English(EN) Sharp Inequalities between Total Variation and Hellinger Distances for Gaussian Mixtures

新不等式阐明高斯混合模型距离关系

作者 PulseAugur 编辑部 · [1 个来源] · 2026-05-27 04:00

研究人员建立了新的不等式，精确定义了高斯混合模型总变差距离与Hellinger距离之间的关系。他们的发现提供了一个通用上限，表明Hellinger距离受总变差距离的幂次控制。这项工作解决了该领域的一个开放性问题，并为高斯混合模型的学习提供了熵特征化，对鲁棒估计和经验贝叶斯方法具有启示意义。 AI

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arXiv stat.ML TIER_1 English(EN) · Joonhyuk Jung, Chao Gao · 2026-05-27 04:00

高斯混合模型总变差与Hellinger距离之间的尖锐不等式

arXiv:2602.03202v2 Announce Type: replace-cross Abstract: We study the relation between the total variation (TV) and Hellinger distances between two Gaussian location mixtures. Our first result establishes a general upper bound: for any two mixing distributions supported on a com…