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• W3090147106 abstract "We obtain a polynomial upper bound on the mixing time $T_{CHR}(epsilon)$ of the coordinate Hit-and-Run random walk on an $n-$dimensional convex body, where $T_{CHR}(epsilon)$ is the number of steps needed in order to reach within $epsilon$ of the uniform distribution with respect to the total variation distance, starting from a warm start (i.e., a distribution which has a density with respect to the uniform distribution on the convex body that is bounded above by a constant). Our upper bound is polynomial in $n, R$ and $frac{1}{epsilon}$, where we assume that the convex body contains the unit $VertcdotVert_infty$-unit ball $B_infty$ and is contained in its $R$-dilation $Rcdot B_infty$. Whether coordinate Hit-and-Run has a polynomial mixing time has been an open question." @default.
• W3090147106 created "2020-10-08" @default.
• W3090147106 creator A5029536777 @default.
• W3090147106 creator A5073411123 @default.
• W3090147106 date "2020-09-29" @default.
• W3090147106 modified "2023-09-27" @default.
• W3090147106 title "On the mixing time of coordinate Hit-and-Run." @default.
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