Journal Article

FZJ-2022-04370

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Gell-Mann–Low Criticality in Neural Networks

Tiberi, L. (Corresponding author)FZJ* ; Stapmanns, J.FZJ* ; Kühn, T. ; Luu, T.FZJ* ; Dahmen, D.FZJ* ; Helias, M.FZJ*

2022
APS College Park, Md.

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Please use a persistent id in citations: http://hdl.handle.net/2128/32544  doi:10.1103/PhysRevLett.128.168301

Abstract: Criticality is deeply related to optimal computational capacity. The lack of a renormalized theory of critical brain dynamics, however, so far limits insights into this form of biological information processing to mean-field results. These methods neglect a key feature of critical systems: the interaction between degrees of freedom across all length scales, required for complex nonlinear computation. We present a renormalized theory of a prototypical neural field theory, the stochastic Wilson-Cowan equation. We compute the flow of couplings, which parametrize interactions on increasing length scales. Despite similarities with the Kardar-Parisi-Zhang model, the theory is of a Gell-Mann–Low type, the archetypal form of a renormalizable quantum field theory. Here, nonlinear couplings vanish, flowing towards the Gaussian fixed point, but logarithmically slowly, thus remaining effective on most scales. We show this critical structure of interactions to implement a desirable trade-off between linearity, optimal for information storage, and nonlinearity, required for computation.

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Contributing Institute(s):

1. Computational and Systems Neuroscience (INM-6)
2. Jara-Institut Brain structure-function relationships (INM-10)
3. Theoretical Neuroscience (IAS-6)
4. Theorie der Starken Wechselwirkung (IAS-4)
5. Theorie der starken Wechselwirkung (IKP-3)

Research Program(s):

1. 5231 - Neuroscientific Foundations (POF4-523) (POF4-523)
2. HBP SGA3 - Human Brain Project Specific Grant Agreement 3 (945539) (945539)
3. RenormalizedFlows - Transparent Deep Learning with Renormalized Flows (BMBF-01IS19077A) (BMBF-01IS19077A)

Appears in the scientific report 2022

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Database coverage:
; ; ; Clarivate Analytics Master Journal List ; Current Contents - Electronics and Telecommunications Collection ; Current Contents - Physical, Chemical and Earth Sciences ; Ebsco Academic Search ; Essential Science Indicators ; IF >= 5 ; JCR ; Nationallizenz ; SCOAP3 sponsored Journal ; SCOPUS ; Science Citation Index Expanded ; Web of Science Core Collection

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