		
	</entry>
	<entry>
		<id>https://www.na-mic.org/w/index.php?title=Projects:ConnectivityAtlas&amp;diff=65932</id>
		<title>Projects:ConnectivityAtlas</title>
		<link rel="alternate" type="text/html" href="https://www.na-mic.org/w/index.php?title=Projects:ConnectivityAtlas&amp;diff=65932"/>
		<updated>2011-03-30T21:50:28Z</updated>

		<summary type="html">&lt;p&gt;Langs: /* Experiments */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt; Back to [[NA-MIC_Internal_Collaborations:StructuralImageAnalysis|NA-MIC Collaborations]], [[Algorithm:MIT|MIT Algorithms]],&lt;br /&gt;
__NOTOC__&lt;br /&gt;
= Building an atlas of functional connectivity patterns =&lt;br /&gt;
&lt;br /&gt;
We construct an atlas that captures functional connectivity characteristics of a cognitive process from a population of individuals. The functional connectivity is encoded in a low-dimensional embedding space derived from a diffusion process on a graph that represents correlations of fMRI time courses. The atlas is represented by a common prior distribution for the embedded fMRI signals of all subjects. The atlas is not directly coupled to the anatomical space, and can represent functional networks that are variable in their spatial distribution. We derive an algorithm for fitting this generative model to the observed data in a population. Our results in a language fMRI study demonstrate that the method identifies coherent and functionally equivalent regions across subjects.&lt;br /&gt;
&lt;br /&gt;
= Description =&lt;br /&gt;
&lt;br /&gt;
We propose a different approach to characterize functional networks in a population of individuals. We do not assume a tight coupling between anatomical location and function, but view functional signals as the basis of a descriptive map that represents the global connectivity pattern during a specific cognitive process. We develop a representation of those networks based on manifold learning techniques and show how we can learn an \emph{atlas} from a population of subjects performing the same task. Our main assumption is that the connectivity pattern associated with a functional process is consistent across individuals. Accordingly, we construct a generative model (the atlas) for these connectivity patterns that describes the common structures within the population. &lt;br /&gt;
&lt;br /&gt;
The clinical goal of this work is to provide additional evidence for localization of functional areas. A robust localization approach is important for neurosurgical planning if individual activations are weak or reorganization has happened due to pathologies such as tumor growth. Furthermore the method provides a basis for understanding the mechanisms underlying formation and reorganization in the cerebral system.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:ModelScheme_revision_2.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
== Experiments ==&lt;br /&gt;
&lt;br /&gt;
We demonstrate the method on a set of six healthy control subjects. The language task (antonym generation) block design was 5min 10s long, starting with a 10s pre-stimulus period. Eight task and seven rest blocks, 20s each, alternated in the design. For each subject, an anatomical T1 MRI scan was acquired  and registered to the functional data. Grey matter was segmented with FSL on the T1 data. The grey matter labels were transferred to the co-registered fMRI volumes, and computation was restricted to grey matter.&lt;br /&gt;
&lt;br /&gt;
We first apply clustering to signals from individual subjects separately to find subject-specific cluster assignments. We then apply clustering to signals combined from ''all'' subjects to construct the corresponding group-wise cluster assignments. Likewise, we cluster the diffusion map coordinates separately in each subject to obtain subject-specific assignments. We cluster the diffusion map coordinates of all subjects aligned to the first subject linearly, and the joint atlas.&lt;br /&gt;
&lt;br /&gt;
[[File:SurfaceFigure_revision.png]]&lt;br /&gt;
&lt;br /&gt;
'''''Fig.2''' Caption 2''&lt;br /&gt;
&lt;br /&gt;
== Conclusion ==&lt;br /&gt;
&lt;br /&gt;
We learn an atlas of the functional connectivity structure that emerges during a cognitive process from a group of individuals. The atlas is a group-wise generative model that describes the fMRI responses of all subjects in the embedding space. The embedding space is a low dimensional representation of fMRI time courses that encodes the functional connectivity patterns within each subject. Future work will focus on the application of the framework to the study of reorganization processes.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
== Literature ==&lt;br /&gt;
[1] Georg Langs, Yanmei Tie, Laura Rigolo, Alexandra Golby, Polina Golland. Functional Geometry Alignment and Localization of Brain Areas. in Adv. in Neural Information Processing Systems NIPS 2010&lt;br /&gt;
&lt;br /&gt;
[2] Georg Langs, Andrew Sweet, Danial Lashkari, Yanmei Tie, Laura Rigolo, Alexandra Golby, Polina Golland. Learning an Atlas of a Cognitive Process in its Functional Geometry. in Proc. of IPMI 2011&lt;br /&gt;
&lt;br /&gt;
= Key Investigators =&lt;br /&gt;
&lt;br /&gt;
*MIT: Georg Langs, Andy Sweet, Danial Lashkari, Polina Golland&lt;br /&gt;
*Harvard: Yanmei Tie, Laura Rigolo, Alexandra Golby&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
= Publications =&lt;br /&gt;
&lt;br /&gt;
[http://www.na-mic.org/publications/pages/display?search=Projects%3ANonparametricSegmentation&amp;amp;submit=Search&amp;amp;words=all&amp;amp;title=checked&amp;amp;keywords=checked&amp;amp;authors=checked&amp;amp;abstract=checked&amp;amp;sponsors=checked&amp;amp;searchbytag=checked| NA-MIC Publications Database on Nonparametric Models for Supervised Image Segmentation]&lt;/div&gt;</summary>
		<author><name>Langs</name></author>
		
	</entry>
	<entry>
		<id>https://www.na-mic.org/w/index.php?title=Projects:ConnectivityAtlas&amp;diff=65931</id>
		<title>Projects:ConnectivityAtlas</title>
		<link rel="alternate" type="text/html" href="https://www.na-mic.org/w/index.php?title=Projects:ConnectivityAtlas&amp;diff=65931"/>
		<updated>2011-03-30T21:50:12Z</updated>

		<summary type="html">&lt;p&gt;Langs: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt; Back to [[NA-MIC_Internal_Collaborations:StructuralImageAnalysis|NA-MIC Collaborations]], [[Algorithm:MIT|MIT Algorithms]],&lt;br /&gt;
__NOTOC__&lt;br /&gt;
= Building an atlas of functional connectivity patterns =&lt;br /&gt;
&lt;br /&gt;
We construct an atlas that captures functional connectivity characteristics of a cognitive process from a population of individuals. The functional connectivity is encoded in a low-dimensional embedding space derived from a diffusion process on a graph that represents correlations of fMRI time courses. The atlas is represented by a common prior distribution for the embedded fMRI signals of all subjects. The atlas is not directly coupled to the anatomical space, and can represent functional networks that are variable in their spatial distribution. We derive an algorithm for fitting this generative model to the observed data in a population. Our results in a language fMRI study demonstrate that the method identifies coherent and functionally equivalent regions across subjects.&lt;br /&gt;
&lt;br /&gt;
= Description =&lt;br /&gt;
&lt;br /&gt;
We propose a different approach to characterize functional networks in a population of individuals. We do not assume a tight coupling between anatomical location and function, but view functional signals as the basis of a descriptive map that represents the global connectivity pattern during a specific cognitive process. We develop a representation of those networks based on manifold learning techniques and show how we can learn an \emph{atlas} from a population of subjects performing the same task. Our main assumption is that the connectivity pattern associated with a functional process is consistent across individuals. Accordingly, we construct a generative model (the atlas) for these connectivity patterns that describes the common structures within the population. &lt;br /&gt;
&lt;br /&gt;
The clinical goal of this work is to provide additional evidence for localization of functional areas. A robust localization approach is important for neurosurgical planning if individual activations are weak or reorganization has happened due to pathologies such as tumor growth. Furthermore the method provides a basis for understanding the mechanisms underlying formation and reorganization in the cerebral system.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:ModelScheme_revision_2.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
== Experiments ==&lt;br /&gt;
&lt;br /&gt;
We demonstrate the method on a set of six healthy control subjects. The language task (antonym generation) block design was 5min 10s long, starting with a 10s pre-stimulus period. Eight task and seven rest blocks, 20s each, alternated in the design. For each subject, an anatomical T1 MRI scan was acquired  and registered to the functional data. Grey matter was segmented with FSL on the T1 data. The grey matter labels were transferred to the co-registered fMRI volumes, and computation was restricted to grey matter.&lt;br /&gt;
&lt;br /&gt;
We first apply clustering to signals from individual subjects separately to find subject-specific cluster assignments. We then apply clustering to signals combined from ''all'' subjects to construct the corresponding group-wise cluster assignments. Likewise, we cluster the diffusion map coordinates separately in each subject to obtain subject-specific assignments. We cluster the diffusion map coordinates of all subjects aligned to the first subject linearly, and the joint atlas.&lt;br /&gt;
&lt;br /&gt;
[[File:SurfaceFigure_revision.png]]&lt;br /&gt;
'''''Fig.2''' Caption 2''&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
== Conclusion ==&lt;br /&gt;
&lt;br /&gt;
We learn an atlas of the functional connectivity structure that emerges during a cognitive process from a group of individuals. The atlas is a group-wise generative model that describes the fMRI responses of all subjects in the embedding space. The embedding space is a low dimensional representation of fMRI time courses that encodes the functional connectivity patterns within each subject. Future work will focus on the application of the framework to the study of reorganization processes.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
== Literature ==&lt;br /&gt;
[1] Georg Langs, Yanmei Tie, Laura Rigolo, Alexandra Golby, Polina Golland. Functional Geometry Alignment and Localization of Brain Areas. in Adv. in Neural Information Processing Systems NIPS 2010&lt;br /&gt;
&lt;br /&gt;
[2] Georg Langs, Andrew Sweet, Danial Lashkari, Yanmei Tie, Laura Rigolo, Alexandra Golby, Polina Golland. Learning an Atlas of a Cognitive Process in its Functional Geometry. in Proc. of IPMI 2011&lt;br /&gt;
&lt;br /&gt;
= Key Investigators =&lt;br /&gt;
&lt;br /&gt;
*MIT: Georg Langs, Andy Sweet, Danial Lashkari, Polina Golland&lt;br /&gt;
*Harvard: Yanmei Tie, Laura Rigolo, Alexandra Golby&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
= Publications =&lt;br /&gt;
&lt;br /&gt;
[http://www.na-mic.org/publications/pages/display?search=Projects%3ANonparametricSegmentation&amp;amp;submit=Search&amp;amp;words=all&amp;amp;title=checked&amp;amp;keywords=checked&amp;amp;authors=checked&amp;amp;abstract=checked&amp;amp;sponsors=checked&amp;amp;searchbytag=checked| NA-MIC Publications Database on Nonparametric Models for Supervised Image Segmentation]&lt;/div&gt;</summary>
		<author><name>Langs</name></author>
		
	</entry>
	<entry>
		<id>https://www.na-mic.org/w/index.php?title=Projects:ConnectivityAtlas&amp;diff=65930</id>
		<title>Projects:ConnectivityAtlas</title>
		<link rel="alternate" type="text/html" href="https://www.na-mic.org/w/index.php?title=Projects:ConnectivityAtlas&amp;diff=65930"/>
		<updated>2011-03-30T21:49:33Z</updated>

		<summary type="html">&lt;p&gt;Langs: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt; Back to [[NA-MIC_Internal_Collaborations:StructuralImageAnalysis|NA-MIC Collaborations]], [[Algorithm:MIT|MIT Algorithms]],&lt;br /&gt;
__NOTOC__&lt;br /&gt;
= Building an atlas of functional connectivity patterns =&lt;br /&gt;
&lt;br /&gt;
We construct an atlas that captures functional connectivity characteristics of a cognitive process from a population of individuals. The functional connectivity is encoded in a low-dimensional embedding space derived from a diffusion process on a graph that represents correlations of fMRI time courses. The atlas is represented by a common prior distribution for the embedded fMRI signals of all subjects. The atlas is not directly coupled to the anatomical space, and can represent functional networks that are variable in their spatial distribution. We derive an algorithm for fitting this generative model to the observed data in a population. Our results in a language fMRI study demonstrate that the method identifies coherent and functionally equivalent regions across subjects.&lt;br /&gt;
&lt;br /&gt;
= Description =&lt;br /&gt;
&lt;br /&gt;
We propose a different approach to characterize functional networks in a population of individuals. We do not assume a tight coupling between anatomical location and function, but view functional signals as the basis of a descriptive map that represents the global connectivity pattern during a specific cognitive process. We develop a representation of those networks based on manifold learning techniques and show how we can learn an \emph{atlas} from a population of subjects performing the same task. Our main assumption is that the connectivity pattern associated with a functional process is consistent across individuals. Accordingly, we construct a generative model (the atlas) for these connectivity patterns that describes the common structures within the population. &lt;br /&gt;
&lt;br /&gt;
The clinical goal of this work is to provide additional evidence for localization of functional areas. A robust localization approach is important for neurosurgical planning if individual activations are weak or reorganization has happened due to pathologies such as tumor growth. Furthermore the method provides a basis for understanding the mechanisms underlying formation and reorganization in the cerebral system.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:ModelScheme_revision_2.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
== Experiments ==&lt;br /&gt;
&lt;br /&gt;
We demonstrate the method on a set of six healthy control subjects. The language task (antonym generation) block design was 5min 10s long, starting with a 10s pre-stimulus period. Eight task and seven rest blocks, 20s each, alternated in the design. For each subject, an anatomical T1 MRI scan was acquired  and registered to the functional data. Grey matter was segmented with FSL on the T1 data. The grey matter labels were transferred to the co-registered fMRI volumes, and computation was restricted to grey matter.&lt;br /&gt;
&lt;br /&gt;
We first apply clustering to signals from individual subjects separately to find subject-specific cluster assignments. We then apply clustering to signals combined from ''all'' subjects to construct the corresponding group-wise cluster assignments. Likewise, we cluster the diffusion map coordinates separately in each subject to obtain subject-specific assignments. We cluster the diffusion map coordinates of all subjects aligned to the first subject linearly, and the joint atlas.&lt;br /&gt;
&lt;br /&gt;
[[File:SurfaceFigure_revision.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
== Conclusion ==&lt;br /&gt;
&lt;br /&gt;
We learn an atlas of the functional connectivity structure that emerges during a cognitive process from a group of individuals. The atlas is a group-wise generative model that describes the fMRI responses of all subjects in the embedding space. The embedding space is a low dimensional representation of fMRI time courses that encodes the functional connectivity patterns within each subject. Future work will focus on the application of the framework to the study of reorganization processes.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
== Literature ==&lt;br /&gt;
[1] Georg Langs, Yanmei Tie, Laura Rigolo, Alexandra Golby, Polina Golland. Functional Geometry Alignment and Localization of Brain Areas. in Adv. in Neural Information Processing Systems NIPS 2010&lt;br /&gt;
&lt;br /&gt;
[2] Georg Langs, Andrew Sweet, Danial Lashkari, Yanmei Tie, Laura Rigolo, Alexandra Golby, Polina Golland. Learning an Atlas of a Cognitive Process in its Functional Geometry. in Proc. of IPMI 2011&lt;br /&gt;
&lt;br /&gt;
= Key Investigators =&lt;br /&gt;
&lt;br /&gt;
*MIT: Georg Langs, Andy Sweet, Danial Lashkari, Polina Golland&lt;br /&gt;
*Harvard: Yanmei Tie, Laura Rigolo, Alexandra Golby&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
= Publications =&lt;br /&gt;
&lt;br /&gt;
[http://www.na-mic.org/publications/pages/display?search=Projects%3ANonparametricSegmentation&amp;amp;submit=Search&amp;amp;words=all&amp;amp;title=checked&amp;amp;keywords=checked&amp;amp;authors=checked&amp;amp;abstract=checked&amp;amp;sponsors=checked&amp;amp;searchbytag=checked| NA-MIC Publications Database on Nonparametric Models for Supervised Image Segmentation]&lt;/div&gt;</summary>
		<author><name>Langs</name></author>
		
