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News/Beyond the $d^{2.5}$-mixing bound for Dikin walks on polytopes
arxiv
PublishedJuly 16, 2026 at 4:00 AM
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Beyond the $d^{2.5}$-mixing bound for Dikin walks on polytopes

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arXiv:2607.13943v1 Announce Type: cross Abstract: Inspired by interior-point methods (IPM) for structured convex optimization, Kannan and Narayanan introduced the Dikin walk for sampling uniformly from polytopes in 2009. As in IPMs, the Dikin walk is affine-invariant, and its convergence is governed

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