Exact solution to the random sequential dynamics of a message passing algorithm

Burak Çakmak; Manfred Opper

doi:10.1103/physreve.103.l030101

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arXiv · 2101.01571

Exact solution to the random sequential dynamics of a message passing algorithm

Burak Çakmak·Manfred Opper

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Abstract

We analyze the random sequential dynamics of a message passing algorithm for Ising models with random interactions in the large system limit. We derive exact results for the two-time correlation functions and the speed of convergence. The {\em de Almedia-Thouless} stability criterion of the static problem is found to be necessary and sufficient for the global convergence of the random sequential dynamics.

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cond-mat.dis-nn cs.LG

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BibTeX RIS

Burak Çakmak, Manfred Opper. 2021-01-05. Exact solution to the random sequential dynamics of a message passing algorithm. https://doi.org/10.1103/physreve.103.l030101

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