	</entry>
	<entry>
		<id>https://www.na-mic.org/w/index.php?title=File:SurfaceFigure_revision.png&amp;diff=65929</id>
		<title>File:SurfaceFigure revision.png</title>
		<link rel="alternate" type="text/html" href="https://www.na-mic.org/w/index.php?title=File:SurfaceFigure_revision.png&amp;diff=65929"/>
		<updated>2011-03-30T21:49:11Z</updated>

		<summary type="html">&lt;p&gt;Langs: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Langs</name></author>
		
	</entry>
	<entry>
		<id>https://www.na-mic.org/w/index.php?title=Projects:ConnectivityAtlas&amp;diff=65927</id>
		<title>Projects:ConnectivityAtlas</title>
		<link rel="alternate" type="text/html" href="https://www.na-mic.org/w/index.php?title=Projects:ConnectivityAtlas&amp;diff=65927"/>
		<updated>2011-03-30T21:47:36Z</updated>

		<summary type="html">&lt;p&gt;Langs: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt; Back to [[NA-MIC_Internal_Collaborations:StructuralImageAnalysis|NA-MIC Collaborations]], [[Algorithm:MIT|MIT Algorithms]],&lt;br /&gt;
__NOTOC__&lt;br /&gt;
= Building an atlas of functional connectivity patterns =&lt;br /&gt;
&lt;br /&gt;
We construct an atlas that captures functional connectivity characteristics of a cognitive process from a population of individuals. The functional connectivity is encoded in a low-dimensional embedding space derived from a diffusion process on a graph that represents correlations of fMRI time courses. The atlas is represented by a common prior distribution for the embedded fMRI signals of all subjects. The atlas is not directly coupled to the anatomical space, and can represent functional networks that are variable in their spatial distribution. We derive an algorithm for fitting this generative model to the observed data in a population. Our results in a language fMRI study demonstrate that the method identifies coherent and functionally equivalent regions across subjects.&lt;br /&gt;
&lt;br /&gt;
= Description =&lt;br /&gt;
&lt;br /&gt;
We propose a different approach to characterize functional networks in a population of individuals. We do not assume a tight coupling between anatomical location and function, but view functional signals as the basis of a descriptive map that represents the global connectivity pattern during a specific cognitive process. We develop a representation of those networks based on manifold learning techniques and show how we can learn an \emph{atlas} from a population of subjects performing the same task. Our main assumption is that the connectivity pattern associated with a functional process is consistent across individuals. Accordingly, we construct a generative model (the atlas) for these connectivity patterns that describes the common structures within the population. &lt;br /&gt;
&lt;br /&gt;
The clinical goal of this work is to provide additional evidence for localization of functional areas. A robust localization approach is important for neurosurgical planning if individual activations are weak or reorganization has happened due to pathologies such as tumor growth. Furthermore the method provides a basis for understanding the mechanisms underlying formation and reorganization in the cerebral system.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:ModelScheme_revision_2.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
== Experiments ==&lt;br /&gt;
&lt;br /&gt;
We demonstrate the method on a set of six healthy control subjects. The language task (antonym generation) block design was 5min 10s long, starting with a 10s pre-stimulus period. Eight task and seven rest blocks, 20s each, alternated in the design. For each subject, an anatomical T1 MRI scan was acquired  and registered to the functional data. Grey matter was segmented with FSL on the T1 data. The grey matter labels were transferred to the co-registered fMRI volumes, and computation was restricted to grey matter.&lt;br /&gt;
&lt;br /&gt;
We first apply clustering to signals from individual subjects separately to find subject-specific cluster assignments. We then apply clustering to signals combined from ''all'' subjects to construct the corresponding group-wise cluster assignments. Likewise, we cluster the diffusion map coordinates separately in each subject to obtain subject-specific assignments. We cluster the diffusion map coordinates of all subjects aligned to the first subject linearly, and the joint atlas.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
== Conclusion ==&lt;br /&gt;
&lt;br /&gt;
We learn an atlas of the functional connectivity structure that emerges during a cognitive process from a group of individuals. The atlas is a group-wise generative model that describes the fMRI responses of all subjects in the embedding space. The embedding space is a low dimensional representation of fMRI time courses that encodes the functional connectivity patterns within each subject. Future work will focus on the application of the framework to the study of reorganization processes.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
== Literature ==&lt;br /&gt;
[1] Georg Langs, Yanmei Tie, Laura Rigolo, Alexandra Golby, Polina Golland. Functional Geometry Alignment and Localization of Brain Areas. in Adv. in Neural Information Processing Systems NIPS 2010&lt;br /&gt;
&lt;br /&gt;
[2] Georg Langs, Andrew Sweet, Danial Lashkari, Yanmei Tie, Laura Rigolo, Alexandra Golby, Polina Golland. Learning an Atlas of a Cognitive Process in its Functional Geometry. in Proc. of IPMI 2011&lt;br /&gt;
&lt;br /&gt;
= Key Investigators =&lt;br /&gt;
&lt;br /&gt;
*MIT: Georg Langs, Andy Sweet, Danial Lashkari, Polina Golland&lt;br /&gt;
*Harvard: Yanmei Tie, Laura Rigolo, Alexandra Golby&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
= Publications =&lt;br /&gt;
&lt;br /&gt;
[http://www.na-mic.org/publications/pages/display?search=Projects%3ANonparametricSegmentation&amp;amp;submit=Search&amp;amp;words=all&amp;amp;title=checked&amp;amp;keywords=checked&amp;amp;authors=checked&amp;amp;abstract=checked&amp;amp;sponsors=checked&amp;amp;searchbytag=checked| NA-MIC Publications Database on Nonparametric Models for Supervised Image Segmentation]&lt;/div&gt;</summary>
		<author><name>Langs</name></author>
		
	</entry>
	<entry>
		<id>https://www.na-mic.org/w/index.php?title=Projects:ConnectivityAtlas&amp;diff=65923</id>
		<title>Projects:ConnectivityAtlas</title>
		<link rel="alternate" type="text/html" href="https://www.na-mic.org/w/index.php?title=Projects:ConnectivityAtlas&amp;diff=65923"/>
		<updated>2011-03-30T21:44:42Z</updated>

		<summary type="html">&lt;p&gt;Langs: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt; Back to [[NA-MIC_Internal_Collaborations:StructuralImageAnalysis|NA-MIC Collaborations]], [[Algorithm:MIT|MIT Algorithms]],&lt;br /&gt;
__NOTOC__&lt;br /&gt;
= Building an atlas of functional connectivity patterns =&lt;br /&gt;
&lt;br /&gt;
We construct an atlas that captures functional connectivity characteristics of a cognitive process from a population of individuals. The functional connectivity is encoded in a low-dimensional embedding space derived from a diffusion process on a graph that represents correlations of fMRI time courses. The atlas is represented by a common prior distribution for the embedded fMRI signals of all subjects. The atlas is not directly coupled to the anatomical space, and can represent functional networks that are variable in their spatial distribution. We derive an algorithm for fitting this generative model to the observed data in a population. Our results in a language fMRI study demonstrate that the method identifies coherent and functionally equivalent regions across subjects.&lt;br /&gt;
&lt;br /&gt;
= Description =&lt;br /&gt;
&lt;br /&gt;
We propose a different approach to characterize functional networks in a population of individuals. We do not assume a tight coupling between anatomical location and function, but view functional signals as the basis of a descriptive map that represents the global connectivity pattern during a specific cognitive process. We develop a representation of those networks based on manifold learning techniques and show how we can learn an \emph{atlas} from a population of subjects performing the same task. Our main assumption is that the connectivity pattern associated with a functional process is consistent across individuals. Accordingly, we construct a generative model (the atlas) for these connectivity patterns that describes the common structures within the population. &lt;br /&gt;
&lt;br /&gt;
The clinical goal of this work is to provide additional evidence for localization of functional areas. A robust localization approach is important for neurosurgical planning if individual activations are weak or reorganization has happened due to pathologies such as tumor growth. Furthermore the method provides a basis for understanding the mechanisms underlying formation and reorganization in the cerebral system.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:ModelScheme_revision_2.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
== Experiments ==&lt;br /&gt;
&lt;br /&gt;
== Conclusion ==&lt;br /&gt;
&lt;br /&gt;
We learn an atlas of the functional connectivity structure that emerges during a cognitive process from a group of individuals. The atlas is a group-wise generative model that describes the fMRI responses of all subjects in the embedding space. The embedding space is a low dimensional representation of fMRI time courses that encodes the functional connectivity patterns within each subject. Future work will focus on the application of the framework to the study of reorganization processes.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
== Literature ==&lt;br /&gt;
[1] Georg Langs, Yanmei Tie, Laura Rigolo, Alexandra Golby, Polina Golland. Functional Geometry Alignment and Localization of Brain Areas. in Adv. in Neural Information Processing Systems NIPS 2010&lt;br /&gt;
&lt;br /&gt;
[2] Georg Langs, Andrew Sweet, Danial Lashkari, Yanmei Tie, Laura Rigolo, Alexandra Golby, Polina Golland. Learning an Atlas of a Cognitive Process in its Functional Geometry. in Proc. of IPMI 2011&lt;br /&gt;
&lt;br /&gt;
= Key Investigators =&lt;br /&gt;
&lt;br /&gt;
*MIT: Georg Langs, Andy Sweet, Danial Lashkari, Polina Golland&lt;br /&gt;
*Harvard: Yanmei Tie, Laura Rigolo, Alexandra Golby&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
= Publications =&lt;br /&gt;
&lt;br /&gt;
[http://www.na-mic.org/publications/pages/display?search=Projects%3ANonparametricSegmentation&amp;amp;submit=Search&amp;amp;words=all&amp;amp;title=checked&amp;amp;keywords=checked&amp;amp;authors=checked&amp;amp;abstract=checked&amp;amp;sponsors=checked&amp;amp;searchbytag=checked| NA-MIC Publications Database on Nonparametric Models for Supervised Image Segmentation]&lt;/div&gt;</summary>
		<author><name>Langs</name></author>
		
	</entry>
	<entry>
		<id>https://www.na-mic.org/w/index.php?title=Projects:ConnectivityAtlas&amp;diff=65906</id>
		<title>Projects:ConnectivityAtlas</title>
		<link rel="alternate" type="text/html" href="https://www.na-mic.org/w/index.php?title=Projects:ConnectivityAtlas&amp;diff=65906"/>
		<updated>2011-03-30T21:24:56Z</updated>

		<summary type="html">&lt;p&gt;Langs: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt; Back to [[NA-MIC_Internal_Collaborations:StructuralImageAnalysis|NA-MIC Collaborations]], [[Algorithm:MIT|MIT Algorithms]],&lt;br /&gt;
__NOTOC__&lt;br /&gt;
= Building an atlas of functional connectivity patterns =&lt;br /&gt;
&lt;br /&gt;
We construct an atlas that captures functional connectivity characteristics of a cognitive process from a population of individuals. The functional connectivity is encoded in a low-dimensional embedding space derived from a diffusion process on a graph that represents correlations of fMRI time courses. The atlas is represented by a common prior distribution for the embedded fMRI signals of all subjects. The atlas is not directly coupled to the anatomical space, and can represent functional networks that are variable in their spatial distribution. We derive an algorithm for fitting this generative model to the observed data in a population. Our results in a language fMRI study demonstrate that the method identifies coherent and functionally equivalent regions across subjects.&lt;br /&gt;
&lt;br /&gt;
= Description =&lt;br /&gt;
&lt;br /&gt;
We propose a different approach to characterize functional networks in a population of individuals. We do not assume a tight coupling between anatomical location and function, but view functional signals as the basis of a descriptive map that represents the global connectivity pattern during a specific cognitive process. We develop a representation of those networks based on manifold learning techniques and show how we can learn an \emph{atlas} from a population of subjects performing the same task. Our main assumption is that the connectivity pattern associated with a functional process is consistent across individuals. Accordingly, we construct a generative model (the atlas) for these connectivity patterns that describes the common structures within the population. &lt;br /&gt;
&lt;br /&gt;
The clinical goal of this work is to provide additional evidence for localization of functional areas. A robust localization approach is important for neurosurgical planning if individual activations are weak or reorganization has happened due to pathologies such as tumor growth. Furthermore the method provides a basis for understanding the mechanisms underlying formation and reorganization in the cerebral system.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:ModelScheme_revision_2.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
== Experiments ==&lt;br /&gt;
&lt;br /&gt;
== Conclusion ==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
== Literature ==&lt;br /&gt;
[1] Georg Langs, Yanmei Tie, Laura Rigolo, Alexandra Golby, Polina Golland. Functional Geometry Alignment and Localization of Brain Areas. in Adv. in Neural Information Processing Systems NIPS 2010&lt;br /&gt;
&lt;br /&gt;
[2] R.A. Heckemann, J.V. Hajnal, P. Aljabar, D. Rueckert, and A. Hammers. Automatic anatomical brain MRI segmentation&lt;br /&gt;
combining label propagation and decision fusion. Neuroimage, 33(1):115–126, 2006.&lt;br /&gt;
&lt;br /&gt;
[3] T. Rohlfing, R. Brandt, R. Menzel, and C.R. Maurer. Evaluation of atlas selection strategies for atlas-based image&lt;br /&gt;
segmentation with application to confocal microscopy images of bee brains. NeuroImage, 21(4):1428–1442, 2004.&lt;br /&gt;
&lt;br /&gt;
[4] Freesurfer Wiki. http://surfer.nmr.mgh.harvard.edu.&lt;br /&gt;
&lt;br /&gt;
= Key Investigators =&lt;br /&gt;
&lt;br /&gt;
*MIT: Georg Langs, Andy Sweet, Danial Lashkari, Polina Golland&lt;br /&gt;
*Harvard: Yanmei Tie, Laura Rigolo, Alexandra Golby&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
= Publications =&lt;br /&gt;
&lt;br /&gt;
[http://www.na-mic.org/publications/pages/display?search=Projects%3ANonparametricSegmentation&amp;amp;submit=Search&amp;amp;words=all&amp;amp;title=checked&amp;amp;keywords=checked&amp;amp;authors=checked&amp;amp;abstract=checked&amp;amp;sponsors=checked&amp;amp;searchbytag=checked| NA-MIC Publications Database on Nonparametric Models for Supervised Image Segmentation]&lt;/div&gt;</summary>
		<author><name>Langs</name></author>
		
