dorsal/arxiv
View SchemaSharp propagation of chaos in R\'enyi divergence
| Authors | Matthew S. Zhang |
|---|---|
| Categories | |
| ArXiv ID | 2601.10076vv2 |
| URL | https://arxiv.org/abs/2601.10076 |
| License | http://creativecommons.org/licenses/by/4.0/ |
Abstract
We establish sharp rates for propagation of chaos in R\'enyi divergences for interacting diffusion systems at stationarity. Building upon the entropic hierarchy established in Lacker (2023), we show that under strong isoperimetry and weak interaction conditions, one can achieve $\mathsf R_q(\mu^1 \,\lVert\, \pi) = \widetilde O(\frac{d q^2}{N^2})$ bounds on the $q$-R\'enyi divergence.
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"abstract": "We establish sharp rates for propagation of chaos in R\\\u0027enyi divergences for interacting diffusion systems at stationarity. Building upon the entropic hierarchy established in Lacker (2023), we show that under strong isoperimetry and weak interaction conditions, one can achieve $\\mathsf R_q(\\mu^1 \\,\\lVert\\, \\pi) = \\widetilde O(\\frac{d q^2}{N^2})$ bounds on the $q$-R\\\u0027enyi divergence.",
"arxiv_id": "2601.10076",
"authors": [
"Matthew S. Zhang"
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"license": "http://creativecommons.org/licenses/by/4.0/",
"title": "Sharp propagation of chaos in R\\\u0027enyi divergence",
"url": "https://arxiv.org/abs/2601.10076",
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