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How To Do Multivariate Pattern Analysis What is MVPA? Animations from Meyer & Kaplan (in press), Journal of Visualized Experiments Not significant Average Average V1 V2 V3 V4 V5 V6 V1 V2 V3 V4 V5 V6 Univariate vs. multivariate analysis of fMRI data Individually not significant…but significant when considered in conjunction! — V1 V2 V3 V4 V5 V6 Fusiform face area Significant? Univariate analysis: Multivariate pattern analysis: The direction in which the correlation between the perceptual Reverse inference stimuli and brain activity is mapped does not matter from a statistical point of view. Primary visual cortex Multivariate pattern analysis: Predictable? V1 V2 V3 V 4 V5 V6 Training trials Stimulus V1 activity v v vv vv vv vv vv vv vv vv vv vv vv v v v v v v v v v v v v v v v v v v v vv v v v v v v v v v v v v v v v pattern vvv vvv vvv vvv vvv vvv vvv vvv vvv vvv vvv vvv Stimulus Performance: 75% vv vv vv vv vv vv vv vv vv vv V1 activity vvv vvv vvv vvv vvv vvv vvv vvv vvv vvv vvv vvv pattern vvv vvv vvv vvv vvv vvv vvv vvv vvv vvv vvv vvv Classifier vv vv Classifier guess V1 activity pattern ? ? ? ? Testing trials ? ? ? ? ? ? ? ? vv vv vv vv vv vv vv vv vv vv vv vv vvv vvv vvv vvv vvv vvv vvv vvv vvv vvv vvv vvv vvv vvv vvv vvv vvv vvv vvv vvv vvv vvv vvv vvv Stimulus Testing trials Cross-validation paradigm: Cross-validation steps Runs 1 2 3 4 5 6 7 8 1 Performance 1 2 3 4 5 6 7 8 Performance 2 Performance 3 Performance 4 Performance 5 Performance 6 Performance 7 Performance 8 Training run Testing run Overall performance What do I need to do MVPA? An fMRI experiment with an appropriate design Almost any modern computer PyMVPA software Experiment design As many trials as possible to train the classifier Experiment design As many trials as possible to train the classifier Clear BOLD pattern resulting from each trial TR TR TR TR TR TR TR TR TR TR TR TR TR TR TR TR TR TR TR TR TR Sparse temporal sampling Video clip TR What is the input to the classifier? TR TR TR TR TR TR TR TR TR TR TR TR TASK A Raw fMRI data TASK B What is the input to the classifier? TR TR TR TR TR TR TR TR TR TR TR TR TASK A TASK B Raw fMRI data Averaged fMRI data AVG AVG What is the input to the classifier? TR TR TR TR TR TR TR TR TR TR TR TR TASK A Raw fMRI data Averaged fMRI data beta values from a GLM analysis TASK B Data pre-processing • • • • Motion-correction Smoothing (?) Trend removal / high pass filter Z-scoring FSL PyMVPA Gathering Your Tools Why PyMVPA Alternative toolbox: Princeton MVPA toolbox http://code.google.com/p/princeton-mvpa-toolbox/ PyMVPA is free and open-source, does not require Matlab Well-maintained and flexible Python is great once you get used to it I know how to use it Python An interpreted, modern programming language Produces very clear, easy to read code Object-oriented Extensive scientific computing modules available for python (scipy, nipy, etc.) Brief python demo Python command line Python scripting iPython Gathering Your Tools Install PyMVPA: http://www.pymvpa.org Version .4x versus .6x Linux: Very easy, just type one command Windows: Mac: Instructions on website will only install .4x. To install .6x follow my guide: http://www.jonaskaplan.com/lab/pymvpainstallation.php Gather Your Ingredients Ingredients 1 4-dimensional functional data file, motion-corrected This should be all of your data from one subject. If you did multiple scans, concatenate them into one single 4D file, all motion corrected to the same volume Sample preprocessing script Ingredients 1 4-dimensional functional data file, motion-corrected This should be all of your data from one subject. If you did multiple scans, concatenate them into one single 4D file, all motion corrected to the same volume 1 text file which contains “attributes”: Column 1 labels each volume with a “target” category Column 2 labels each volume with a “chunk”, e.g. scan 1 Mask file in the functional space Terminology dog V O X E L S violin cow vase Terminology TARGETS dog violin cow F E A T U R E S CHUNK vase Sample attributes file Sparse design Block design Getting started with pymvpa Start python or ipython Import the pymvpa module and explore it Sample dataset Subject saw nine different 5-second video clips: dog, cow, rooster, violin, piano, bass, vase, chainsaw, coins One single volume acquired 7 seconds after the start of the clip Eight scans, each stimulus seen 3 times in each scan (24 times across the experiment) Getting started with pymvpa Read in your attributes Create a dataset Mappers Mappers transform data samples Dataset automatically maps data from 4D to 2D Many mappings are reversible Data pre-processing steps Detrending Z-scoring Partitioners Used to split the data into training set and testing set HalfPartitioner() OddEvenPartitioner() NFoldPartitioner() Choosing a classifier algorithm • Nearest neighbor • Support Vector Machine (SVM) • Linear Discriminant Analysis (LDA) • Gaussian Naive Bayes (GNB) • Sparse Multinomial Linear Regression (SMLR) •... •... Choosing a classifier algorithm Support Vector Machine Draws a hyperplane to separate the categories, maximizing the margin between classes Support Vector Machine Support Vector Machine • Draws a hyperplane to separate the categories, maximizing the margin between classes • Works quickly with on large feature sets (lots of voxels) • Common in fMRI pattern learning literature • Binary classifier • Linear version chosen (very little advantage to nonlinear SVM with lots of features and few stimuli) Misaki et al, 2010, NeuroImage Choosing a classifier algorithm Setting up cross-validation Go! Results Show confusion matrix: Plot confusion matrix: Significance testing • Binomial test • Permutation testing • Voxel sensitivity maps Significance testing • Binomial test Significance testing • Binomial test Significance testing • Permutation testing • Generate a null distribution by randomly permuting pattern labels http://www.pymvpa.org/examples/permutation_test.html Searchlight analysis Searchlight analysis To study on your own Temporal exploration: averaging, temporal searchlights Sensitivity maps Permutation testing