	</entry>
	<entry>
		<id>https://www.na-mic.org/w/index.php?title=File:ModelScheme_revision_2.png&amp;diff=65903</id>
		<title>File:ModelScheme revision 2.png</title>
		<link rel="alternate" type="text/html" href="https://www.na-mic.org/w/index.php?title=File:ModelScheme_revision_2.png&amp;diff=65903"/>
		<updated>2011-03-30T21:20:42Z</updated>

		<summary type="html">&lt;p&gt;Langs: uploaded a new version of &amp;quot;File:ModelScheme revision 2.png&amp;quot;&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Langs</name></author>
		
	</entry>
	<entry>
		<id>https://www.na-mic.org/w/index.php?title=File:ModelScheme_revision_2.png&amp;diff=65902</id>
		<title>File:ModelScheme revision 2.png</title>
		<link rel="alternate" type="text/html" href="https://www.na-mic.org/w/index.php?title=File:ModelScheme_revision_2.png&amp;diff=65902"/>
		<updated>2011-03-30T21:19:32Z</updated>

		<summary type="html">&lt;p&gt;Langs: uploaded a new version of &amp;quot;File:ModelScheme revision 2.png&amp;quot;&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Langs</name></author>
		
	</entry>
	<entry>
		<id>https://www.na-mic.org/w/index.php?title=Projects:ConnectivityAtlas&amp;diff=65898</id>
		<title>Projects:ConnectivityAtlas</title>
		<link rel="alternate" type="text/html" href="https://www.na-mic.org/w/index.php?title=Projects:ConnectivityAtlas&amp;diff=65898"/>
		<updated>2011-03-30T21:15:31Z</updated>

		<summary type="html">&lt;p&gt;Langs: /* Description */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt; Back to [[NA-MIC_Internal_Collaborations:StructuralImageAnalysis|NA-MIC Collaborations]], [[Algorithm:MIT|MIT Algorithms]],&lt;br /&gt;
__NOTOC__&lt;br /&gt;
= Atlas building =&lt;br /&gt;
this and that&lt;br /&gt;
&lt;br /&gt;
= Description =&lt;br /&gt;
We construct an atlas that captures functional connectivity characteristics of a cognitive process from a population of individuals. The functional connectivity is encoded in a low-dimensional embedding space derived from a diffusion process on a graph that represents correlations of fMRI time courses. The atlas is represented by a common prior distribution for the embedded fMRI signals of all subjects. The atlas is not directly coupled to the anatomical space, and can represent functional networks that are variable in their spatial distribution. We derive an algorithm for fitting this generative model to the observed data in a population. Our results in a language fMRI study demonstrate that the method identifies coherent and functionally equivalent regions across subjects.&lt;br /&gt;
&lt;br /&gt;
[[File:ModelScheme_revision_2.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
== Experiments ==&lt;br /&gt;
&lt;br /&gt;
== Conclusion ==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
== Literature ==&lt;br /&gt;
[1] X. Artaechevarria, A. Munoz-Barrutia, and C. Ortiz de Solorzano. Combination strategies in multi-atlas image segmentation:&lt;br /&gt;
Application to brain MR data. IEEE Tran. Med. Imaging, 28(8):1266 – 1277, 2009.&lt;br /&gt;
&lt;br /&gt;
[2] R.A. Heckemann, J.V. Hajnal, P. Aljabar, D. Rueckert, and A. Hammers. Automatic anatomical brain MRI segmentation&lt;br /&gt;
combining label propagation and decision fusion. Neuroimage, 33(1):115–126, 2006.&lt;br /&gt;
&lt;br /&gt;
[3] T. Rohlfing, R. Brandt, R. Menzel, and C.R. Maurer. Evaluation of atlas selection strategies for atlas-based image&lt;br /&gt;
segmentation with application to confocal microscopy images of bee brains. NeuroImage, 21(4):1428–1442, 2004.&lt;br /&gt;
&lt;br /&gt;
[4] Freesurfer Wiki. http://surfer.nmr.mgh.harvard.edu.&lt;br /&gt;
&lt;br /&gt;
= Key Investigators =&lt;br /&gt;
&lt;br /&gt;
*MIT: Georg Langs, Andy Sweet, Danial Lashkari, Polina Golland&lt;br /&gt;
*Harvard: Yanmei Tie, Laura Rigolo, Alexandra Golby&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
= Publications =&lt;br /&gt;
&lt;br /&gt;
[http://www.na-mic.org/publications/pages/display?search=Projects%3ANonparametricSegmentation&amp;amp;submit=Search&amp;amp;words=all&amp;amp;title=checked&amp;amp;keywords=checked&amp;amp;authors=checked&amp;amp;abstract=checked&amp;amp;sponsors=checked&amp;amp;searchbytag=checked| NA-MIC Publications Database on Nonparametric Models for Supervised Image Segmentation]&lt;/div&gt;</summary>
		<author><name>Langs</name></author>
		
	</entry>
	<entry>
		<id>https://www.na-mic.org/w/index.php?title=File:ModelScheme_revision_2.png&amp;diff=65896</id>
		<title>File:ModelScheme revision 2.png</title>
		<link rel="alternate" type="text/html" href="https://www.na-mic.org/w/index.php?title=File:ModelScheme_revision_2.png&amp;diff=65896"/>
		<updated>2011-03-30T21:14:52Z</updated>

		<summary type="html">&lt;p&gt;Langs: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Langs</name></author>
		
	</entry>
	<entry>
		<id>https://www.na-mic.org/w/index.php?title=Projects:ConnectivityAtlas&amp;diff=65895</id>
		<title>Projects:ConnectivityAtlas</title>
		<link rel="alternate" type="text/html" href="https://www.na-mic.org/w/index.php?title=Projects:ConnectivityAtlas&amp;diff=65895"/>
		<updated>2011-03-30T21:13:58Z</updated>

		<summary type="html">&lt;p&gt;Langs: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt; Back to [[NA-MIC_Internal_Collaborations:StructuralImageAnalysis|NA-MIC Collaborations]], [[Algorithm:MIT|MIT Algorithms]],&lt;br /&gt;
__NOTOC__&lt;br /&gt;
= Atlas building =&lt;br /&gt;
this and that&lt;br /&gt;
&lt;br /&gt;
= Description =&lt;br /&gt;
We construct an atlas that captures functional connectivity characteristics of a cognitive process from a population of individuals. The functional connectivity is encoded in a low-dimensional embedding space derived from a diffusion process on a graph that represents correlations of fMRI time courses. The atlas is represented by a common prior distribution for the embedded fMRI signals of all subjects. The atlas is not directly coupled to the anatomical space, and can represent functional networks that are variable in their spatial distribution. We derive an algorithm for fitting this generative model to the observed data in a population. Our results in a language fMRI study demonstrate that the method identifies coherent and functionally equivalent regions across subjects.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
== Experiments ==&lt;br /&gt;
&lt;br /&gt;
== Conclusion ==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
== Literature ==&lt;br /&gt;
[1] X. Artaechevarria, A. Munoz-Barrutia, and C. Ortiz de Solorzano. Combination strategies in multi-atlas image segmentation:&lt;br /&gt;
Application to brain MR data. IEEE Tran. Med. Imaging, 28(8):1266 – 1277, 2009.&lt;br /&gt;
&lt;br /&gt;
[2] R.A. Heckemann, J.V. Hajnal, P. Aljabar, D. Rueckert, and A. Hammers. Automatic anatomical brain MRI segmentation&lt;br /&gt;
combining label propagation and decision fusion. Neuroimage, 33(1):115–126, 2006.&lt;br /&gt;
&lt;br /&gt;
[3] T. Rohlfing, R. Brandt, R. Menzel, and C.R. Maurer. Evaluation of atlas selection strategies for atlas-based image&lt;br /&gt;
segmentation with application to confocal microscopy images of bee brains. NeuroImage, 21(4):1428–1442, 2004.&lt;br /&gt;
&lt;br /&gt;
[4] Freesurfer Wiki. http://surfer.nmr.mgh.harvard.edu.&lt;br /&gt;
&lt;br /&gt;
= Key Investigators =&lt;br /&gt;
&lt;br /&gt;
*MIT: Georg Langs, Andy Sweet, Danial Lashkari, Polina Golland&lt;br /&gt;
*Harvard: Yanmei Tie, Laura Rigolo, Alexandra Golby&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
= Publications =&lt;br /&gt;
&lt;br /&gt;
[http://www.na-mic.org/publications/pages/display?search=Projects%3ANonparametricSegmentation&amp;amp;submit=Search&amp;amp;words=all&amp;amp;title=checked&amp;amp;keywords=checked&amp;amp;authors=checked&amp;amp;abstract=checked&amp;amp;sponsors=checked&amp;amp;searchbytag=checked| NA-MIC Publications Database on Nonparametric Models for Supervised Image Segmentation]&lt;/div&gt;</summary>
		<author><name>Langs</name></author>
		
	</entry>
	<entry>
		<id>https://www.na-mic.org/w/index.php?title=Algorithm:MIT&amp;diff=65889</id>
		<title>Algorithm:MIT</title>
		<link rel="alternate" type="text/html" href="https://www.na-mic.org/w/index.php?title=Algorithm:MIT&amp;diff=65889"/>
		<updated>2011-03-30T21:11:02Z</updated>

