Before revision:  We propose a mathematical framework for studying the efficiency of spatially embedded whole-brain states reflected in functional MRI , and demonstrate its utility in describing how human subjects learn the values of novel objects . We find that compared to slow learners, quick learners use a smaller ambient embedding to simultaneously encode higher dimensional patterns of neural responses to stimuli, providing a notion of effective codingmost associated with rapid learning.
After revision:  We propose a mathematical framework for studying the efficiency of spatially embedded whole-brain states reflected in functional MRI , and demonstrate its utility in describing how human subjects learn the values of novel objects , we show that quick learners have a higher dimensional geometric representation than slow learners, quick learners use a smaller ambient embedding to simultaneously encode higher dimensional patterns of neural responses to stimuli, providing a notion of effective codingmost associated with rapid learning.