Extended Plefka expansion for stochastic dynamics

DOI10.1088/1751-8113/49/19/194003zbMath1346.90229arXiv1509.07066OpenAlexW3104482878MaRDI QIDQ2991882

Barbara Bravi, Peter Sollich, Manfred Opper

Publication date: 10 August 2016

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.07066

zbMATH Keywords

random matrix theorymean fieldbiochemical networksdynamical functionalPlefka expansion

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Stochastic network models in operations research (90B15) Neural networks for/in biological studies, artificial life and related topics (92B20)

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Diagrammatics for the inverse problem in spin systems and simple liquids ⋮ The two-particle irreducible effective action for classical stochastic processes ⋮ Dense Hebbian neural networks: a replica symmetric picture of supervised learning ⋮ Path integral methods for the dynamics of stochastic and disordered systems ⋮ Inference for dynamics of continuous variables: the extended Plefka expansion with hidden nodes ⋮ Critical scaling in hidden state inference for linear Langevin dynamics ⋮ Expansion of the effective action around non-Gaussian theories

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