		<summary type="html">&lt;p&gt;Langs: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt; Back to [[Algorithm:Main|NA-MIC Algorithms]]&lt;br /&gt;
__NOTOC__&lt;br /&gt;
= Overview of MIT Algorithms (PI: Polina Golland) =&lt;br /&gt;
&lt;br /&gt;
Our group seeks to model statistical variability of anatomy and function across subjects and between populations and to utilize computational models of such variability to improve predictions for individual subjects, as well as characterize populations. Our long-term goal is to develop methods for joint modeling of anatomy and function and to apply them in clinical and scientific studies. We work primarily with anatomical, DTI and fMRI images. We actively contribute implementations of our algorithms to the NAMIC-kit.&lt;br /&gt;
&lt;br /&gt;
= MIT Projects =&lt;br /&gt;
&lt;br /&gt;
{| cellpadding=&amp;quot;10&amp;quot; style=&amp;quot;text-align:left;&amp;quot;&lt;br /&gt;
|| [[Image:Segmentation_example2.png|250px]]&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
== [[Projects:NerveSegmentation| Nerve Segmentation]] ==&lt;br /&gt;
Placeholder&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
&lt;br /&gt;
| | [[Image:TGIt.gif|center| 150px]]&lt;br /&gt;
| |&lt;br /&gt;
&lt;br /&gt;
== [[Projects:ConnectivityAtlas| Functional connectivity atlases and tumors]] ==&lt;br /&gt;
Placeholder&lt;br /&gt;
&lt;br /&gt;
[[Projects:ConnectivityAtlas|More...]]&lt;br /&gt;
&lt;br /&gt;
== [[Projects:NonparametricSegmentation| Nonparametric Models for Supervised Image Segmentation]] ==&lt;br /&gt;
&lt;br /&gt;
We propose a non-parametric, probabilistic model for the automatic segmentation of medical images,&lt;br /&gt;
given a training set of images and corresponding label maps. The resulting inference algorithms we&lt;br /&gt;
develop rely on pairwise registrations between the test image and individual training images. The&lt;br /&gt;
training labels are then transferred to the test image and fused to compute a final segmentation of&lt;br /&gt;
the test subject. [[Projects:NonparametricSegmentation|More...]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt; M.R. Sabuncu, B.T.T Yeo, K. Van Leemput, B. Fischl, and P. Golland. A Generative Model for Image Segmentation Based on Label Fusion.  IEEE Transactions on Medical Imaging, 29(10):1714-1729, 2010. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
&lt;br /&gt;
| | [[Image:TGIt.gif|center| 150px]]&lt;br /&gt;
| |&lt;br /&gt;
&lt;br /&gt;
== [[Projects:LatentAtlasSegmentation|Joint Segmentation of Image Ensembles via Latent Atlases]] ==&lt;br /&gt;
&lt;br /&gt;
Spatial priors, such as probabilistic atlases, play an important role in MRI segmentation. The atlases are typically generated by averaging manual labels of aligned brain regions across different subjects. However, the availability of comprehensive, reliable and suitable manual segmentations is limited. We therefore propose a joint segmentation of corresponding, aligned structures in the entire population that does not require a probability atlas. &lt;br /&gt;
[[Projects:LatentAtlasSegmentation|More...]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt;  T. Riklin Raviv, K. Van-Leemput, B.M. Menze, W.M. Wells III, and P. Golland. Joint Segmentation of Image Ensembles via Latent Atlases, Special Issue of Medical Image Analysis (MedIA), 14(5):654-665, 2010. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
&lt;br /&gt;
|| [[Image:Mdepa_MDE_scar_seg_3D.png| 250px]]&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
== [[Projects:AblationScarSegmentation | Cardiac Ablation Scar Segmentation]] ==&lt;br /&gt;
&lt;br /&gt;
Catheter radio-frequency (RF) ablation is a technique used to treat atrial fibrillation, a very common heart condition. The objective of this project is to automatically segment the scar created by RF ablation in delayed enhancement MR images acquired after the procedure. This will then provide surgeons with a visualization which will help them to rapidly evaluate the success of the procedure.&lt;br /&gt;
[[Projects:AblationScarSegmentation|More...]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt; M. Depa, M.R. Sabuncu, G. Holmvang, R. Nezafat, E.J. Schmidt, and P. Golland. Robust Atlas-Based Segmentation of Highly Variable Anatomy: Left Atrium Segmentation. In Proc. of MICCAI Workshop on Statistical Atlases and Computational Models of the Heart: Mapping Structure and Function, LNCS 6364:85-94, 2010. &lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
&lt;br /&gt;
| | [[Image:Tumor_model.jpg‎|center|150px]]&lt;br /&gt;
| |&lt;br /&gt;
&lt;br /&gt;
== [[Projects:TumorModeling|Brain Tumor Segmentation and Modeling]] ==&lt;br /&gt;
&lt;br /&gt;
We are interested in developing computational methods for the assimilation of magnetic resonance image data into physiological models of glioma - the most frequent primary brain tumor - for a patient-adaptive modeling of tumor growth. [[Projects:TumorModeling|More...]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt; Menze BH, Van Leemput K, Honkela A, Konukoglu E, Weber MA, Ayache N and Golland P. A generative approach for image-based modeling of tumor growth. Proc IPMI 2011. LNCS. 12p&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
&lt;br /&gt;
{| cellpadding=&amp;quot;10&amp;quot; style=&amp;quot;text-align:left;&amp;quot;&lt;br /&gt;
|| [[Image:lh.pm14686.BA2.gif|250px]]&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
== [[Projects:LearningRegistrationCostFunctions| Learning Task-Optimal Registration Cost Functions]] ==&lt;br /&gt;
&lt;br /&gt;
We present a framework for learning the parameters of registration cost functions. The parameters of the registration cost function -- for example, the tradeoff between the image similarity and regularization terms -- are typically determined manually through inspection of the image alignment and then fixed for all applications. We propose a principled approach to learn these parameters with respect to particular applications. [[Projects:LearningRegistrationCostFunctions|More...]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt; B.T.T. Yeo, M.R. Sabuncu, T. Vercauteren, D. Holt, K. Amunts, K. Zilles, P. Golland, and B. Fischl. Learning Task-Optimal Registration Cost Functions for Localizing Cytoarchitecture and Function in the Cerebral Cortex. IEEE Transactions on Medical Imaging, 29(7):1424-1441, 2010. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
&lt;br /&gt;
| | [[Image:CoordinateChart.png|250px]]&lt;br /&gt;
| |&lt;br /&gt;
&lt;br /&gt;
== [[Projects:SphericalDemons|Spherical Demons: Fast Surface Registration]] ==&lt;br /&gt;
&lt;br /&gt;
We present the fast Spherical Demons algorithm for registering two spherical images. By exploiting spherical vector spline interpolation theory, we show that a large class of regularizers for the modified demons objective function can be efficiently approximated on the sphere using convolution. Based on the one parameter subgroups of diffeomorphisms, [[Projects:SphericalDemons|More...]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt; B.T.T. Yeo, M.R. Sabuncu, T. Vercauteren, N. Ayache, B. Fischl and P. Golland. Spherical Demons: Fast Diffeomorphic Landmark-Free Surface Registration. IEEE Transactions on Medical Imaging, 29(3):650-668, 2010.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
&lt;br /&gt;
| | [[Image:epi_correction_small.jpg|200px]]&lt;br /&gt;
| |&lt;br /&gt;
&lt;br /&gt;
== [[Projects:FieldmapFreeDistortionCorrection|Fieldmap-Free EPI Distortion Correction]] ==&lt;br /&gt;
&lt;br /&gt;
In this project we aim to improve the EPI distortion correction algorithms. [[Projects:FieldmapFreeDistortionCorrection|More...]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt;  Poynton C., Jenkinson M., Wells III W. Atlas-Based Improved Prediction of Magnetic Field Inhomogeneity for Distortion Correction of EPI Data. In Proc. MICCAI: International Conference on Medical Image Computing and Computer Assisted Intervention, LNCS 5761:951-959, 2009.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
&lt;br /&gt;
| | [[Image:Namic wiki.png|200px]]&lt;br /&gt;
| |&lt;br /&gt;
&lt;br /&gt;
== [[Projects:QuantitativeSusceptibilityMapping| Quantitative Susceptibility Mapping ]] ==&lt;br /&gt;
&lt;br /&gt;
There is increasing evidence that excessive iron deposition in specific regions&lt;br /&gt;
of the brain is associated with neurodegenerative disorders such as Alzheimer's&lt;br /&gt;
and Parkinson's disease. The role of iron in the pathogenesis of these diseases&lt;br /&gt;
remains unknown and is difficult to determine without a non-invasive method&lt;br /&gt;
to quantify its concentration in-vivo. Since iron is a ferromagnetic substance,&lt;br /&gt;
changes in iron concentration result in local changes in the magnetic susceptibility of tissue. &lt;br /&gt;
In magnetic resonance imaging (MRI) experiments, differences&lt;br /&gt;
in magnetic susceptibility cause perturbations in the local magnetic field, which&lt;br /&gt;
can be computed from the phase of the MR signal.[[Projects:QuantitativeSusceptibilityMapping|More...]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt;  Poynton C., Wells W. A Variational Approach to Susceptibility Estimation that is insensitive to B0 Inhomogeneity. In Proc. ISMRM: Int. Soc. of Magnetic Resonance in Medicine, 2011 (in press).&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
&lt;br /&gt;
| | [[Image:mit_fmri_clustering_parcellation2_xsub.png|200px]]&lt;br /&gt;
| |&lt;br /&gt;
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== [[Projects:fMRIClustering|Improving fMRI Analysis using Supervised and Unsupervised Learning]] ==&lt;br /&gt;
&lt;br /&gt;
One of the major goals in the analysis of fMRI data is the detection of networks in the brain with similar functional behavior. A wide variety of methods including hypothesis-driven statistical tests, supervised, and unsupervised learning methods have been employed to find these networks. In this project, we develop novel learning algorithms that enable more efficient inferences from fMRI measurements.    [[Projects:fMRIClustering|More...]] &lt;br /&gt;
&lt;br /&gt;
&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt; G. Langs, Y. Tie, L. Rigolo, A.J. Golby, and P. Golland. Functional Geometry Alignment for Localization of Brain Areas. To appear in Proc. NIPS: Neural Information Processing Systems, 2010. &lt;br /&gt;
&lt;br /&gt;
&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt; A. Venkataraman, Y. Rathi, M. Kubicki, C-F. Westin and P. Golland.  Joint Generative Model for fMRI/DWI and its Application to Population Studies.  In Proc. MICCAI: International Conference on Medical Image Computing and Computer Assisted Intervention, LNCS 6361:191-199, 2010. &lt;br /&gt;
&lt;br /&gt;
&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt; D. Lashkari, E. Vul, N.G. Kanwisher, and P. Golland. Discovering structure in the space of fMRI selectivity profiles. NeuroImage, 3(15):1085-1098, 2010.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt; A. Venkataraman, M. Kubicki, C.-F. Westin, and P. Golland. Robust Feature Selection in Resting-State fMRI Connectivity Based on Population Studies. In Proc. MMBIA: IEEE Computer Society Workshop on Mathematical Methods in Biomedical Image Analysis, 2010.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt; D. Lashkari, R. Sridharan, E. Vul, P.-J. Hsieh, N. Kanwisher, and P. Golland. Nonparametric Hierarchical Bayesian Model for Functional Brain Parcellation. In Proc. MMBIA: IEEE Computer Society Workshop on Mathematical Methods in Biomedical Image Analysis, 2010.&lt;br /&gt;
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{| cellpadding=&amp;quot;10&amp;quot; style=&amp;quot;text-align:left;&amp;quot; &lt;br /&gt;
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== [[Projects:BayesianMRSegmentation| Bayesian Segmentation of MRI Images]] ==&lt;br /&gt;
&lt;br /&gt;
The aim of this project is to develop, implement, and validate a generic method for segmenting MRI images that automatically adapts to different acquisition sequences. [[Projects:BayesianMRSegmentation|More...]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt; K. Van Leemput, A. Bakkour, T. Benner, G. Wiggins, L.L. Wald, J. Augustinack, B.C. Dickerson, P. Golland, and B. Fischl. Automated Segmentation of Hippocampal Subfields from Ultra-High Resolution In Vivo MRI. Hippocampus, 19:549-557, 2009. &lt;br /&gt;
&lt;br /&gt;
&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt; K. Van Leemput. Encoding Probabilistic Atlases Using Bayesian Inference. IEEE Transactions on Medical Imaging, 28(6):822-837, 2009.&lt;br /&gt;
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| | [[Image:ICluster_templates.gif|250px]]&lt;br /&gt;
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== [[Projects:MultimodalAtlas|Multimodal Atlas]] ==&lt;br /&gt;
&lt;br /&gt;
In this work, we propose and investigate an algorithm that jointly co-registers a collection of images while computing multiple templates. The algorithm, called '''iCluster''', is used to compute multiple atlases for a given population.&lt;br /&gt;
[[Projects:MultimodalAtlas|More...]]&lt;br /&gt;
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&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt; Image-driven Population Analysis through Mixture-Modeling, M.R. Sabuncu, S.K. Balci, M.E. Shenton and P. Golland. IEEE Transactions on Medical Imaging, 28(9):1473 - 1487, 2009.&lt;br /&gt;
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| | [[Image:GroupwiseSummary.PNG|200px]]&lt;br /&gt;
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== [[Projects:GroupwiseRegistration|Groupwise Registration]] ==&lt;br /&gt;
&lt;br /&gt;
We extend a previously demonstrated entropy based groupwise registration method to include a free-form deformation model based on B-splines. We provide an efficient implementation using stochastic gradient descents in a multi-resolution setting. We demonstrate the method in application to a set of 50 MRI brain scans and compare the results to a pairwise approach using segmentation labels to evaluate the quality of alignment.&lt;br /&gt;
&lt;br /&gt;
In a related project,  we develop a method that reconciles the practical advantages of symmetric registration with the asymmetric nature of image-template registration by adding a simple correction factor to the symmetric cost function. We instantiate our model within a log-domain diffeomorphic registration framework. Our experiments show exploiting the asymmetry in image-template registration improves alignment in the image coordinates. [[Projects:GroupwiseRegistration|More...]]&lt;br /&gt;
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&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt;  Asymmetric Image-Template Registration, M.R. Sabuncu, B.T. Thomas Yeo, T. Vercauteren, K. Van Leemput, P. Golland. In Proc. MICCAI: International Conference on Medical Image Computing and Computer Assisted Intervention, LNCS 5761:565-573, 2009.&lt;br /&gt;
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| | [[Image:JointRegSeg.png|200px]]&lt;br /&gt;
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== [[Projects:RegistrationRegularization|Optimal Atlas Regularization in Image Segmentation]] ==&lt;br /&gt;
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We propose a unified framework for computing atlases from manually labeled data sets at various degrees of “sharpness” and the joint registration and segmentation of a new brain with these atlases. Using this framework, we investigate the tradeoff between warp regularization and image ﬁdelity, i.e. the smoothness of the new subject warp and the sharpness of the atlas in a segmentation application.&lt;br /&gt;
[[Projects:RegistrationRegularization|More...]]&lt;br /&gt;
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| | [[Image:FoldingSpeedDetection.png|150px|]]&lt;br /&gt;
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== [[Projects:ShapeAnalysisWithOvercompleteWavelets|Shape Analysis With Overcomplete Wavelets]] ==&lt;br /&gt;
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In this work, we extend the Euclidean wavelets to the sphere. The resulting over-complete spherical wavelets are invariant to the rotation of the spherical image parameterization. We apply the over-complete spherical wavelet to cortical folding development [[Projects:ShapeAnalysisWithOvercompleteWavelets|More...]]&lt;br /&gt;
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== [[Projects:DTIModeling|Fiber Tract Modeling, Clustering, and Quantitative Analysis]] ==&lt;br /&gt;
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The goal of this work is to model the shape of the fiber bundles and use this model description in clustering and statistical analysis of fiber tracts. [[Projects:DTIModeling|More...]]&lt;br /&gt;
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| | [[Image:Progress_Registration_Segmentation_Shape.jpg|180px]]&lt;br /&gt;
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== [[Projects:ShapeBasedSegmentationAndRegistration|Shape Based Segmentation and Registration]] ==&lt;br /&gt;
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This type of algorithm assigns a tissue type to each voxel in the volume. Incorporating prior shape information biases the label assignment towards contiguous regions that are consistent with the shape model. [[Projects:ShapeBasedSegmentationAndRegistration|More...]]&lt;br /&gt;
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| | [[Image:MIT_DTI_JointSegReg_atlas3D.jpg|200px]]&lt;br /&gt;
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== [[Projects:DTIFiberRegistration|Joint Registration and Segmentation of DWI Fiber Tractography]] ==&lt;br /&gt;
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The goal of this work is to jointly register and cluster DWI fiber tracts obtained from a group of subjects. [[Projects:DTIFiberRegistration|More...]]&lt;br /&gt;
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| | [[Image:brain.png|200px]]&lt;br /&gt;
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== [[Projects:DTIClustering|DTI Fiber Clustering and Fiber-Based Analysis]] ==&lt;br /&gt;
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The goal of this project is to provide structural description of the white matter architecture as a partition into coherent fiber bundles and clusters, and to use these bundles for quantitative measurement. [[Projects:DTIClustering|More...]]&lt;br /&gt;
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== [[Projects:fMRIDetection|fMRI Detection and Analysis]] ==&lt;br /&gt;
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We are exploring algorithms for improved fMRI detection and interpretation by incorporting spatial priors and anatomical information to guide the detection. [[Projects:fMRIDetection|More...]]&lt;br /&gt;
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&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt; W. Ou, W.M. Wells III, and P. Golland. Combining Spatial Priors and Anatomical Information for fMRI Detection. Medical Image Analysis, 14(3):318-331, 2010.&lt;br /&gt;
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| | [[Image:Thalamus_algo_outline.png|200px]]&lt;br /&gt;
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== [[Projects:DTISegmentation|DTI-based Segmentation]] ==&lt;br /&gt;
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Unlike conventional MRI, DTI provides adequate contrast to segment the thalamic nuclei, which are gray matter structures. [[Projects:DTISegmentation|More...]]&lt;br /&gt;
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== [[Projects:DTIStochasticTractography|Stochastic Tractography]] ==&lt;br /&gt;
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This work calculates posterior distributions of white matter fiber tract parameters given diffusion observations in a DWI volume.  [[Projects:DTIStochasticTractography|More...]]&lt;br /&gt;
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| | [[Image:HippocampalShapeDifferences.gif|200px]]&lt;br /&gt;
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== [[Projects:ShapeAnalysis|Population Analysis of Anatomical Variability]] ==&lt;br /&gt;
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Our goal is to develop mathematical approaches to modeling anatomical variability within and across populations using tools like local shape descriptors of specific regions of interest and global constellation descriptors of multiple ROI's. [[Projects:ShapeAnalysis|More...]]&lt;br /&gt;
&lt;br /&gt;
|}&lt;/div&gt;</summary>
		<author><name>Langs</name></author>
		
