Bulletin of the American Physical Society
APS March Meeting 2019
Volume 64, Number 2
Monday–Friday, March 4–8, 2019; Boston, Massachusetts
Session R67: Physics of Neural Systems II
8:00 AM–11:00 AM,
Thursday, March 7, 2019
BCEC
Room: 050
Sponsoring
Unit:
DBIO
Chair: Vijay Singh, University of Pennsylvania
Abstract: R67.00014 : Generation of scale-invariant sequential activity in recurrent neural circuits*
10:36 AM–10:48 AM
Presenter:
Yue Liu
(Department of Physics and Center for Systems Neuroscience, Boston University)
Authors:
Yue Liu
(Department of Physics and Center for Systems Neuroscience, Boston University)
Marc W Howard
(Department of Physics and Center for Systems Neuroscience, Boston University)
Inspired by Weber-Fechner law in the sensory domain and scalar timing in psychophysics, we study the requirements for scale-invariant sequences in linear recurrent neural networks. It is found that 1) the eigenvalues of the connectivity matrix must be geometrically spaced, and 2) the eigenvectors have to have a translation-invariant structure composed of the same motif.
Together the relationship between the eigenvectors and eigenvalues can be thought of a logarithmic mapping from a ratio scale to an interval scale (Luce, 1959). Geometrically spaced network eigenvalues can generically emerge from multiplicative cellular processes (Amir et al., 2012). We are now seeking to extend these results to nonlinear recurrent networks.
*ONR MURI N00014-16-1-2832
NIBIB R01EB022864
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