English(EN) Rapid mixing for Gibbs measures in Riemannian manifolds

新研究详述黎曼流形中吉布斯测度的快速混合

作者 PulseAugur 编辑部 · [2 个来源] · 2026-06-11 15:11

研究人员确定了黎曼流形中吉布斯测度快速混合的条件，这是 Langevin 动力学的一个关键方面。该研究侧重于流形曲率、温度以及避免局部最小值以实现多项式混合时间。这项工作建立了不同域中 Langevin 过程之间的关系，这可能具有更广泛的应用。 AI

排序理由该集群包含一篇在 arXiv 上发表的学术论文。[lever_c_demoted from research: ic=2 ai=0.4]

AI 生成摘要 · Google Gemini · 来自 2 个来源。我们如何撰写摘要 →

报道来源 [2]

arXiv stat.ML TIER_1 English(EN) · \'Angela Capel, Marco Castrill\'on-L\'opez, Sofyan Iblisdir, Angelo Lucia, Pablo P\'aez-Velasco, David P\'erez-Garc\'ia · 2026-06-12 04:00

Rapid mixing for Gibbs measures in Riemannian manifolds

arXiv:2606.13453v1 Announce Type: cross Abstract: Langevin dynamics on Riemannian manifolds is analyzed. Conditions ensuring the existence of a suitable logarithmic Sobolev inequality (rapid mixing to the Gibbs measure) are identified. These conditions involve the curvature of th…
arXiv stat.ML TIER_1 English(EN) · David Pérez-García · 2026-06-11 15:11

Rapid mixing for Gibbs measures in Riemannian manifolds

Langevin dynamics on Riemannian manifolds is analyzed. Conditions ensuring the existence of a suitable logarithmic Sobolev inequality (rapid mixing to the Gibbs measure) are identified. These conditions involve the curvature of the manifold, the inverse temperature, escaping dire…