	</entry>
	<entry>
		<id>https://www.na-mic.org/w/index.php?title=Algorithm:MIT&amp;diff=65888</id>
		<title>Algorithm:MIT</title>
		<link rel="alternate" type="text/html" href="https://www.na-mic.org/w/index.php?title=Algorithm:MIT&amp;diff=65888"/>
		<updated>2011-03-30T21:10:25Z</updated>

		<summary type="html">&lt;p&gt;Langs: /*  Functional connectivity atlases and tumors */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt; Back to [[Algorithm:Main|NA-MIC Algorithms]]&lt;br /&gt;
__NOTOC__&lt;br /&gt;
= Overview of MIT Algorithms (PI: Polina Golland) =&lt;br /&gt;
&lt;br /&gt;
Our group seeks to model statistical variability of anatomy and function across subjects and between populations and to utilize computational models of such variability to improve predictions for individual subjects, as well as characterize populations. Our long-term goal is to develop methods for joint modeling of anatomy and function and to apply them in clinical and scientific studies. We work primarily with anatomical, DTI and fMRI images. We actively contribute implementations of our algorithms to the NAMIC-kit.&lt;br /&gt;
&lt;br /&gt;
= MIT Projects =&lt;br /&gt;
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{| cellpadding=&amp;quot;10&amp;quot; style=&amp;quot;text-align:left;&amp;quot;&lt;br /&gt;
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== [[Projects:NerveSegmentation| Nerve Segmentation]] ==&lt;br /&gt;
Placeholder&lt;br /&gt;
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== [[Projects:ConnectivityAtlas| Functional connectivity atlases and tumors]] ==&lt;br /&gt;
Placeholder&lt;br /&gt;
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[[Projects:ConnectivityAtlas|More...]]&lt;br /&gt;
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== [[Projects:NonparametricSegmentation| Nonparametric Models for Supervised Image Segmentation]] ==&lt;br /&gt;
&lt;br /&gt;
We propose a non-parametric, probabilistic model for the automatic segmentation of medical images,&lt;br /&gt;
given a training set of images and corresponding label maps. The resulting inference algorithms we&lt;br /&gt;
develop rely on pairwise registrations between the test image and individual training images. The&lt;br /&gt;
training labels are then transferred to the test image and fused to compute a final segmentation of&lt;br /&gt;
the test subject. [[Projects:NonparametricSegmentation|More...]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt; M.R. Sabuncu, B.T.T Yeo, K. Van Leemput, B. Fischl, and P. Golland. A Generative Model for Image Segmentation Based on Label Fusion.  IEEE Transactions on Medical Imaging, 29(10):1714-1729, 2010. &lt;br /&gt;
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== [[Projects:LatentAtlasSegmentation|Joint Segmentation of Image Ensembles via Latent Atlases]] ==&lt;br /&gt;
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Spatial priors, such as probabilistic atlases, play an important role in MRI segmentation. The atlases are typically generated by averaging manual labels of aligned brain regions across different subjects. However, the availability of comprehensive, reliable and suitable manual segmentations is limited. We therefore propose a joint segmentation of corresponding, aligned structures in the entire population that does not require a probability atlas. &lt;br /&gt;
[[Projects:LatentAtlasSegmentation|More...]]&lt;br /&gt;
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&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt;  T. Riklin Raviv, K. Van-Leemput, B.M. Menze, W.M. Wells III, and P. Golland. Joint Segmentation of Image Ensembles via Latent Atlases, Special Issue of Medical Image Analysis (MedIA), 14(5):654-665, 2010. &lt;br /&gt;
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|| [[Image:Mdepa_MDE_scar_seg_3D.png| 250px]]&lt;br /&gt;
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== [[Projects:AblationScarSegmentation | Cardiac Ablation Scar Segmentation]] ==&lt;br /&gt;
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Catheter radio-frequency (RF) ablation is a technique used to treat atrial fibrillation, a very common heart condition. The objective of this project is to automatically segment the scar created by RF ablation in delayed enhancement MR images acquired after the procedure. This will then provide surgeons with a visualization which will help them to rapidly evaluate the success of the procedure.&lt;br /&gt;
[[Projects:AblationScarSegmentation|More...]]&lt;br /&gt;
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&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt; M. Depa, M.R. Sabuncu, G. Holmvang, R. Nezafat, E.J. Schmidt, and P. Golland. Robust Atlas-Based Segmentation of Highly Variable Anatomy: Left Atrium Segmentation. In Proc. of MICCAI Workshop on Statistical Atlases and Computational Models of the Heart: Mapping Structure and Function, LNCS 6364:85-94, 2010. &lt;br /&gt;
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== [[Projects:TumorModeling|Brain Tumor Segmentation and Modeling]] ==&lt;br /&gt;
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We are interested in developing computational methods for the assimilation of magnetic resonance image data into physiological models of glioma - the most frequent primary brain tumor - for a patient-adaptive modeling of tumor growth. [[Projects:TumorModeling|More...]]&lt;br /&gt;
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&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt; Menze BH, Van Leemput K, Honkela A, Konukoglu E, Weber MA, Ayache N and Golland P. A generative approach for image-based modeling of tumor growth. Proc IPMI 2011. LNCS. 12p&lt;br /&gt;
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{| cellpadding=&amp;quot;10&amp;quot; style=&amp;quot;text-align:left;&amp;quot;&lt;br /&gt;
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== [[Projects:LearningRegistrationCostFunctions| Learning Task-Optimal Registration Cost Functions]] ==&lt;br /&gt;
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We present a framework for learning the parameters of registration cost functions. The parameters of the registration cost function -- for example, the tradeoff between the image similarity and regularization terms -- are typically determined manually through inspection of the image alignment and then fixed for all applications. We propose a principled approach to learn these parameters with respect to particular applications. [[Projects:LearningRegistrationCostFunctions|More...]]&lt;br /&gt;
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&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt; B.T.T. Yeo, M.R. Sabuncu, T. Vercauteren, D. Holt, K. Amunts, K. Zilles, P. Golland, and B. Fischl. Learning Task-Optimal Registration Cost Functions for Localizing Cytoarchitecture and Function in the Cerebral Cortex. IEEE Transactions on Medical Imaging, 29(7):1424-1441, 2010. &lt;br /&gt;
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| | [[Image:CoordinateChart.png|250px]]&lt;br /&gt;
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== [[Projects:SphericalDemons|Spherical Demons: Fast Surface Registration]] ==&lt;br /&gt;
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We present the fast Spherical Demons algorithm for registering two spherical images. By exploiting spherical vector spline interpolation theory, we show that a large class of regularizers for the modified demons objective function can be efficiently approximated on the sphere using convolution. Based on the one parameter subgroups of diffeomorphisms, [[Projects:SphericalDemons|More...]]&lt;br /&gt;
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&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt; B.T.T. Yeo, M.R. Sabuncu, T. Vercauteren, N. Ayache, B. Fischl and P. Golland. Spherical Demons: Fast Diffeomorphic Landmark-Free Surface Registration. IEEE Transactions on Medical Imaging, 29(3):650-668, 2010.&lt;br /&gt;
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| | [[Image:epi_correction_small.jpg|200px]]&lt;br /&gt;
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== [[Projects:FieldmapFreeDistortionCorrection|Fieldmap-Free EPI Distortion Correction]] ==&lt;br /&gt;
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In this project we aim to improve the EPI distortion correction algorithms. [[Projects:FieldmapFreeDistortionCorrection|More...]]&lt;br /&gt;
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&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt;  Poynton C., Jenkinson M., Wells III W. Atlas-Based Improved Prediction of Magnetic Field Inhomogeneity for Distortion Correction of EPI Data. In Proc. MICCAI: International Conference on Medical Image Computing and Computer Assisted Intervention, LNCS 5761:951-959, 2009.&lt;br /&gt;
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== [[Projects:QuantitativeSusceptibilityMapping| Quantitative Susceptibility Mapping ]] ==&lt;br /&gt;
&lt;br /&gt;
There is increasing evidence that excessive iron deposition in specific regions&lt;br /&gt;
of the brain is associated with neurodegenerative disorders such as Alzheimer's&lt;br /&gt;
and Parkinson's disease. The role of iron in the pathogenesis of these diseases&lt;br /&gt;
remains unknown and is difficult to determine without a non-invasive method&lt;br /&gt;
to quantify its concentration in-vivo. Since iron is a ferromagnetic substance,&lt;br /&gt;
changes in iron concentration result in local changes in the magnetic susceptibility of tissue. &lt;br /&gt;
In magnetic resonance imaging (MRI) experiments, differences&lt;br /&gt;
in magnetic susceptibility cause perturbations in the local magnetic field, which&lt;br /&gt;
can be computed from the phase of the MR signal.[[Projects:QuantitativeSusceptibilityMapping|More...]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt;  Poynton C., Wells W. A Variational Approach to Susceptibility Estimation that is insensitive to B0 Inhomogeneity. In Proc. ISMRM: Int. Soc. of Magnetic Resonance in Medicine, 2011 (in press).&lt;br /&gt;
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== [[Projects:fMRIClustering|Improving fMRI Analysis using Supervised and Unsupervised Learning]] ==&lt;br /&gt;
&lt;br /&gt;
One of the major goals in the analysis of fMRI data is the detection of networks in the brain with similar functional behavior. A wide variety of methods including hypothesis-driven statistical tests, supervised, and unsupervised learning methods have been employed to find these networks. In this project, we develop novel learning algorithms that enable more efficient inferences from fMRI measurements.    [[Projects:fMRIClustering|More...]] &lt;br /&gt;
&lt;br /&gt;
&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt; G. Langs, Y. Tie, L. Rigolo, A.J. Golby, and P. Golland. Functional Geometry Alignment for Localization of Brain Areas. To appear in Proc. NIPS: Neural Information Processing Systems, 2010. &lt;br /&gt;
&lt;br /&gt;
&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt; A. Venkataraman, Y. Rathi, M. Kubicki, C-F. Westin and P. Golland.  Joint Generative Model for fMRI/DWI and its Application to Population Studies.  In Proc. MICCAI: International Conference on Medical Image Computing and Computer Assisted Intervention, LNCS 6361:191-199, 2010. &lt;br /&gt;
&lt;br /&gt;
&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt; D. Lashkari, E. Vul, N.G. Kanwisher, and P. Golland. Discovering structure in the space of fMRI selectivity profiles. NeuroImage, 3(15):1085-1098, 2010.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt; A. Venkataraman, M. Kubicki, C.-F. Westin, and P. Golland. Robust Feature Selection in Resting-State fMRI Connectivity Based on Population Studies. In Proc. MMBIA: IEEE Computer Society Workshop on Mathematical Methods in Biomedical Image Analysis, 2010.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt; D. Lashkari, R. Sridharan, E. Vul, P.-J. Hsieh, N. Kanwisher, and P. Golland. Nonparametric Hierarchical Bayesian Model for Functional Brain Parcellation. In Proc. MMBIA: IEEE Computer Society Workshop on Mathematical Methods in Biomedical Image Analysis, 2010.&lt;br /&gt;
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{| cellpadding=&amp;quot;10&amp;quot; style=&amp;quot;text-align:left;&amp;quot; &lt;br /&gt;
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== [[Projects:BayesianMRSegmentation| Bayesian Segmentation of MRI Images]] ==&lt;br /&gt;
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The aim of this project is to develop, implement, and validate a generic method for segmenting MRI images that automatically adapts to different acquisition sequences. [[Projects:BayesianMRSegmentation|More...]]&lt;br /&gt;
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&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt; K. Van Leemput, A. Bakkour, T. Benner, G. Wiggins, L.L. Wald, J. Augustinack, B.C. Dickerson, P. Golland, and B. Fischl. Automated Segmentation of Hippocampal Subfields from Ultra-High Resolution In Vivo MRI. Hippocampus, 19:549-557, 2009. &lt;br /&gt;
&lt;br /&gt;
&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt; K. Van Leemput. Encoding Probabilistic Atlases Using Bayesian Inference. IEEE Transactions on Medical Imaging, 28(6):822-837, 2009.&lt;br /&gt;
&lt;br /&gt;
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|-&lt;br /&gt;
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| | [[Image:ICluster_templates.gif|250px]]&lt;br /&gt;
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== [[Projects:MultimodalAtlas|Multimodal Atlas]] ==&lt;br /&gt;
&lt;br /&gt;
In this work, we propose and investigate an algorithm that jointly co-registers a collection of images while computing multiple templates. The algorithm, called '''iCluster''', is used to compute multiple atlases for a given population.&lt;br /&gt;
[[Projects:MultimodalAtlas|More...]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt; Image-driven Population Analysis through Mixture-Modeling, M.R. Sabuncu, S.K. Balci, M.E. Shenton and P. Golland. IEEE Transactions on Medical Imaging, 28(9):1473 - 1487, 2009.&lt;br /&gt;
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| | [[Image:GroupwiseSummary.PNG|200px]]&lt;br /&gt;
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== [[Projects:GroupwiseRegistration|Groupwise Registration]] ==&lt;br /&gt;
&lt;br /&gt;
We extend a previously demonstrated entropy based groupwise registration method to include a free-form deformation model based on B-splines. We provide an efficient implementation using stochastic gradient descents in a multi-resolution setting. We demonstrate the method in application to a set of 50 MRI brain scans and compare the results to a pairwise approach using segmentation labels to evaluate the quality of alignment.&lt;br /&gt;
&lt;br /&gt;
In a related project,  we develop a method that reconciles the practical advantages of symmetric registration with the asymmetric nature of image-template registration by adding a simple correction factor to the symmetric cost function. We instantiate our model within a log-domain diffeomorphic registration framework. Our experiments show exploiting the asymmetry in image-template registration improves alignment in the image coordinates. [[Projects:GroupwiseRegistration|More...]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt;  Asymmetric Image-Template Registration, M.R. Sabuncu, B.T. Thomas Yeo, T. Vercauteren, K. Van Leemput, P. Golland. In Proc. MICCAI: International Conference on Medical Image Computing and Computer Assisted Intervention, LNCS 5761:565-573, 2009.&lt;br /&gt;
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| | [[Image:JointRegSeg.png|200px]]&lt;br /&gt;
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== [[Projects:RegistrationRegularization|Optimal Atlas Regularization in Image Segmentation]] ==&lt;br /&gt;
&lt;br /&gt;
We propose a unified framework for computing atlases from manually labeled data sets at various degrees of “sharpness” and the joint registration and segmentation of a new brain with these atlases. Using this framework, we investigate the tradeoff between warp regularization and image ﬁdelity, i.e. the smoothness of the new subject warp and the sharpness of the atlas in a segmentation application.&lt;br /&gt;
[[Projects:RegistrationRegularization|More...]]&lt;br /&gt;
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| | [[Image:FoldingSpeedDetection.png|150px|]]&lt;br /&gt;
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== [[Projects:ShapeAnalysisWithOvercompleteWavelets|Shape Analysis With Overcomplete Wavelets]] ==&lt;br /&gt;
&lt;br /&gt;
In this work, we extend the Euclidean wavelets to the sphere. The resulting over-complete spherical wavelets are invariant to the rotation of the spherical image parameterization. We apply the over-complete spherical wavelet to cortical folding development [[Projects:ShapeAnalysisWithOvercompleteWavelets|More...]]&lt;br /&gt;
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== [[Projects:DTIModeling|Fiber Tract Modeling, Clustering, and Quantitative Analysis]] ==&lt;br /&gt;
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The goal of this work is to model the shape of the fiber bundles and use this model description in clustering and statistical analysis of fiber tracts. [[Projects:DTIModeling|More...]]&lt;br /&gt;
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| | [[Image:Progress_Registration_Segmentation_Shape.jpg|180px]]&lt;br /&gt;
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== [[Projects:ShapeBasedSegmentationAndRegistration|Shape Based Segmentation and Registration]] ==&lt;br /&gt;
&lt;br /&gt;
This type of algorithm assigns a tissue type to each voxel in the volume. Incorporating prior shape information biases the label assignment towards contiguous regions that are consistent with the shape model. [[Projects:ShapeBasedSegmentationAndRegistration|More...]]&lt;br /&gt;
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| | [[Image:MIT_DTI_JointSegReg_atlas3D.jpg|200px]]&lt;br /&gt;
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== [[Projects:DTIFiberRegistration|Joint Registration and Segmentation of DWI Fiber Tractography]] ==&lt;br /&gt;
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The goal of this work is to jointly register and cluster DWI fiber tracts obtained from a group of subjects. [[Projects:DTIFiberRegistration|More...]]&lt;br /&gt;
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| | [[Image:brain.png|200px]]&lt;br /&gt;
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== [[Projects:DTIClustering|DTI Fiber Clustering and Fiber-Based Analysis]] ==&lt;br /&gt;
&lt;br /&gt;
The goal of this project is to provide structural description of the white matter architecture as a partition into coherent fiber bundles and clusters, and to use these bundles for quantitative measurement. [[Projects:DTIClustering|More...]]&lt;br /&gt;
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== [[Projects:fMRIDetection|fMRI Detection and Analysis]] ==&lt;br /&gt;
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We are exploring algorithms for improved fMRI detection and interpretation by incorporting spatial priors and anatomical information to guide the detection. [[Projects:fMRIDetection|More...]]&lt;br /&gt;
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&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt; W. Ou, W.M. Wells III, and P. Golland. Combining Spatial Priors and Anatomical Information for fMRI Detection. Medical Image Analysis, 14(3):318-331, 2010.&lt;br /&gt;
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| | [[Image:Thalamus_algo_outline.png|200px]]&lt;br /&gt;
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== [[Projects:DTISegmentation|DTI-based Segmentation]] ==&lt;br /&gt;
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Unlike conventional MRI, DTI provides adequate contrast to segment the thalamic nuclei, which are gray matter structures. [[Projects:DTISegmentation|More...]]&lt;br /&gt;
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== [[Projects:DTIStochasticTractography|Stochastic Tractography]] ==&lt;br /&gt;
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This work calculates posterior distributions of white matter fiber tract parameters given diffusion observations in a DWI volume.  [[Projects:DTIStochasticTractography|More...]]&lt;br /&gt;
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| | [[Image:HippocampalShapeDifferences.gif|200px]]&lt;br /&gt;
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== [[Projects:ShapeAnalysis|Population Analysis of Anatomical Variability]] ==&lt;br /&gt;
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Our goal is to develop mathematical approaches to modeling anatomical variability within and across populations using tools like local shape descriptors of specific regions of interest and global constellation descriptors of multiple ROI's. [[Projects:ShapeAnalysis|More...]]&lt;br /&gt;
&lt;br /&gt;
|}&lt;/div&gt;</summary>
		<author><name>Langs</name></author>
		
