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Spin Glass Theory and Far Beyond: Replica Symmetry Breaking after 40 Years

From the Statistical Physics of Disordered Systems to Neuroscience

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Brunel, N; Monasson, R; Sompolinsky, H; Leo van Hemmen, J
January 1, 2023

This chapter studies the bridges and differences between the statistical physics of disordered systems, as developed notably in the context of spin glass theory, and problems in neuroscience. In a first contribution (Sec. 25.1), Nicolas Brunel, Rémi Monasson and Haim Sompolinsky first recall the main lines of the statistical physics approach to neural networks models as developed in the 1980s and 1990s. They then survey more recent developments at the interface between statistical physics and neuroscience, including the inference of synaptic plasticity rules and the statistics of synaptic connectivity. Finally they present the Tempotron model for learning temporal patterns. In a second contribution (Sec. 25.2), Leo van Hemmen discusses the difference between real spin glasses, neuronal networks (of real biological neurons) and neural networks (of artificial neurons); with illustrations ranging from site-disorder models of spin glasses to temporal coding in neuronal networks and unlearning.

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Publication Date

January 1, 2023

Start / End Page

499 / 521
 

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Brunel, N., Monasson, R., Sompolinsky, H., & Leo van Hemmen, J. (2023). From the Statistical Physics of Disordered Systems to Neuroscience. In Spin Glass Theory and Far Beyond: Replica Symmetry Breaking after 40 Years (pp. 499–521). https://doi.org/10.1142/9789811273926_0025
Brunel, N., R. Monasson, H. Sompolinsky, and J. Leo van Hemmen. “From the Statistical Physics of Disordered Systems to Neuroscience.” In Spin Glass Theory and Far Beyond: Replica Symmetry Breaking after 40 Years, 499–521, 2023. https://doi.org/10.1142/9789811273926_0025.
Brunel N, Monasson R, Sompolinsky H, Leo van Hemmen J. From the Statistical Physics of Disordered Systems to Neuroscience. In: Spin Glass Theory and Far Beyond: Replica Symmetry Breaking after 40 Years. 2023. p. 499–521.
Brunel, N., et al. “From the Statistical Physics of Disordered Systems to Neuroscience.” Spin Glass Theory and Far Beyond: Replica Symmetry Breaking after 40 Years, 2023, pp. 499–521. Scopus, doi:10.1142/9789811273926_0025.
Brunel N, Monasson R, Sompolinsky H, Leo van Hemmen J. From the Statistical Physics of Disordered Systems to Neuroscience. Spin Glass Theory and Far Beyond: Replica Symmetry Breaking after 40 Years. 2023. p. 499–521.

DOI

Publication Date

January 1, 2023

Start / End Page

499 / 521