2021
DOI: 10.48550/arxiv.2111.04066
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Fast sampling via spectral independence beyond bounded-degree graphs

Abstract: Spectral independence is a recently-developed framework for obtaining sharp bounds on the convergence time of the classical Glauber dynamics. This new framework has yielded optimal O(n log n) sampling algorithms on bounded-degree graphs for a large class of problems throughout the so-called uniqueness regime, including, for example, the problems of sampling independent sets, matchings, and Ising-model configurations.Our main contribution is to relax the bounded-degree assumption that has so far been important … Show more

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