	</entry>
	<entry>
		<id>https://www.na-mic.org/w/index.php?title=Algorithm:MIT&amp;diff=65886</id>
		<title>Algorithm:MIT</title>
		<link rel="alternate" type="text/html" href="https://www.na-mic.org/w/index.php?title=Algorithm:MIT&amp;diff=65886"/>
		<updated>2011-03-30T21:09:25Z</updated>

		<summary type="html">&lt;p&gt;Langs: /*  Functional connectivity atlases and tumors */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt; Back to [[Algorithm:Main|NA-MIC Algorithms]]&lt;br /&gt;
__NOTOC__&lt;br /&gt;
= Overview of MIT Algorithms (PI: Polina Golland) =&lt;br /&gt;
&lt;br /&gt;
Our group seeks to model statistical variability of anatomy and function across subjects and between populations and to utilize computational models of such variability to improve predictions for individual subjects, as well as characterize populations. Our long-term goal is to develop methods for joint modeling of anatomy and function and to apply them in clinical and scientific studies. We work primarily with anatomical, DTI and fMRI images. We actively contribute implementations of our algorithms to the NAMIC-kit.&lt;br /&gt;
&lt;br /&gt;
= MIT Projects =&lt;br /&gt;
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{| cellpadding=&amp;quot;10&amp;quot; style=&amp;quot;text-align:left;&amp;quot;&lt;br /&gt;
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== [[Projects:NerveSegmentation| Nerve Segmentation]] ==&lt;br /&gt;
Placeholder&lt;br /&gt;
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== [[Projects:ConnectivityAtlas| Functional connectivity atlases and tumors]] ==&lt;br /&gt;
Placeholder&lt;br /&gt;
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[[Projects:ConnectivityAtlas|More...]]&lt;br /&gt;
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&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt; . &lt;br /&gt;
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== [[Projects:NonparametricSegmentation| Nonparametric Models for Supervised Image Segmentation]] ==&lt;br /&gt;
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We propose a non-parametric, probabilistic model for the automatic segmentation of medical images,&lt;br /&gt;
given a training set of images and corresponding label maps. The resulting inference algorithms we&lt;br /&gt;
develop rely on pairwise registrations between the test image and individual training images. The&lt;br /&gt;
training labels are then transferred to the test image and fused to compute a final segmentation of&lt;br /&gt;
the test subject. [[Projects:NonparametricSegmentation|More...]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt; M.R. Sabuncu, B.T.T Yeo, K. Van Leemput, B. Fischl, and P. Golland. A Generative Model for Image Segmentation Based on Label Fusion.  IEEE Transactions on Medical Imaging, 29(10):1714-1729, 2010. &lt;br /&gt;
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== [[Projects:LatentAtlasSegmentation|Joint Segmentation of Image Ensembles via Latent Atlases]] ==&lt;br /&gt;
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Spatial priors, such as probabilistic atlases, play an important role in MRI segmentation. The atlases are typically generated by averaging manual labels of aligned brain regions across different subjects. However, the availability of comprehensive, reliable and suitable manual segmentations is limited. We therefore propose a joint segmentation of corresponding, aligned structures in the entire population that does not require a probability atlas. &lt;br /&gt;
[[Projects:LatentAtlasSegmentation|More...]]&lt;br /&gt;
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&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt;  T. Riklin Raviv, K. Van-Leemput, B.M. Menze, W.M. Wells III, and P. Golland. Joint Segmentation of Image Ensembles via Latent Atlases, Special Issue of Medical Image Analysis (MedIA), 14(5):654-665, 2010. &lt;br /&gt;
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|| [[Image:Mdepa_MDE_scar_seg_3D.png| 250px]]&lt;br /&gt;
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== [[Projects:AblationScarSegmentation | Cardiac Ablation Scar Segmentation]] ==&lt;br /&gt;
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Catheter radio-frequency (RF) ablation is a technique used to treat atrial fibrillation, a very common heart condition. The objective of this project is to automatically segment the scar created by RF ablation in delayed enhancement MR images acquired after the procedure. This will then provide surgeons with a visualization which will help them to rapidly evaluate the success of the procedure.&lt;br /&gt;
[[Projects:AblationScarSegmentation|More...]]&lt;br /&gt;
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&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt; M. Depa, M.R. Sabuncu, G. Holmvang, R. Nezafat, E.J. Schmidt, and P. Golland. Robust Atlas-Based Segmentation of Highly Variable Anatomy: Left Atrium Segmentation. In Proc. of MICCAI Workshop on Statistical Atlases and Computational Models of the Heart: Mapping Structure and Function, LNCS 6364:85-94, 2010. &lt;br /&gt;
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== [[Projects:TumorModeling|Brain Tumor Segmentation and Modeling]] ==&lt;br /&gt;
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We are interested in developing computational methods for the assimilation of magnetic resonance image data into physiological models of glioma - the most frequent primary brain tumor - for a patient-adaptive modeling of tumor growth. [[Projects:TumorModeling|More...]]&lt;br /&gt;
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&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt; Menze BH, Van Leemput K, Honkela A, Konukoglu E, Weber MA, Ayache N and Golland P. A generative approach for image-based modeling of tumor growth. Proc IPMI 2011. LNCS. 12p&lt;br /&gt;
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{| cellpadding=&amp;quot;10&amp;quot; style=&amp;quot;text-align:left;&amp;quot;&lt;br /&gt;
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== [[Projects:LearningRegistrationCostFunctions| Learning Task-Optimal Registration Cost Functions]] ==&lt;br /&gt;
&lt;br /&gt;
We present a framework for learning the parameters of registration cost functions. The parameters of the registration cost function -- for example, the tradeoff between the image similarity and regularization terms -- are typically determined manually through inspection of the image alignment and then fixed for all applications. We propose a principled approach to learn these parameters with respect to particular applications. [[Projects:LearningRegistrationCostFunctions|More...]]&lt;br /&gt;
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&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt; B.T.T. Yeo, M.R. Sabuncu, T. Vercauteren, D. Holt, K. Amunts, K. Zilles, P. Golland, and B. Fischl. Learning Task-Optimal Registration Cost Functions for Localizing Cytoarchitecture and Function in the Cerebral Cortex. IEEE Transactions on Medical Imaging, 29(7):1424-1441, 2010. &lt;br /&gt;
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| | [[Image:CoordinateChart.png|250px]]&lt;br /&gt;
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== [[Projects:SphericalDemons|Spherical Demons: Fast Surface Registration]] ==&lt;br /&gt;
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We present the fast Spherical Demons algorithm for registering two spherical images. By exploiting spherical vector spline interpolation theory, we show that a large class of regularizers for the modified demons objective function can be efficiently approximated on the sphere using convolution. Based on the one parameter subgroups of diffeomorphisms, [[Projects:SphericalDemons|More...]]&lt;br /&gt;
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&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt; B.T.T. Yeo, M.R. Sabuncu, T. Vercauteren, N. Ayache, B. Fischl and P. Golland. Spherical Demons: Fast Diffeomorphic Landmark-Free Surface Registration. IEEE Transactions on Medical Imaging, 29(3):650-668, 2010.&lt;br /&gt;
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| | [[Image:epi_correction_small.jpg|200px]]&lt;br /&gt;
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== [[Projects:FieldmapFreeDistortionCorrection|Fieldmap-Free EPI Distortion Correction]] ==&lt;br /&gt;
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In this project we aim to improve the EPI distortion correction algorithms. [[Projects:FieldmapFreeDistortionCorrection|More...]]&lt;br /&gt;
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&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt;  Poynton C., Jenkinson M., Wells III W. Atlas-Based Improved Prediction of Magnetic Field Inhomogeneity for Distortion Correction of EPI Data. In Proc. MICCAI: International Conference on Medical Image Computing and Computer Assisted Intervention, LNCS 5761:951-959, 2009.&lt;br /&gt;
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== [[Projects:QuantitativeSusceptibilityMapping| Quantitative Susceptibility Mapping ]] ==&lt;br /&gt;
&lt;br /&gt;
There is increasing evidence that excessive iron deposition in specific regions&lt;br /&gt;
of the brain is associated with neurodegenerative disorders such as Alzheimer's&lt;br /&gt;
and Parkinson's disease. The role of iron in the pathogenesis of these diseases&lt;br /&gt;
remains unknown and is difficult to determine without a non-invasive method&lt;br /&gt;
to quantify its concentration in-vivo. Since iron is a ferromagnetic substance,&lt;br /&gt;
changes in iron concentration result in local changes in the magnetic susceptibility of tissue. &lt;br /&gt;
In magnetic resonance imaging (MRI) experiments, differences&lt;br /&gt;
in magnetic susceptibility cause perturbations in the local magnetic field, which&lt;br /&gt;
can be computed from the phase of the MR signal.[[Projects:QuantitativeSusceptibilityMapping|More...]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt;  Poynton C., Wells W. A Variational Approach to Susceptibility Estimation that is insensitive to B0 Inhomogeneity. In Proc. ISMRM: Int. Soc. of Magnetic Resonance in Medicine, 2011 (in press).&lt;br /&gt;
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| | [[Image:mit_fmri_clustering_parcellation2_xsub.png|200px]]&lt;br /&gt;
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== [[Projects:fMRIClustering|Improving fMRI Analysis using Supervised and Unsupervised Learning]] ==&lt;br /&gt;
&lt;br /&gt;
One of the major goals in the analysis of fMRI data is the detection of networks in the brain with similar functional behavior. A wide variety of methods including hypothesis-driven statistical tests, supervised, and unsupervised learning methods have been employed to find these networks. In this project, we develop novel learning algorithms that enable more efficient inferences from fMRI measurements.    [[Projects:fMRIClustering|More...]] &lt;br /&gt;
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&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt; G. Langs, Y. Tie, L. Rigolo, A.J. Golby, and P. Golland. Functional Geometry Alignment for Localization of Brain Areas. To appear in Proc. NIPS: Neural Information Processing Systems, 2010. &lt;br /&gt;
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&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt; A. Venkataraman, Y. Rathi, M. Kubicki, C-F. Westin and P. Golland.  Joint Generative Model for fMRI/DWI and its Application to Population Studies.  In Proc. MICCAI: International Conference on Medical Image Computing and Computer Assisted Intervention, LNCS 6361:191-199, 2010. &lt;br /&gt;
&lt;br /&gt;
&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt; D. Lashkari, E. Vul, N.G. Kanwisher, and P. Golland. Discovering structure in the space of fMRI selectivity profiles. NeuroImage, 3(15):1085-1098, 2010.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt; A. Venkataraman, M. Kubicki, C.-F. Westin, and P. Golland. Robust Feature Selection in Resting-State fMRI Connectivity Based on Population Studies. In Proc. MMBIA: IEEE Computer Society Workshop on Mathematical Methods in Biomedical Image Analysis, 2010.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt; D. Lashkari, R. Sridharan, E. Vul, P.-J. Hsieh, N. Kanwisher, and P. Golland. Nonparametric Hierarchical Bayesian Model for Functional Brain Parcellation. In Proc. MMBIA: IEEE Computer Society Workshop on Mathematical Methods in Biomedical Image Analysis, 2010.&lt;br /&gt;
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== [[Projects:BayesianMRSegmentation| Bayesian Segmentation of MRI Images]] ==&lt;br /&gt;
&lt;br /&gt;
The aim of this project is to develop, implement, and validate a generic method for segmenting MRI images that automatically adapts to different acquisition sequences. [[Projects:BayesianMRSegmentation|More...]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt; K. Van Leemput, A. Bakkour, T. Benner, G. Wiggins, L.L. Wald, J. Augustinack, B.C. Dickerson, P. Golland, and B. Fischl. Automated Segmentation of Hippocampal Subfields from Ultra-High Resolution In Vivo MRI. Hippocampus, 19:549-557, 2009. &lt;br /&gt;
&lt;br /&gt;
&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt; K. Van Leemput. Encoding Probabilistic Atlases Using Bayesian Inference. IEEE Transactions on Medical Imaging, 28(6):822-837, 2009.&lt;br /&gt;
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== [[Projects:MultimodalAtlas|Multimodal Atlas]] ==&lt;br /&gt;
&lt;br /&gt;
In this work, we propose and investigate an algorithm that jointly co-registers a collection of images while computing multiple templates. The algorithm, called '''iCluster''', is used to compute multiple atlases for a given population.&lt;br /&gt;
[[Projects:MultimodalAtlas|More...]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt; Image-driven Population Analysis through Mixture-Modeling, M.R. Sabuncu, S.K. Balci, M.E. Shenton and P. Golland. IEEE Transactions on Medical Imaging, 28(9):1473 - 1487, 2009.&lt;br /&gt;
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| | [[Image:GroupwiseSummary.PNG|200px]]&lt;br /&gt;
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== [[Projects:GroupwiseRegistration|Groupwise Registration]] ==&lt;br /&gt;
&lt;br /&gt;
We extend a previously demonstrated entropy based groupwise registration method to include a free-form deformation model based on B-splines. We provide an efficient implementation using stochastic gradient descents in a multi-resolution setting. We demonstrate the method in application to a set of 50 MRI brain scans and compare the results to a pairwise approach using segmentation labels to evaluate the quality of alignment.&lt;br /&gt;
&lt;br /&gt;
In a related project,  we develop a method that reconciles the practical advantages of symmetric registration with the asymmetric nature of image-template registration by adding a simple correction factor to the symmetric cost function. We instantiate our model within a log-domain diffeomorphic registration framework. Our experiments show exploiting the asymmetry in image-template registration improves alignment in the image coordinates. [[Projects:GroupwiseRegistration|More...]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt;  Asymmetric Image-Template Registration, M.R. Sabuncu, B.T. Thomas Yeo, T. Vercauteren, K. Van Leemput, P. Golland. In Proc. MICCAI: International Conference on Medical Image Computing and Computer Assisted Intervention, LNCS 5761:565-573, 2009.&lt;br /&gt;
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| | [[Image:JointRegSeg.png|200px]]&lt;br /&gt;
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== [[Projects:RegistrationRegularization|Optimal Atlas Regularization in Image Segmentation]] ==&lt;br /&gt;
&lt;br /&gt;
We propose a unified framework for computing atlases from manually labeled data sets at various degrees of “sharpness” and the joint registration and segmentation of a new brain with these atlases. Using this framework, we investigate the tradeoff between warp regularization and image ﬁdelity, i.e. the smoothness of the new subject warp and the sharpness of the atlas in a segmentation application.&lt;br /&gt;
[[Projects:RegistrationRegularization|More...]]&lt;br /&gt;
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| | [[Image:FoldingSpeedDetection.png|150px|]]&lt;br /&gt;
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== [[Projects:ShapeAnalysisWithOvercompleteWavelets|Shape Analysis With Overcomplete Wavelets]] ==&lt;br /&gt;
&lt;br /&gt;
In this work, we extend the Euclidean wavelets to the sphere. The resulting over-complete spherical wavelets are invariant to the rotation of the spherical image parameterization. We apply the over-complete spherical wavelet to cortical folding development [[Projects:ShapeAnalysisWithOvercompleteWavelets|More...]]&lt;br /&gt;
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== [[Projects:DTIModeling|Fiber Tract Modeling, Clustering, and Quantitative Analysis]] ==&lt;br /&gt;
&lt;br /&gt;
The goal of this work is to model the shape of the fiber bundles and use this model description in clustering and statistical analysis of fiber tracts. [[Projects:DTIModeling|More...]]&lt;br /&gt;
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|-&lt;br /&gt;
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| | [[Image:Progress_Registration_Segmentation_Shape.jpg|180px]]&lt;br /&gt;
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== [[Projects:ShapeBasedSegmentationAndRegistration|Shape Based Segmentation and Registration]] ==&lt;br /&gt;
&lt;br /&gt;
This type of algorithm assigns a tissue type to each voxel in the volume. Incorporating prior shape information biases the label assignment towards contiguous regions that are consistent with the shape model. [[Projects:ShapeBasedSegmentationAndRegistration|More...]]&lt;br /&gt;
&lt;br /&gt;
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|-&lt;br /&gt;
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| | [[Image:MIT_DTI_JointSegReg_atlas3D.jpg|200px]]&lt;br /&gt;
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== [[Projects:DTIFiberRegistration|Joint Registration and Segmentation of DWI Fiber Tractography]] ==&lt;br /&gt;
&lt;br /&gt;
The goal of this work is to jointly register and cluster DWI fiber tracts obtained from a group of subjects. [[Projects:DTIFiberRegistration|More...]]&lt;br /&gt;
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| | [[Image:brain.png|200px]]&lt;br /&gt;
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== [[Projects:DTIClustering|DTI Fiber Clustering and Fiber-Based Analysis]] ==&lt;br /&gt;
&lt;br /&gt;
The goal of this project is to provide structural description of the white matter architecture as a partition into coherent fiber bundles and clusters, and to use these bundles for quantitative measurement. [[Projects:DTIClustering|More...]]&lt;br /&gt;
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| | [[Image:FMRIEvaluationchart.jpg|200px]]&lt;br /&gt;
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== [[Projects:fMRIDetection|fMRI Detection and Analysis]] ==&lt;br /&gt;
&lt;br /&gt;
We are exploring algorithms for improved fMRI detection and interpretation by incorporting spatial priors and anatomical information to guide the detection. [[Projects:fMRIDetection|More...]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt; W. Ou, W.M. Wells III, and P. Golland. Combining Spatial Priors and Anatomical Information for fMRI Detection. Medical Image Analysis, 14(3):318-331, 2010.&lt;br /&gt;
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| | [[Image:Thalamus_algo_outline.png|200px]]&lt;br /&gt;
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== [[Projects:DTISegmentation|DTI-based Segmentation]] ==&lt;br /&gt;
&lt;br /&gt;
Unlike conventional MRI, DTI provides adequate contrast to segment the thalamic nuclei, which are gray matter structures. [[Projects:DTISegmentation|More...]]&lt;br /&gt;
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== [[Projects:DTIStochasticTractography|Stochastic Tractography]] ==&lt;br /&gt;
&lt;br /&gt;
This work calculates posterior distributions of white matter fiber tract parameters given diffusion observations in a DWI volume.  [[Projects:DTIStochasticTractography|More...]]&lt;br /&gt;
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| | [[Image:HippocampalShapeDifferences.gif|200px]]&lt;br /&gt;
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== [[Projects:ShapeAnalysis|Population Analysis of Anatomical Variability]] ==&lt;br /&gt;
&lt;br /&gt;
Our goal is to develop mathematical approaches to modeling anatomical variability within and across populations using tools like local shape descriptors of specific regions of interest and global constellation descriptors of multiple ROI's. [[Projects:ShapeAnalysis|More...]]&lt;br /&gt;
&lt;br /&gt;
|}&lt;/div&gt;</summary>
		<author><name>Langs</name></author>
		
