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
相关论文
共 50 条
  • [1] Combinatorial Bernoulli Factories: Matchings, Flows, and Other Polytopes
    Niazadeh, Rad
    Leme, Renato Paes
    Schneider, Jon
    [J]. STOC '21: PROCEEDINGS OF THE 53RD ANNUAL ACM SIGACT SYMPOSIUM ON THEORY OF COMPUTING, 2021, : 833 - 846
  • [2] MULTIPARAMETER BERNOULLI FACTORIES
    Leme, Renato Paes
    Schneider, Jon
    [J]. ANNALS OF APPLIED PROBABILITY, 2023, 33 (05): : 3987 - 4007
  • [3] Combinatorial Bernoulli factories
    Niazadeh, Rad
    Leme, Renato Paes
    Schneider, Jon
    [J]. BERNOULLI, 2023, 29 (02) : 1246 - 1274
  • [4] Flow-based microimmunoassay
    Hayes, MA
    Polson, NA
    Phayre, AN
    Garcia, AA
    [J]. ANALYTICAL CHEMISTRY, 2001, 73 (24) : 5896 - 5902
  • [5] Flow-Based Image Abstraction
    Kang, Henry
    Lee, Seungyong
    Chui, Charles K.
    [J]. IEEE TRANSACTIONS ON VISUALIZATION AND COMPUTER GRAPHICS, 2009, 15 (01) : 62 - 76
  • [6] Flow-based Analytical Techniques
    Suzuki, Yasutada
    [J]. ANALYTICAL SCIENCES, 2018, 34 (08) : 865 - 865
  • [7] Flow-based Analytical Techniques
    Yasutada SuziKl
    [J]. Analytical Sciences, 2018, 34 : 865 - 865
  • [8] A Flow-Based Synthesis of Telmisartan
    Martin, Alex D.
    Siamaki, Ali R.
    Belecki, Katherine
    Gupton, B. Frank
    [J]. JOURNAL OF FLOW CHEMISTRY, 2015, 5 (03) : 145 - 147
  • [9] Flow-based NDN Architecture
    Tan, Xiaobin
    Zhao, Zinfan
    Cheng, Yujiao
    Su, Junxiang
    [J]. 2016 IEEE INTERNATIONAL CONFERENCE ON COMMUNICATIONS (ICC), 2016,
  • [10] Toward Flow-Based Ontology
    Al-Fedaghi, Sabah
    [J]. SOFTWARE ENGINEERING, ARTIFICIAL INTELLIGENCE, NETWORKING AND PARALLEL/DISTRIBUTED COMPUTING, 2016, 653 : 125 - 137
12345