Before revision:  The method improves decoding performance for 80\% of studies, by permitting cognitive information to flow from every study to the others: it notably gives a strong performance boost when decoding studies of small size. The trained low-dimensional representation-task-optimized networks-is interpretable as a set of basis cognitive dimensions relevant to meaningful categories of cognitive stimuli.
After revision:  The method improves decoding performance for 80\% of the 35 widely-different functional imaging studies that we consider.