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News/Heat-Kernel Entropy Profiles and Geometric Effective Sample Size for Weighted Measures on Manifolds
arxiv
PublishedJuly 24, 2026 at 4:00 AM
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Heat-Kernel Entropy Profiles and Geometric Effective Sample Size for Weighted Measures on Manifolds

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Publisher summary· verbatim

arXiv:2607.06696v2 Announce Type: replace-cross Abstract: Weighted empirical measures on compact manifolds appear in importance sampling, particle approximations, posterior summaries, quadrature, and representation learning. Ordinary effective sample size and related weight summaries ignore the geom

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