BERNOULLI FACTORIES FOR FLOW-BASED POLYTOPES

被引：0
|
作者：
Niazadeh, Rad [1 ]
Leme, Renato paes [2 ]
Schneider, Jon [2 ]
机构：
[1] Chicago Booth Sch Business, Chicago, IL 60637 USA
[2] Geoogle Res, New York, NY 10011 USA
来源：
SIAM JOURNAL ON DISCRETE MATHEMATICS | 2024年 / 38卷 / 01期
关键词：
exact sampling; Bernoulli factories; random flows; circulations; COINS;
D O I：
10.1137/23M1558343
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We construct explicit combinatorial Bernoulli factories for the following class of flowbased polytopes: integral 0/1-polytopes defined by a set of network flow constraints. This generalizes the results of Niazadeh et al. (who constructed an explicit factory for the specific case of bipartite perfect matchings) and provides novel exact sampling procedures for sampling paths, circulations, and k-flows. In the process, we uncover new connections to algebraic combinatorics.
引用
收藏
页码：726 / 742
页数：17
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