研究人员开发用于乘积分布混合物的总变差距离的算法

作者 PulseAugur 编辑部 · [2 个来源] · 2026-05-05 15:05

研究人员开发了用于近似乘积分布混合物的总变差距离的算法。该工作聚焦于一个n维离散域，并提供了一种在$(1 \pm \varepsilon)$误差内进行近似的随机算法。对于布尔子立方体混合物，一种确定性算法提供了精确计算，尽管在某些条件下该问题被证明是#P-难的。 AI

影响为理解和计算复杂概率分布之间的距离提供了理论进展，这对于生成模型和数据分析具有相关性。

排序理由这是一篇研究论文，详细介绍了计算概率分布之间距离的新算法。

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

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arXiv cs.LG TIER_1 English(EN) · Weiming Feng, Yucheng Fu, Minji Yang, Anqi Zhang · 2026-05-06 04:00

关于计算乘积分布混合物的总变差距离

arXiv:2605.03839v1 Announce Type: cross Abstract: We study the problem of approximating the total variation distance between two mixtures of product distributions over an $n$-dimensional discrete domain. Given two mixtures $\mathbb{P}$ and $\mathbb{Q}$ with $k_1$ and $k_2$ produc…
arXiv cs.LG TIER_1 English(EN) · Anqi Zhang · 2026-05-05 15:05

关于计算乘积分布混合物的总变差距离

We study the problem of approximating the total variation distance between two mixtures of product distributions over an $n$-dimensional discrete domain. Given two mixtures $\mathbb{P}$ and $\mathbb{Q}$ with $k_1$ and $k_2$ product distributions over $[q]^n$, respectively, we giv…