English(EN) On two proofs of $d^2$ mixing of weighted Dikin walks

新证明推进了用于采样的Dikin游走混合时间分析

作者 PulseAugur 编辑部 · [1 个来源] · 2026-08-31 04:00

研究人员开发了新的方法来分析加权Dikin游走的混合时间，该方法用于从多面体上的指数分布和截断的半正定（PSD）锥体进行采样。第一种方法通过控制高概率区域的Metropolis-Hastings接受概率来提供一个通用的混合界限，从而为多面体得到$\\widetilde O(d^2)$的混合界限，为截断的PSD锥体得到$\\widetilde O(d^4)$的混合界限。第二个结果改进了$\\chi^2$-散度保证和逐点接受控制，在特定度量下实现了$\\widetilde O(d^2)$的混合界限，优于之前的界限。 AI

影响提高了与AI模型训练和数据分析相关的采样方法的理论理解。

排序理由学术论文，详细介绍了采样算法中的新理论结果。[lever_c_demoted from research: ic=1 ai=1.0]

在 arXiv cs.LG 阅读 →

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arXiv cs.LG TIER_1 English(EN) · Yuansi Chen, Yunbum Kook · 2026-08-31 04:00

关于加权Dikin游走$d^2$混合的两个证明

arXiv:2608.28566v1 Announce Type: cross Abstract: We study the mixing time of weighted Dikin walks for sampling from exponential distributions on polytopes and truncated positive-semidefinite (PSD) cones. Our first result gives a general total-variation mixing bound under strong …

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关于加权Dikin游走$d^2$混合的两个证明

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