对凸体中采样点程序的初步分析

Russ Bubley, M. Dyer, M. Jerrum
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引用次数: 19

摘要

本文给出了一种证明高维凸体(几乎)均匀随机抽样算法的多项式时间收敛性的新方法。以前的方法是基于通过等周不等式来估计电导。我们证明了一个更基本的耦合参数可以用来给出类似的结果。©1998 John Wiley & Sons, Inc随机结构。Alg。中华医学杂志,12,213-235,1998
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An elementary analysis of a procedure for sampling points in a convex body
In this paper we describe a new method for proving the polynomial-time convergence of an algorithm for sampling (almost) uniformly at random from a convex body in high dimension. Previous approaches have been based on estimating conductance via isoperimetric inequalities. We show that a more elementary coupling argument can be used to give a similar result. © 1998 John Wiley & Sons, Inc. Random Struct. Alg., 12, 213–235, 1998
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