Simulated annealing in convex bodies and an O*(n4) volume algorithm

被引：122
|
作者：
Lovász, L
Vempala, S
机构：
[1] MIT, Dept Math, Cambridge, MA 02139 USA
[2] Microsoft Res, Redmond, WA 98052 USA
来源：
JOURNAL OF COMPUTER AND SYSTEM SCIENCES | 2006年 / 72卷 / 02期
基金：
美国国家科学基金会;
关键词：
convex bodies; volume computation; random walks; simulated annealing; logconcave functions;
D O I：
10.1016/j.jcss.2005.08.004
中图分类号：
TP3 [计算技术、计算机技术];
学科分类号：
0812 ;
摘要：
We present a new algorithm for computing the volume of a convex body in R-n. The main ingredients of the algorithm are (i) a "morphing" technique that can be viewed as a variant of simulated annealing and (ii) a new rounding algorithm to put a convex body in near-isotropic position. The complexity is O*(n(4)), improving on the previous best algorithm by a factor of n. (c) 2005 Elsevier Inc. All rights reserved.
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页码：392 / 417
页数：26
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