Bulletin of the American Physical Society
APS March Meeting 2023
Las Vegas, Nevada (March 5-10)
Virtual (March 20-22); Time Zone: Pacific Time
Session N00: Poster Session II (11am-2pm PST)
Wednesday, March 8, 2023
Room: Exhibit Hall (Forum Ballroom)
Sponsoring Unit: APS
Abstract: N00.00334 : One nose but two nostrils: interaction between two hemispheres aligns bilateral responses*
Bo Liu, Shanshan Qin, Venkatesh Murthy, Yuhai Tu
We hypothesized that the inter-hemispheric projections are plastic and are shaped by constant experience of different environmental odors. Then we modeled this online learning process with local Hebb's rule, and found that: bilateral alignment of odor representations can be achieved; with larger OB to cortex expansion ratio, the projection can be sparser. Further, we found a power law with exponent 1/2 between alignment quality and projection sparsity. A theory was developed for the (unique) Hebbian solution, and explained two scalings.
To explore the landscape in larger parameter space, we optimized an alignment loss function over projection matrices, with global stochastic gradient descent (SGD) update rule. We showed that SGD outperforms Hebb’s rule and may find perfect alignment solutions. This difference between local Hebbian and global SGD rules, and their connections, may be understood analytically.
*The work was supported by Harvard Mind Brain Behavior Graduate Student Award, and was partially done when Bo Liu was a summer intern at IBM Research.
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