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Counterfactual regret minimization (CFR) is an effective algorithm for solving extensive games with imperfect information (IIEGs). However, CFR is only allowed to be applied in known environments, where the transition function of the chance…

计算机科学与博弈论 · 计算机科学 2024-10-30 Chen Qiu , Xuan Wang , Tianzi Ma , Yaojun Wen , Jiajia Zhang

Counterfactual Regret Minimization (CFR)} is the popular method for finding approximate Nash equilibrium in two-player zero-sum games with imperfect information. CFR solves games by travsersing the full game tree iteratively, which limits…

人工智能 · 计算机科学 2022-01-04 Huale Li , Xuan Wang , Zengyue Guo , Jiajia Zhang , Shuhan Qi

Counterfactual Regret Minimization (CFR) and its variants developed based upon Regret Matching (RM) have been considered to be the best method to solve incomplete information extensive form games. In addition to RM and CFR, Fictitious Play…

计算机科学与博弈论 · 计算机科学 2023-11-14 Qi Ju

To establish last-iterate convergence for Counterfactual Regret Minimization (CFR) algorithms in learning a Nash equilibrium (NE) of extensive-form games (EFGs), recent studies reformulate learning an NE of the original EFG as learning the…

计算机科学与博弈论 · 计算机科学 2025-03-19 Linjian Meng , Youzhi Zhang , Zhenxing Ge , Shangdong Yang , Tianyu Ding , Wenbin Li , Tianpei Yang , Bo An , Yang Gao

Counterfactual regret minimization (CFR) is a family of algorithms for effectively solving imperfect-information games. To enhance CFR's applicability in large games, researchers use neural networks to approximate its behavior. However,…

机器学习 · 计算机科学 2025-11-12 Hang Xu , Kai Li , Haobo Fu , Qiang Fu , Junliang Xing , Jian Cheng

In general, two-agent decision-making problems can be modeled as a two-player game, and a typical solution is to find a Nash equilibrium in such game. Counterfactual regret minimization (CFR) is a well-known method to find a Nash…

计算机科学与博弈论 · 计算机科学 2020-12-07 Huale Li , Xuan Wang , Shuhan Qi , Jiajia Zhang , Yang Liu , Yulin Wu , Fengwei Jia

The dynamic competition between radar and jammer systems presents a significant challenge for modern Electronic Warfare (EW), as current active learning approaches still lack sample efficiency and fail to exploit jammer's characteristics.…

信号处理 · 电气工程与系统科学 2024-07-12 Liangqi Liu , Wenqiang Pu , Yingru Li , Bo Jiu , Zhi-Quan Luo

Counterfactual Regret Minimization (CFR) and its variants are widely recognized as effective algorithms for solving extensive-form imperfect information games. Recently, many improvements have been focused on enhancing the convergence speed…

人工智能 · 计算机科学 2024-10-29 Ju Qi , Falin Hei , Ting Feng , Dengbing Yi , Zhemei Fang , Yunfeng Luo

Counterfactual regret minimization (CFR) is a family of iterative algorithms that are the most popular and, in practice, fastest approach to approximately solving large imperfect-information games. In this paper we introduce novel CFR…

计算机科学与博弈论 · 计算机科学 2019-02-22 Noam Brown , Tuomas Sandholm

Nonlinear frequency hopping has emerged as a promising approach for mitigating interference and enhancing range resolution in automotive FMCW radar systems. Achieving an optimal balance between high range-resolution and effective…

信号处理 · 电气工程与系统科学 2025-03-11 Yunian Pan , Jun Li , Lifan Xu , Shunqiao Sun , Quanyan Zhu

Counterfactual regret minimization (CFR) is the most popular algorithm on solving two-player zero-sum extensive games with imperfect information and achieves state-of-the-art performance in practice. However, the performance of CFR is not…

机器学习 · 计算机科学 2018-12-27 Yichi Zhou , Tongzheng Ren , Jialian Li , Dong Yan , Jun Zhu

Counterfactual Regret Minimization (CFR) is the dominant algorithmic family for solving large imperfect-information games, underpinning breakthroughs such as Libratus and Pluribus in No-Limit Texas Hold'em poker. In real-time game-playing…

计算机科学与博弈论 · 计算机科学 2026-05-20 Boning Li , Longbo Huang

Counterfactual regret minimization (CFR) is a popular method to deal with decision-making problems of two-player zero-sum games with imperfect information. Unlike existing studies that mostly explore for solving larger scale problems or…

机器学习 · 计算机科学 2020-09-15 Huale Li , Xuan Wang , Fengwei Jia , Yifan Li , Yulin Wu , Jiajia Zhang , Shuhan Qi

Counterfactual Regret Minimization (CRF) is a fundamental and effective technique for solving Imperfect Information Games (IIG). However, the original CRF algorithm only works for discrete state and action spaces, and the resulting strategy…

人工智能 · 计算机科学 2018-12-31 Hui Li , Kailiang Hu , Zhibang Ge , Tao Jiang , Yuan Qi , Le Song

No-regret learning has emerged as a powerful tool for solving extensive-form games. This was facilitated by the counterfactual-regret minimization (CFR) framework, which relies on the instantiation of regret minimizers for simplexes at each…

计算机科学与博弈论 · 计算机科学 2017-11-10 Gabriele Farina , Christian Kroer , Tuomas Sandholm

Counterfactual Regret Minimization (CFR) is the leading framework for solving large imperfect-information games. It converges to an equilibrium by iteratively traversing the game tree. In order to deal with extremely large games,…

人工智能 · 计算机科学 2019-05-23 Noam Brown , Adam Lerer , Sam Gross , Tuomas Sandholm

A dominant approach to solving large imperfect-information games is Counterfactural Regret Minimization (CFR). In CFR, many regret minimization problems are combined to solve the game. For very large games, abstraction is typically needed…

机器学习 · 计算机科学 2019-12-02 Ryan D'Orazio , Dustin Morrill , James R. Wright

In two-player zero-sum games, if both players minimize their average external regret, then the average of the strategy profiles converges to a Nash equilibrium. For n-player general-sum games, however, theoretical guarantees for regret…

计算机科学与博弈论 · 计算机科学 2013-05-02 Richard Gibson

Counterfactual Regret Minimization (CFR) is an efficient no-regret learning algorithm for decision problems modeled as extensive games. CFR's regret bounds depend on the requirement of perfect recall: players always remember information…

计算机科学与博弈论 · 计算机科学 2012-05-04 Marc Lanctot , Richard Gibson , Neil Burch , Martin Zinkevich , Michael Bowling

The dynamic competition against intelligent jammer systems presents a significant challenge to modern radar. Traditional active anti-jamming strategy learning methods often suffer from low sample efficiency and fail to fully exploit the…

信号处理 · 电气工程与系统科学 2026-04-14 Liangqi Liu , Wenqiang Pu , Yingru Li , Zhi-Quan Luo
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