Continuous Time Learning Algorithms in Optimization and Game Theory

被引:0
|
作者
Sylvain Sorin
机构
[1] Sorbonne Université,Institut de Mathématiques Jussieu
[2] Campus P.&M. Curie,PRG, CNRS UMR 7586
来源
关键词
Learning algorithms; Continuous time; Optimization; Game theory;
D O I
暂无
中图分类号
学科分类号
摘要
The purpose of this work is the comparison of learning algorithms in continuous time used in optimization and game theory. The first three are issued from no-regret dynamics and cover in particular “Replicator dynamics” and “Local projection dynamics”. Then we study “Conditional gradient” versus “Global projection” dynamics and finally “Frank-Wolfe” versus “Best reply” dynamics. Important similarities occur when considering potential or dissipative games.
引用
收藏
页码:3 / 24
页数:21
相关论文
共 50 条
  • [31] Renewal Theory Model of First Hitting Time Analysis for Continuous Evolutionary Algorithms
    Zhou Z.
    Wang L.
    Feng F.
    Tan M.
    He X.
    Zhang Z.
    Moshi Shibie yu Rengong Zhineng/Pattern Recognition and Artificial Intelligence, 2023, 36 (10): : 918 - 930
  • [32] Game Theory Based Evolutionary Algorithms: A Review with Nash Applications in Structural Engineering Optimization Problems
    Greiner, David
    Periaux, Jacques
    Emperador, Jose M.
    Galvan, Blas
    Winter, Gabriel
    ARCHIVES OF COMPUTATIONAL METHODS IN ENGINEERING, 2017, 24 (04) : 703 - 750
  • [33] Profit Analysis Theory and Application in Searching Algorithms Optimization at Transition Stage of Dot and Box Game
    Guo, Zhicheng
    Yin, Hang
    Bai, Xiaodong
    Hu, Huiwen
    Lu, Junkai
    PROCEEDINGS OF THE 28TH CHINESE CONTROL AND DECISION CONFERENCE (2016 CCDC), 2016, : 6888 - 6891
  • [34] Game Theory Based Evolutionary Algorithms: A Review with Nash Applications in Structural Engineering Optimization Problems
    David Greiner
    Jacques Periaux
    Jose M. Emperador
    Blas Galván
    Gabriel Winter
    Archives of Computational Methods in Engineering, 2017, 24 : 703 - 750
  • [35] Nonsmooth optimization: theory and algorithms
    Gorgone, Enrico
    4OR-A QUARTERLY JOURNAL OF OPERATIONS RESEARCH, 2010, 8 (01): : 109 - 112
  • [36] Single Particle Algorithms for Continuous Optimization
    Iacca, Giovanni
    Caraffini, Fabio
    Neri, Ferrante
    Mininno, Ernesto
    2013 IEEE CONGRESS ON EVOLUTIONARY COMPUTATION (CEC), 2013, : 1610 - 1617
  • [37] Nonsmooth optimization: theory and algorithms
    Enrico Gorgone
    4OR, 2010, 8 : 109 - 112
  • [38] Optimization and Learning With Information Streams: Time-varying algorithms and applications
    Dall'Anese, Emiliano
    Simonetto, Andrea
    Becker, Stephen
    Madden, Liam
    IEEE SIGNAL PROCESSING MAGAZINE, 2020, 37 (03) : 71 - 83
  • [39] Epistemic Game Theory: Putting Algorithms to Work
    Baser, Bilge
    Cinemre, Nalan
    R JOURNAL, 2018, 10 (01): : 370 - 380
  • [40] Game Theory-Based Control System Algorithms with Real-Time Reinforcement Learning HOW TO SOLVE MULTIPLAYER GAMES ONLINE
    Vamvoudakis, Kyriakos G.
    Modares, Hamidreza
    Kiumarsi, Bahare
    Lewis, Frank L.
    IEEE CONTROL SYSTEMS MAGAZINE, 2017, 37 (01): : 33 - 52