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English(EN) Thin-shell stability of Gaussian cooling: logconcave sampling with sesteric complexity from a cold start

薄壳稳定性提高了对数凹采样复杂度

作者 PulseAugur 编辑部 · [1 个来源] ·

研究人员已经证明，高斯冷却路径上的对数凹概率测度表现出薄壳稳定性。这一发现扩展了薄壳定理，并实现了从冷启动开始采样任意对数凹分布的更高效复杂度。具体来说，对于接近各向同性的对数凹分布，复杂度降低到大约 $n^{2.5}$，优于之前的 $n^{2.75}$ 界限，并与 Speedy walk 复杂度相匹配。 AI

影响 这项理论进展可能导致更有效的采样复杂数据分布的方法，潜在地影响依赖于此类采样技术的机器学习算法。

排序理由 该集群包含一篇详细介绍采样复杂度理论进展的学术论文。[lever_c_demoted from research: ic=1 ai=1.0]

在 arXiv cs.LG 阅读 →

AI 生成摘要 · Google Gemini · 来自 1 个来源。 我们如何撰写摘要 →

薄壳稳定性提高了对数凹采样复杂度

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该集群包含一篇详细介绍采样复杂度理论进展的学术论文。[lever_c_demoted from research: ic=1 ai=1.0]
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报道来源 [1]

  1. arXiv cs.LG TIER_1 English(EN) · Yunbum Kook, Santosh S. Vempala ·

    高斯冷却的薄壳稳定性：从冷启动开始的具有 sesteric 复杂度的对数凹采样

    arXiv:2609.15884v1 Announce Type: cross Abstract: We show that logconcave probability measures along the Gaussian cooling path have thin-shell stability, generalizing the thin-shell theorem. This result leads to improved complexity for the fundamental problem of sampling an arbit…

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