Compressed Online Dictionary Learning for Fast fMRI Decomposition

ABSTRACT We present a method for fast resting-state fMRI spatial decompositions of very large datasets, based on the reduction of the temporal dimension before applying dictionary learning on concatenated individual records from groups of subjects. Introducing a measure of correspondence between spatial decompositions of rest fMRI, we demonstrates that time-reduced dictionary learning produces result as reliable as non-reduced decompositions. We also show that this reduction significantly improves computational scalability. Index Terms-- resting-state fMRI, sparse decomposition, dictionary learning, online learning, rangefinder 1. INTRODUCTION Resting-state fMRI data analysis traditionally implies, as an initial step, to decompose a set of raw 4D records (time-series sampled in a volumic voxel grid) into a sum of spatially located functional networks that isolate a part of the brain signals. Functional networks, that can be seen as a set of brain activation maps, form a relevant basis for the experiment signals that captures its essence in a low-dimensional space.