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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

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 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Diffusion models recover accurate mixture weights despite score function insensitivity

    cs.LG 2026-07 conditional novelty 6.0 of 10

    Mixture-weight recovery errors in diffusion models are controlled by the curvature of the diffusion score-matching loss (the DSSI), not by the target score's sensitivity.

  2. Tensor Train Diffusion: Leveraging Low-Rank Structures for High-Dimensional Score-Based Sampling

    stat.ML 2026-07 accept novelty 6.0 of 10

    Functional tensor trains plus BSDE regression solve the HJB score PDE, yielding a fast low-rank sampler that outperforms neural diffusion methods on multimodal targets.

  3. VaSST: Variational Inference for Symbolic Regression using Soft Symbolic Trees

    stat.ME 2026-02 conditional novelty 6.0 of 10

    VaSST uses variational inference over continuously relaxed symbolic trees to recover closed-form expressions from noisy data, reporting competitive structural recovery and predictive accuracy on simulated and Feynman ...

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