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Hand abstraction has been instrumental in developing powerful AI for Texas Hold'em poker, a widely studied testbed for imperfect information games (IIGs). Despite its success, the hand abstraction task lacks robust theoretical tools,…

Computer Science and Game Theory · Computer Science 2025-01-07 Yanchang Fu , Pei Xu , Dongdong Bai , Lingyun Zhao , Kaiqi Huang

Hand abstraction is crucial for scaling imperfect-information games (IIGs) such as Texas Hold'em, yet progress is limited by the lack of a formal task model and by evaluations that require resource-intensive strategy solving. We introduce…

Computer Science and Game Theory · Computer Science 2025-10-20 Yanchang Fu , Qiyue Yin , Shengda Liu , Pei Xu , Kaiqi Huang

Effective action abstraction is crucial in tackling challenges associated with large action spaces in Imperfect Information Extensive-Form Games (IIEFGs). However, due to the vast state space and computational complexity in IIEFGs, existing…

Computer Science and Game Theory · Computer Science 2024-03-08 Boning Li , Zhixuan Fang , Longbo Huang

Information abstraction reduces the computational cost of solving imperfect-information games by clustering information sets into a smaller number of \emph{buckets}. Existing methods either rely on domain-specific features such as rank or…

Computer Science and Game Theory · Computer Science 2026-05-12 Boning Li , Longbo Huang

High-quality information set abstraction remains a core challenge in solving large-scale imperfect-information extensive-form games (IIEFGs)--such as no-limit Texas Hold'em--where the finite nature of spatial resources hinders solving…

Artificial Intelligence · Computer Science 2025-12-10 Yanchang Fu , Shengda Liu , Pei Xu , Kaiqi Huang

Extensive-form games (EFGs) model finite sequential interactions between players. The amount of memory required to represent these games is the main bottleneck of algorithms for computing optimal strategies and the size of these strategies…

Computer Science and Game Theory · Computer Science 2020-04-16 Jiri Cermak , Viliam Lisy , Branislav Bosansky

An imperfect-information game is a type of game with asymmetric information. It is more common in life than perfect-information game. Artificial intelligence (AI) in imperfect-information games, such like poker, has made considerable…

Artificial Intelligence · Computer Science 2024-05-29 Qibin Zhou , Dongdong Bai , Junge Zhang , Fuqing Duan , Kaiqi Huang

Owning to the unremitting efforts by a few institutes, significant progress has recently been made in designing superhuman AIs in No-limit Texas Hold'em (NLTH), the primary testbed for large-scale imperfect-information game research.…

Machine Learning · Computer Science 2021-12-15 Kai Li , Hang Xu , Enmin Zhao , Zhe Wu , Junliang Xing

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,…

Artificial Intelligence · Computer Science 2019-05-23 Noam Brown , Adam Lerer , Sam Gross , Tuomas Sandholm

Test-time reasoning significantly enhances pre-trained AI agents' performance. However, it requires an explicit environment model, often unavailable or overly complex in real-world scenarios. While MuZero enables effective model learning…

Artificial Intelligence · Computer Science 2025-10-07 Ondřej Kubíček , Viliam Lisý

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…

Machine Learning · Computer Science 2019-12-02 Ryan D'Orazio , Dustin Morrill , James R. Wright

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…

Computer Science and Game Theory · Computer Science 2012-05-04 Marc Lanctot , Richard Gibson , Neil Burch , Martin Zinkevich , Michael Bowling

We present an algorithm, HOMER, for exploration and reinforcement learning in rich observation environments that are summarizable by an unknown latent state space. The algorithm interleaves representation learning to identify a new notion…

Machine Learning · Computer Science 2019-11-15 Dipendra Misra , Mikael Henaff , Akshay Krishnamurthy , John Langford

Compressed sensing aims to undersample certain high-dimensional signals, yet accurately reconstruct them by exploiting signal characteristics. Accurate reconstruction is possible when the object to be recovered is sufficiently sparse in a…

Information Theory · Computer Science 2015-05-13 David L. Donoho , Arian Maleki , Andrea Montanari

When learning to play an imperfect information game, it is often easier to first start with the basic mechanics of the game rules. For example, one can play several example rounds with private cards revealed to all players to better…

Computer Science and Game Theory · Computer Science 2025-05-27 Benjamin Heymann , Marc Lanctot

Online learning algorithms that minimize regret provide strong guarantees in situations that involve repeatedly making decisions in an uncertain environment, e.g. a driver deciding what route to drive to work every day. While regret…

Computer Science and Game Theory · Computer Science 2013-09-06 Jeremiah Blocki , Nicolas Christin , Anupam Datta , Arunesh Sinha

In game theory, imperfect-recall decision problems model situations in which an agent forgets information it held before. They encompass games such as the ``absentminded driver'' and team games with limited communication. In this paper, we…

Computer Science and Game Theory · Computer Science 2026-02-18 Emanuel Tewolde , Brian Hu Zhang , Ioannis Anagnostides , Tuomas Sandholm , Vincent Conitzer

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…

Artificial Intelligence · Computer Science 2018-12-31 Hui Li , Kailiang Hu , Zhibang Ge , Tao Jiang , Yuan Qi , Le Song

Intrinsic image decomposition and inverse rendering are long-standing problems in computer vision. To evaluate albedo recovery, most algorithms report their quantitative performance with a mean Weighted Human Disagreement Rate (WHDR) metric…

Computer Vision and Pattern Recognition · Computer Science 2023-06-30 Jiaye Wu , Sanjoy Chowdhury , Hariharmano Shanmugaraja , David Jacobs , Soumyadip Sengupta

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…

Computer Science and Game Theory · Computer Science 2019-02-22 Noam Brown , Tuomas Sandholm
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