	</entry>
	<entry>
		<id>https://www.na-mic.org/w/index.php?title=File:Atlas_OneCluster.png&amp;diff=65883</id>
		<title>File:Atlas OneCluster.png</title>
		<link rel="alternate" type="text/html" href="https://www.na-mic.org/w/index.php?title=File:Atlas_OneCluster.png&amp;diff=65883"/>
		<updated>2011-03-30T21:07:46Z</updated>

		<summary type="html">&lt;p&gt;Langs: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Langs</name></author>
		
	</entry>
	<entry>
		<id>https://www.na-mic.org/w/index.php?title=Projects:ConnectivityAtlas&amp;diff=65878</id>
		<title>Projects:ConnectivityAtlas</title>
		<link rel="alternate" type="text/html" href="https://www.na-mic.org/w/index.php?title=Projects:ConnectivityAtlas&amp;diff=65878"/>
		<updated>2011-03-30T21:05:20Z</updated>

		<summary type="html">&lt;p&gt;Langs: Created page with ' Back to NA-MIC Collaborations, MIT Algorithms, __NOTOC__ = Atlas building = this and that  = Descrip…'&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt; Back to [[NA-MIC_Internal_Collaborations:StructuralImageAnalysis|NA-MIC Collaborations]], [[Algorithm:MIT|MIT Algorithms]],&lt;br /&gt;
__NOTOC__&lt;br /&gt;
= Atlas building =&lt;br /&gt;
this and that&lt;br /&gt;
&lt;br /&gt;
= Description =&lt;br /&gt;
this and that&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
== Experiments ==&lt;br /&gt;
&lt;br /&gt;
== Conclusion ==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
== Literature ==&lt;br /&gt;
[1] X. Artaechevarria, A. Munoz-Barrutia, and C. Ortiz de Solorzano. Combination strategies in multi-atlas image segmentation:&lt;br /&gt;
Application to brain MR data. IEEE Tran. Med. Imaging, 28(8):1266 – 1277, 2009.&lt;br /&gt;
&lt;br /&gt;
[2] R.A. Heckemann, J.V. Hajnal, P. Aljabar, D. Rueckert, and A. Hammers. Automatic anatomical brain MRI segmentation&lt;br /&gt;
combining label propagation and decision fusion. Neuroimage, 33(1):115–126, 2006.&lt;br /&gt;
&lt;br /&gt;
[3] T. Rohlfing, R. Brandt, R. Menzel, and C.R. Maurer. Evaluation of atlas selection strategies for atlas-based image&lt;br /&gt;
segmentation with application to confocal microscopy images of bee brains. NeuroImage, 21(4):1428–1442, 2004.&lt;br /&gt;
&lt;br /&gt;
[4] Freesurfer Wiki. http://surfer.nmr.mgh.harvard.edu.&lt;br /&gt;
&lt;br /&gt;
= Key Investigators =&lt;br /&gt;
&lt;br /&gt;
*MIT: Georg Langs, Andy Sweet, Danial Lashkari, Polina Golland&lt;br /&gt;
*Harvard: Yanmei Tie, Laura Rigolo, Alexandra Golby&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
= Publications =&lt;br /&gt;
&lt;br /&gt;
[http://www.na-mic.org/publications/pages/display?search=Projects%3ANonparametricSegmentation&amp;amp;submit=Search&amp;amp;words=all&amp;amp;title=checked&amp;amp;keywords=checked&amp;amp;authors=checked&amp;amp;abstract=checked&amp;amp;sponsors=checked&amp;amp;searchbytag=checked| NA-MIC Publications Database on Nonparametric Models for Supervised Image Segmentation]&lt;/div&gt;</summary>
		<author><name>Langs</name></author>
		
	</entry>
	<entry>
		<id>https://www.na-mic.org/w/index.php?title=Algorithm:MIT&amp;diff=65876</id>
		<title>Algorithm:MIT</title>
		<link rel="alternate" type="text/html" href="https://www.na-mic.org/w/index.php?title=Algorithm:MIT&amp;diff=65876"/>
		<updated>2011-03-30T21:02:23Z</updated>

