Random walks on graphs and Monte Carlo methods

被引:6
|
作者
Cheng, Wen-Ju [1 ]
Cox, Jim [2 ]
Whitlock, Paula [2 ]
机构
[1] CUNY, Grad Ctr, Comp Sci, Fifth Ave, New York, NY USA
[2] CUNY Brooklyn Coll, CIS Dept, 2900 Bedford Ave, Brooklyn, NY 11210 USA
关键词
Graph theory; Random walks; Markov chain Monte Carlo; DIRECTED-GRAPHS;
D O I
10.1016/j.matcom.2015.12.006
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
This paper relates the study of random walks on graphs and directed graphs to random walks that arise in Monte Carlo methods applied to optimization problems. Previous results on simple graphs are surveyed and new results on the mixing times for Markov chains are derived. (C) 2016 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.
引用
收藏
页码:86 / 94
页数:9
相关论文
共 50 条
  • [1] MONTE CARLO METHODS FOR GENERATION OF RANDOM GRAPHS
    Waclaw, B.
    Bogacz, L.
    Burda, Z.
    Janke, W.
    PATH INTEGRALS: NEW TRENDS AND PERSPECTIVES, PROCEEDINGS, 2008, : 342 - +
  • [2] Reusing Random Walks in Monte Carlo Methods for Linear Systems
    Ji, Hao
    Li, Yaohang
    PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON COMPUTATIONAL SCIENCE, ICCS 2012, 2012, 9 : 383 - 392
  • [3] A note on random walks with absorbing barriers and sequential Monte Carlo methods
    Del Moral, Pierre
    Jasra, Ajay
    STOCHASTIC ANALYSIS AND APPLICATIONS, 2018, 36 (03) : 413 - 442
  • [4] Random-walk models of network formation and sequential Monte Carlo methods for graphs
    Bloem-Reddy, Benjamin
    Orbanz, Peter
    JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES B-STATISTICAL METHODOLOGY, 2018, 80 (05) : 871 - 898
  • [5] Random Walks on Random Graphs
    Cooper, Colin
    Frieze, Alan
    NANO-NET, 2009, 3 : 95 - +
  • [6] Subdiffusive discrete time random walks via Monte Carlo and subordination
    Nichols, J. A.
    Henry, B. I.
    Angstmann, C. N.
    JOURNAL OF COMPUTATIONAL PHYSICS, 2018, 372 : 373 - 384
  • [7] Efficient Quasi-Monte Carlo Sampling for Quantum Random Walks
    Atanassov, E.
    Durchova, M.
    APPLICATION OF MATHEMATICS IN TECHNICAL AND NATURAL SCIENCES (AMITANS 2020), 2020, 2302
  • [8] MONTE-CARLO SIMULATIONS OF RANDOM-WALKS AND SURFACES IN PARALLEL
    VANRENSBURG, EJJ
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1987, 20 (10): : L637 - L640
  • [9] On the trace of random walks on random graphs
    Frieze, Alan
    Krivelevich, Michael
    Michaeli, Peleg
    Peled, Ron
    PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 2018, 116 : 847 - 877
  • [10] Biased random walks on random graphs
    Ben Arous, Gerard
    Fribergh, Alexander
    PROBABILITY AND STATISTICAL PHYSICS IN ST. PETERSBURG, 2016, 91 : 99 - 153