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Deformation-Invariant Sparse Coding for Modeling Spatial Variability of Functional Patterns Deformation-Invariant Sparse Coding for Modeling Spatial Variability of Functional Patterns

Deformation-Invariant Sparse Coding for Modeling Spatial Variability of Functional Patterns - PowerPoint Presentation

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Deformation-Invariant Sparse Coding for Modeling Spatial Variability of Functional Patterns - PPT Presentation

George Chen Evelina Fedorenko Nancy Kanwisher Polina Golland 12162011 NIPS MLINI Workshop 2011 1 Talk Outline Finding correspondences between functional regions in the brain ID: 1048178

level group mlini workshop group level workshop mlini 2011nips fmri functional parcels parcel model estimated deformations variability analysis language

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1. Deformation-Invariant Sparse Coding for Modeling Spatial Variability of Functional Patterns in the BrainGeorge Chen, Evelina Fedorenko, Nancy Kanwisher, Polina Golland12/16/2011NIPS MLINI Workshop 20111

2. Talk OutlineFinding correspondences between functional regions in the brainA new generative modelResults for language fMRI study12/16/2011NIPS MLINI Workshop 20112

3. Functional Region Correspondences12/16/2011NIPS MLINI Workshop 20113Given stimulus, get functional activation regionsSubject 1Subject 2Align to common anatomical spaceFunctional variability!Goal: Find correspondences between “parcels” contiguous region in braingroup-level parcelsParcel: contiguous region in brainBiology:brain compartmentalized into functional modules parcels represent these modules

4. Functional VariabilityStandard approach: just average in common anatomical space12/16/2011NIPS MLINI Workshop 20114Functional variability  less pronounced activation in group averagespaceSubject 1Subject 2spaceAveragespaceAlignedspace

5. Previous WorkThirion et al. 2007: treat parcels as discrete objects and find parcel correspondences across subjects by matchingXu et al. 2009: generative, hierarchical model representing activation regions as Gaussian mixturesSabuncu et al. 2010: groupwise functional registration12/16/2011NIPS MLINI Workshop 20115

6. Previous WorkThirion et al. 2007: treat parcels as discrete objects and find parcel correspondences across subjects by matchingXu et al. 2009: generative, hierarchical model representing activation regions as Gaussian mixturesSabuncu et al. 2010: groupwise functional registration12/16/2011NIPS MLINI Workshop 20116

7. Our Generative Model12/16/2011NIPS MLINI Workshop 20117To generate image for a subject:Choose weights for eachgroup-level parcelForm weighted sum ofgroup-level parcelsDeform pre-image and add noisePre-imagee.g. (0.2, 1)    Deformation:   Group-level parcels1:2:      sparse, no deformations  sparse coding i.i.d. entries i.i.d. prior Goal: Estimate group-level parcels and deformations  

8. Estimating Group-level Parcels and DeformationsPriors on group-level parcels and deformations from image registrationWant to be parcel, have sparse support, and smoothWant MAP estimate:Use generalized EM algorithm for MAP estimation 12/16/2011NIPS MLINI Workshop 20118  Don’t get to observe ’s! sparsitysmoothnessparcelidentifiability 

9. Language fMRI StudyDataSubstantial functional variability!33 subjectsContrast: reading sentences vs. pronounceable nonwords are t-statistic images from standard fMRI preprocessingAll images initially brought into common anatomical spaceWhat we’ll showEstimated group-level parcels correspond to language processing regionsEstimated deformations improve fMRI group analysis 12/16/2011NIPS MLINI Workshop 20119

10. Left frontal lobeLeft temporal lobeEstimated Group-level ParcelsCorrespond to known language processing regions12/16/2011NIPS MLINI Workshop 201110Spatial support of group-level parcelsRight temporal lobeRight cerebellumExample group-level parcels

11. Apply estimated deformation to fMRI data for each subject and redo standard fMRI group analysis on separate data12/16/2011NIPS MLINI Workshop 201111Modeling functional variability increases statistical significance in each group-level parcelGroup-level Parcel IndexNegative log p-valueImproving fMRI Group Analysis with Estimated Deformations

12. Improving fMRI Group Analysis with Estimated Deformations12/16/2011NIPS MLINI Workshop 201112spaceSubject 1Subject 2AverageAlignedspacespacespaceWhy is the variance so high for statistical significance values for our model?

13. Improving fMRI Group Analysis with Estimated Deformations12/16/2011NIPS MLINI Workshop 201113AveragespaceWhy is the variance so high for statistical significance values for our model?Group-level parcel supportVariation using anatomical alignment onlyVariation using our model

14. Apply estimated deformation to fMRI data for each subject and redo standard fMRI group analysis12/16/2011NIPS MLINI Workshop 201114Modeling functional variability increases statistical significance in each group-level parcelGroup-level Parcel IndexNegative log p-valueImproving fMRI Group Analysis with Estimated Deformations

15. ContributionsGenerative model for finding group-level parcelsRepresent discrete set of parcels as imagesModel implicitly represents correspondences Just look at where -th group-level parcel shows up in each subject!Get deformations out of model, not just parcel correspondences! Improves fMRI group analysisFuture directionsUse estimated parcels in other fMRI studies as markers for language processing (and other stimuli!) 12/16/2011NIPS MLINI Workshop 201115