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Exact solution to the random sequential dynamics of a message passing algorithm
Burak Çakmak1, Manfred Opper1,2
1Artificial Intelligence Group, Technische Universität Berlin, 10587, Germany.
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 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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