Hit-and-run Mixes Fast

  • Ll Aszll O Lovv Asz

Abstract

It is shown that the \hit-and-run" algorithm for sampling from a convex body K mixes in time O (n 2 R 2 =r 2), where R and r are the radii of the inscribed and circumscribed balls of K. Thus after appropriate preprocessing, hit-and-run produces an approximately uniformly distributed sample point in time O (n 3), which matches the best known bound for other… (More)

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Cite this paper

@inproceedings{AszHitandrunMF, title={Hit-and-run Mixes Fast}, author={Ll Aszll O Lovv Asz} }