SAMPLING FROM LOG-CONCAVE DISTRIBUTIONS

被引:39
作者
Frieze, Alan [1 ]
Kannan, Ravi [2 ,3 ]
Polson, Nick [4 ]
机构
[1] Carnegie Mellon Univ, Dept Math, Pittsburgh, PA 15213 USA
[2] BELLCORE, Morristown, NJ 07962 USA
[3] Carnegie Mellon Univ, Pittsburgh, PA 15213 USA
[4] Univ Chicago, Grad Sch Business, Chicago, IL 60637 USA
关键词
Sampling; random walk; log-concave functions;
D O I
10.1214/aoap/1177004973
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
We consider the problem of sampling according to a distribution with log-concave density F over a convex body K subset of R-n. The sampling is dine using a biased random walk, and polynomial upper bounds on the time to get a sample point with disribution close to F.
引用
收藏
页码:812 / 837
页数:26
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