		<summary type="html">&lt;p&gt;Langs: /* MIT Projects */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt; Back to [[Algorithm:Main|NA-MIC Algorithms]]&lt;br /&gt;
__NOTOC__&lt;br /&gt;
= Overview of MIT Algorithms (PI: Polina Golland) =&lt;br /&gt;
&lt;br /&gt;
Our group seeks to model statistical variability of anatomy and function across subjects and between populations and to utilize computational models of such variability to improve predictions for individual subjects, as well as characterize populations. Our long-term goal is to develop methods for joint modeling of anatomy and function and to apply them in clinical and scientific studies. We work primarily with anatomical, DTI and fMRI images. We actively contribute implementations of our algorithms to the NAMIC-kit.&lt;br /&gt;
&lt;br /&gt;
= MIT Projects =&lt;br /&gt;
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{| cellpadding=&amp;quot;10&amp;quot; style=&amp;quot;text-align:left;&amp;quot;&lt;br /&gt;
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== [[Projects:ConnectivityAtlas| Functional connectivity atlases and tumors]] ==&lt;br /&gt;
Placeholder&lt;br /&gt;
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== [[Projects:NonparametricSegmentation| Nonparametric Models for Supervised Image Segmentation]] ==&lt;br /&gt;
&lt;br /&gt;
We propose a non-parametric, probabilistic model for the automatic segmentation of medical images,&lt;br /&gt;
given a training set of images and corresponding label maps. The resulting inference algorithms we&lt;br /&gt;
develop rely on pairwise registrations between the test image and individual training images. The&lt;br /&gt;
training labels are then transferred to the test image and fused to compute a final segmentation of&lt;br /&gt;
the test subject. [[Projects:NonparametricSegmentation|More...]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt; M.R. Sabuncu, B.T.T Yeo, K. Van Leemput, B. Fischl, and P. Golland. A Generative Model for Image Segmentation Based on Label Fusion.  IEEE Transactions on Medical Imaging, 29(10):1714-1729, 2010. &lt;br /&gt;
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== [[Projects:LatentAtlasSegmentation|Joint Segmentation of Image Ensembles via Latent Atlases]] ==&lt;br /&gt;
&lt;br /&gt;
Spatial priors, such as probabilistic atlases, play an important role in MRI segmentation. The atlases are typically generated by averaging manual labels of aligned brain regions across different subjects. However, the availability of comprehensive, reliable and suitable manual segmentations is limited. We therefore propose a joint segmentation of corresponding, aligned structures in the entire population that does not require a probability atlas. &lt;br /&gt;
[[Projects:LatentAtlasSegmentation|More...]]&lt;br /&gt;
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&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt;  T. Riklin Raviv, K. Van-Leemput, B.M. Menze, W.M. Wells III, and P. Golland. Joint Segmentation of Image Ensembles via Latent Atlases, Special Issue of Medical Image Analysis (MedIA), 14(5):654-665, 2010. &lt;br /&gt;
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|| [[Image:Mdepa_MDE_scar_seg_3D.png| 250px]]&lt;br /&gt;
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== [[Projects:AblationScarSegmentation | Cardiac Ablation Scar Segmentation]] ==&lt;br /&gt;
&lt;br /&gt;
Catheter radio-frequency (RF) ablation is a technique used to treat atrial fibrillation, a very common heart condition. The objective of this project is to automatically segment the scar created by RF ablation in delayed enhancement MR images acquired after the procedure. This will then provide surgeons with a visualization which will help them to rapidly evaluate the success of the procedure.&lt;br /&gt;
[[Projects:AblationScarSegmentation|More...]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt; M. Depa, M.R. Sabuncu, G. Holmvang, R. Nezafat, E.J. Schmidt, and P. Golland. Robust Atlas-Based Segmentation of Highly Variable Anatomy: Left Atrium Segmentation. In Proc. of MICCAI Workshop on Statistical Atlases and Computational Models of the Heart: Mapping Structure and Function, LNCS 6364:85-94, 2010. &lt;br /&gt;
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| | [[Image:Tumor_model.jpg‎|center|150px]]&lt;br /&gt;
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== [[Projects:TumorModeling|Brain Tumor Segmentation and Modeling]] ==&lt;br /&gt;
&lt;br /&gt;
We are interested in developing computational methods for the assimilation of magnetic resonance image data into physiological models of glioma - the most frequent primary brain tumor - for a patient-adaptive modeling of tumor growth. [[Projects:TumorModeling|More...]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt; Menze BH, Van Leemput K, Honkela A, Konukoglu E, Weber MA, Ayache N and Golland P. A generative approach for image-based modeling of tumor growth. Proc IPMI 2011. LNCS. 12p&lt;br /&gt;
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|-&lt;br /&gt;
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{| cellpadding=&amp;quot;10&amp;quot; style=&amp;quot;text-align:left;&amp;quot;&lt;br /&gt;
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== [[Projects:LearningRegistrationCostFunctions| Learning Task-Optimal Registration Cost Functions]] ==&lt;br /&gt;
&lt;br /&gt;
We present a framework for learning the parameters of registration cost functions. The parameters of the registration cost function -- for example, the tradeoff between the image similarity and regularization terms -- are typically determined manually through inspection of the image alignment and then fixed for all applications. We propose a principled approach to learn these parameters with respect to particular applications. [[Projects:LearningRegistrationCostFunctions|More...]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt; B.T.T. Yeo, M.R. Sabuncu, T. Vercauteren, D. Holt, K. Amunts, K. Zilles, P. Golland, and B. Fischl. Learning Task-Optimal Registration Cost Functions for Localizing Cytoarchitecture and Function in the Cerebral Cortex. IEEE Transactions on Medical Imaging, 29(7):1424-1441, 2010. &lt;br /&gt;
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|-&lt;br /&gt;
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| | [[Image:CoordinateChart.png|250px]]&lt;br /&gt;
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== [[Projects:SphericalDemons|Spherical Demons: Fast Surface Registration]] ==&lt;br /&gt;
&lt;br /&gt;
We present the fast Spherical Demons algorithm for registering two spherical images. By exploiting spherical vector spline interpolation theory, we show that a large class of regularizers for the modified demons objective function can be efficiently approximated on the sphere using convolution. Based on the one parameter subgroups of diffeomorphisms, [[Projects:SphericalDemons|More...]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt; B.T.T. Yeo, M.R. Sabuncu, T. Vercauteren, N. Ayache, B. Fischl and P. Golland. Spherical Demons: Fast Diffeomorphic Landmark-Free Surface Registration. IEEE Transactions on Medical Imaging, 29(3):650-668, 2010.&lt;br /&gt;
&lt;br /&gt;
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|-&lt;br /&gt;
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| | [[Image:epi_correction_small.jpg|200px]]&lt;br /&gt;
| |&lt;br /&gt;
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== [[Projects:FieldmapFreeDistortionCorrection|Fieldmap-Free EPI Distortion Correction]] ==&lt;br /&gt;
&lt;br /&gt;
In this project we aim to improve the EPI distortion correction algorithms. [[Projects:FieldmapFreeDistortionCorrection|More...]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt;  Poynton C., Jenkinson M., Wells III W. Atlas-Based Improved Prediction of Magnetic Field Inhomogeneity for Distortion Correction of EPI Data. In Proc. MICCAI: International Conference on Medical Image Computing and Computer Assisted Intervention, LNCS 5761:951-959, 2009.&lt;br /&gt;
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|-&lt;br /&gt;
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| | [[Image:Namic wiki.png|200px]]&lt;br /&gt;
| |&lt;br /&gt;
&lt;br /&gt;
== [[Projects:QuantitativeSusceptibilityMapping| Quantitative Susceptibility Mapping ]] ==&lt;br /&gt;
&lt;br /&gt;
There is increasing evidence that excessive iron deposition in specific regions&lt;br /&gt;
of the brain is associated with neurodegenerative disorders such as Alzheimer's&lt;br /&gt;
and Parkinson's disease. The role of iron in the pathogenesis of these diseases&lt;br /&gt;
remains unknown and is difficult to determine without a non-invasive method&lt;br /&gt;
to quantify its concentration in-vivo. Since iron is a ferromagnetic substance,&lt;br /&gt;
changes in iron concentration result in local changes in the magnetic susceptibility of tissue. &lt;br /&gt;
In magnetic resonance imaging (MRI) experiments, differences&lt;br /&gt;
in magnetic susceptibility cause perturbations in the local magnetic field, which&lt;br /&gt;
can be computed from the phase of the MR signal.[[Projects:QuantitativeSusceptibilityMapping|More...]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt;  Poynton C., Wells W. A Variational Approach to Susceptibility Estimation that is insensitive to B0 Inhomogeneity. In Proc. ISMRM: Int. Soc. of Magnetic Resonance in Medicine, 2011 (in press).&lt;br /&gt;
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|-&lt;br /&gt;
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| | [[Image:mit_fmri_clustering_parcellation2_xsub.png|200px]]&lt;br /&gt;
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== [[Projects:fMRIClustering|Improving fMRI Analysis using Supervised and Unsupervised Learning]] ==&lt;br /&gt;
&lt;br /&gt;
One of the major goals in the analysis of fMRI data is the detection of networks in the brain with similar functional behavior. A wide variety of methods including hypothesis-driven statistical tests, supervised, and unsupervised learning methods have been employed to find these networks. In this project, we develop novel learning algorithms that enable more efficient inferences from fMRI measurements.    [[Projects:fMRIClustering|More...]] &lt;br /&gt;
&lt;br /&gt;
&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt; G. Langs, Y. Tie, L. Rigolo, A.J. Golby, and P. Golland. Functional Geometry Alignment for Localization of Brain Areas. To appear in Proc. NIPS: Neural Information Processing Systems, 2010. &lt;br /&gt;
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&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt; A. Venkataraman, Y. Rathi, M. Kubicki, C-F. Westin and P. Golland.  Joint Generative Model for fMRI/DWI and its Application to Population Studies.  In Proc. MICCAI: International Conference on Medical Image Computing and Computer Assisted Intervention, LNCS 6361:191-199, 2010. &lt;br /&gt;
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&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt; D. Lashkari, E. Vul, N.G. Kanwisher, and P. Golland. Discovering structure in the space of fMRI selectivity profiles. NeuroImage, 3(15):1085-1098, 2010.&lt;br /&gt;
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&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt; A. Venkataraman, M. Kubicki, C.-F. Westin, and P. Golland. Robust Feature Selection in Resting-State fMRI Connectivity Based on Population Studies. In Proc. MMBIA: IEEE Computer Society Workshop on Mathematical Methods in Biomedical Image Analysis, 2010.&lt;br /&gt;
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&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt; D. Lashkari, R. Sridharan, E. Vul, P.-J. Hsieh, N. Kanwisher, and P. Golland. Nonparametric Hierarchical Bayesian Model for Functional Brain Parcellation. In Proc. MMBIA: IEEE Computer Society Workshop on Mathematical Methods in Biomedical Image Analysis, 2010.&lt;br /&gt;
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== [[Projects:BayesianMRSegmentation| Bayesian Segmentation of MRI Images]] ==&lt;br /&gt;
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The aim of this project is to develop, implement, and validate a generic method for segmenting MRI images that automatically adapts to different acquisition sequences. [[Projects:BayesianMRSegmentation|More...]]&lt;br /&gt;
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&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt; K. Van Leemput, A. Bakkour, T. Benner, G. Wiggins, L.L. Wald, J. Augustinack, B.C. Dickerson, P. Golland, and B. Fischl. Automated Segmentation of Hippocampal Subfields from Ultra-High Resolution In Vivo MRI. Hippocampus, 19:549-557, 2009. &lt;br /&gt;
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&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt; K. Van Leemput. Encoding Probabilistic Atlases Using Bayesian Inference. IEEE Transactions on Medical Imaging, 28(6):822-837, 2009.&lt;br /&gt;
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== [[Projects:MultimodalAtlas|Multimodal Atlas]] ==&lt;br /&gt;
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In this work, we propose and investigate an algorithm that jointly co-registers a collection of images while computing multiple templates. The algorithm, called '''iCluster''', is used to compute multiple atlases for a given population.&lt;br /&gt;
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&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt; Image-driven Population Analysis through Mixture-Modeling, M.R. Sabuncu, S.K. Balci, M.E. Shenton and P. Golland. IEEE Transactions on Medical Imaging, 28(9):1473 - 1487, 2009.&lt;br /&gt;
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== [[Projects:GroupwiseRegistration|Groupwise Registration]] ==&lt;br /&gt;
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We extend a previously demonstrated entropy based groupwise registration method to include a free-form deformation model based on B-splines. We provide an efficient implementation using stochastic gradient descents in a multi-resolution setting. We demonstrate the method in application to a set of 50 MRI brain scans and compare the results to a pairwise approach using segmentation labels to evaluate the quality of alignment.&lt;br /&gt;
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In a related project,  we develop a method that reconciles the practical advantages of symmetric registration with the asymmetric nature of image-template registration by adding a simple correction factor to the symmetric cost function. We instantiate our model within a log-domain diffeomorphic registration framework. Our experiments show exploiting the asymmetry in image-template registration improves alignment in the image coordinates. [[Projects:GroupwiseRegistration|More...]]&lt;br /&gt;
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&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt;  Asymmetric Image-Template Registration, M.R. Sabuncu, B.T. Thomas Yeo, T. Vercauteren, K. Van Leemput, P. Golland. In Proc. MICCAI: International Conference on Medical Image Computing and Computer Assisted Intervention, LNCS 5761:565-573, 2009.&lt;br /&gt;
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== [[Projects:RegistrationRegularization|Optimal Atlas Regularization in Image Segmentation]] ==&lt;br /&gt;
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We propose a unified framework for computing atlases from manually labeled data sets at various degrees of “sharpness” and the joint registration and segmentation of a new brain with these atlases. Using this framework, we investigate the tradeoff between warp regularization and image ﬁdelity, i.e. the smoothness of the new subject warp and the sharpness of the atlas in a segmentation application.&lt;br /&gt;
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== [[Projects:ShapeAnalysisWithOvercompleteWavelets|Shape Analysis With Overcomplete Wavelets]] ==&lt;br /&gt;
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In this work, we extend the Euclidean wavelets to the sphere. The resulting over-complete spherical wavelets are invariant to the rotation of the spherical image parameterization. We apply the over-complete spherical wavelet to cortical folding development [[Projects:ShapeAnalysisWithOvercompleteWavelets|More...]]&lt;br /&gt;
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== [[Projects:DTIModeling|Fiber Tract Modeling, Clustering, and Quantitative Analysis]] ==&lt;br /&gt;
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The goal of this work is to model the shape of the fiber bundles and use this model description in clustering and statistical analysis of fiber tracts. [[Projects:DTIModeling|More...]]&lt;br /&gt;
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== [[Projects:ShapeBasedSegmentationAndRegistration|Shape Based Segmentation and Registration]] ==&lt;br /&gt;
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This type of algorithm assigns a tissue type to each voxel in the volume. Incorporating prior shape information biases the label assignment towards contiguous regions that are consistent with the shape model. [[Projects:ShapeBasedSegmentationAndRegistration|More...]]&lt;br /&gt;
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== [[Projects:DTIFiberRegistration|Joint Registration and Segmentation of DWI Fiber Tractography]] ==&lt;br /&gt;
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The goal of this work is to jointly register and cluster DWI fiber tracts obtained from a group of subjects. [[Projects:DTIFiberRegistration|More...]]&lt;br /&gt;
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== [[Projects:DTIClustering|DTI Fiber Clustering and Fiber-Based Analysis]] ==&lt;br /&gt;
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The goal of this project is to provide structural description of the white matter architecture as a partition into coherent fiber bundles and clusters, and to use these bundles for quantitative measurement. [[Projects:DTIClustering|More...]]&lt;br /&gt;
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== [[Projects:fMRIDetection|fMRI Detection and Analysis]] ==&lt;br /&gt;
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We are exploring algorithms for improved fMRI detection and interpretation by incorporting spatial priors and anatomical information to guide the detection. [[Projects:fMRIDetection|More...]]&lt;br /&gt;
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&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;'''New: '''&amp;lt;/font&amp;gt; W. Ou, W.M. Wells III, and P. Golland. Combining Spatial Priors and Anatomical Information for fMRI Detection. Medical Image Analysis, 14(3):318-331, 2010.&lt;br /&gt;
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== [[Projects:DTISegmentation|DTI-based Segmentation]] ==&lt;br /&gt;
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Unlike conventional MRI, DTI provides adequate contrast to segment the thalamic nuclei, which are gray matter structures. [[Projects:DTISegmentation|More...]]&lt;br /&gt;
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== [[Projects:DTIStochasticTractography|Stochastic Tractography]] ==&lt;br /&gt;
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This work calculates posterior distributions of white matter fiber tract parameters given diffusion observations in a DWI volume.  [[Projects:DTIStochasticTractography|More...]]&lt;br /&gt;
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== [[Projects:ShapeAnalysis|Population Analysis of Anatomical Variability]] ==&lt;br /&gt;
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Our goal is to develop mathematical approaches to modeling anatomical variability within and across populations using tools like local shape descriptors of specific regions of interest and global constellation descriptors of multiple ROI's. [[Projects:ShapeAnalysis|More...]]&lt;br /&gt;
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|}&lt;/div&gt;</summary>
		<author><name>Langs</name></author>
		
	</entry>
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