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MCMC for multi-modal distributions

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arxiv 2501.05908 v1 pith:ZPDVHBW6 submitted 2025-01-10 stat.CO

MCMC for multi-modal distributions

classification stat.CO
keywords distributionsmcmcmultimodalalgorithmsapproachesbeenchallengescontinuous
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We explain the fundamental challenges of sampling from multimodal distributions, particularly for high-dimensional problems. We present the major types of MCMC algorithms that are designed for this purpose, including parallel tempering, mode jumping and Wang-Landau, as well as several state-of-the-art approaches that have recently been proposed. We demonstrate these methods using both synthetic and real-world examples of multimodal distributions with discrete or continuous state spaces.

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Cited by 5 Pith papers

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