Efficient predictive coding in neural networks in the presence of disorder and delays

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Abstract/Contents

Abstract
Biological neural networks face a formidable task: performing reliable computations in the face of intrinsic stochasticity in individual neurons, imprecisely specified synaptic connectivity, and nonnegligible delays in synaptic transmission. A common approach to combatting such biological heterogeneity involves averaging over large redundant networks of N neurons resulting in coding errors that decrease classically as 1/sqrt(N). Recent work demonstrated a novel mechanism whereby recurrent spiking networks could efficiently encode dynamic stimuli, achieving a superclassical scaling in which coding errors decrease as 1/N. This specific mechanism involved two key ideas: predictive coding, and a tight balance, or cancellation between strong feedforward inputs and strong recurrent feedback. However, the theoretical principles governing the efficacy of balanced predictive coding and its robustness to noise, synaptic weight heterogeneity and communication delays remain poorly understood. To discover such principles, we introduce an analytically tractable rate-neuron model of balanced predictive coding, in which the degree of balance and the degree of weight disorder and noise can be dissociated unlike in previous balanced network models, and we develop a mean field theory of coding accuracy. Furthermore, we extend our analysis and elucidate the dependence of coding accuracy on delays and noise in a spiking neural model. Overall, our work provides and solves a general theoretical framework for dissecting the differential contributions neural noise, synaptic disorder, chaos, synaptic delays, and balance to the fidelity of predictive neural codes, reveals the fundamental role that balance plays in achieving superclassical scaling, and unifies previously disparate models in theoretical neuroscience.

Description

Type of resource text
Form electronic resource; remote; computer; online resource
Extent 1 online resource.
Place California
Place [Stanford, California]
Publisher [Stanford University]
Copyright date 2021; ©2021
Publication date 2021; 2021
Issuance monographic
Language English

Creators/Contributors

Author Timcheck, Jonathan Paul
Degree supervisor Boahen, Kwabena (Kwabena Adu)
Degree supervisor Ganguli, Surya, 1977-
Thesis advisor Boahen, Kwabena (Kwabena Adu)
Thesis advisor Ganguli, Surya, 1977-
Thesis advisor Doniach, S
Degree committee member Doniach, S
Associated with Stanford University, Department of Physics

Subjects

Genre Theses
Genre Text

Bibliographic information

Statement of responsibility Jonathan Paul Timcheck.
Note Submitted to the Department of Physics.
Thesis Thesis Ph.D. Stanford University 2021.
Location https://purl.stanford.edu/sx733bv4587

Access conditions

Copyright
© 2021 by Jonathan Paul Timcheck

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