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CATEGORIES:Research,Science & Technology
DESCRIPTION:Join us on Zoom for our fourth Journal Club in the U-HackMed Ne
uroChats series.\n\nPresenter: Ruiqi Gao\, Ph.D.\, Research Scientist at Go
ogle\, Brain team\nPaper: On Path Integration of Grid Cells: Group Represen
tation and Isotropic Scaling\n\nAbstract: Understanding how grid cells perf
orm path integration calculations remains a fundamental problem. In this pa
per\, we conduct theoretical analysis of a general representation model of
path integration by grid cells\, where the 2D self-position is encoded as a
higher dimensional vector\, and the 2D self-motion is represented by a gen
eral transformation of the vector. We identify two conditions on the transf
ormation. One is a group representation condition that is necessary for pat
h integration. The other is an isotropic scaling condition that ensures loc
ally conformal embedding\, so that the error in the vector representation t
ranslates conformally to the error in the 2D self-position. Then we investi
gate the simplest transformation\, i.e.\, the linear transformation\, uncov
er its explicit algebraic and geometric structure as matrix Lie group of ro
tation\, and explore the connection between the isotropic scaling condition
and a special class of hexagon grid patterns. Finally\, with our optimizat
ion-based approach\, we manage to learn hexagon grid patterns that share si
milar properties of the grid cells in the rodent brain. The learned model i
s capable of accurate long distance path integration. Code is available at
https://github.com/ruiqigao/grid-cell-path.
DTEND:20220908T170000Z
DTSTAMP:20221130T215921Z
DTSTART:20220908T160000Z
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SUMMARY:U-HackMed NeuroChats - Ruiqi Gao
UID:tag:localist.com\,2008:EventInstance_40871919589518
URL:https://events.utsouthwestern.edu/event/u-hackmed_neurochats_-_ruiqi_ga
o
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