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Neural networks have proven to be effective at solving machine learning tasks but it is unclear whether they learn any relevant causal relationships, while their black-box nature makes it difficult for modellers to understand and debug…

机器学习 · 计算机科学 2023-08-02 Fabrizio Russo , Francesca Toni

Finding a best response policy is a central objective in game theory and multi-agent learning, with modern population-based training approaches employing reinforcement learning algorithms as best-response oracles to improve play against…

人工智能 · 计算机科学 2023-04-26 Daniel Hernandez , Hendrik Baier , Michael Kaisers

A popular computer puzzle, the game of Minesweeper requires its human players to have a mix of both luck and strategy to succeed. Analyzing these aspects more formally, in our research we assessed the feasibility of a novel methodology…

机器学习 · 计算机科学 2021-06-21 Igor Q. Lordeiro , Diego B. Haddad , Douglas O. Cardoso

This paper provides a complexity analysis for the game of reconnaissance blind chess (RBC), a recently-introduced variant of chess where each player does not know the positions of the opponent's pieces a priori but may reveal a subset of…

人工智能 · 计算机科学 2019-03-04 Jared Markowitz , Ryan W. Gardner , Ashley J. Llorens

We introduce a natural variant of weighted voting games, which we refer to as k-Prize Weighted Voting Games. Such games consist of n players with weights, and k prizes, of possibly differing values. The players form coalitions, and the i-th…

计算机科学与博弈论 · 计算机科学 2023-03-03 Wei-Chen Lee , David Hyland , Alessandro Abate , Edith Elkind , Jiarui Gan , Julian Gutierrez , Paul Harrenstein , Michael Wooldridge

Research in reinforcement learning has produced algorithms for optimal decision making under uncertainty that fall within two main types. The first employs a Bayesian framework, where optimality improves with increased computational time.…

机器学习 · 统计学 2011-09-22 Christos Dimitrakakis

Bayesian Knowledge Tracing (BKT) is a probabilistic model of a learner's state of mastery corresponding to a knowledge component. It considers the learner's state of mastery as a "hidden" or latent binary variable and updates this state…

计算机与社会 · 计算机科学 2024-01-19 Denis Shchepakin , Sreecharan Sankaranarayanan , Dawn Zimmaro

Games have a long history as benchmarks for progress in artificial intelligence. Approaches using search and learning produced strong performance across many perfect information games, and approaches using game-theoretic reasoning and…

Knowledge tracing (KT) aims to estimate a student's evolving knowledge state and predict their performance on new exercises based on performance history. Many realistic classroom settings for KT are typically low-resource in data and…

计算与语言 · 计算机科学 2025-06-12 Xinyi Gao , Qiucheng Wu , Yang Zhang , Xuechen Liu , Kaizhi Qian , Ying Xu , Shiyu Chang

We consider the problem of inferring an unknown ranking of $n$ items from a random tournament on $n$ vertices whose edge directions are correlated with the ranking. We establish, in terms of the strength of these correlations, the…

统计理论 · 数学 2024-07-24 Dmitriy Kunisky , Daniel A. Spielman , Xifan Yu

Assistance games (also known as cooperative inverse reinforcement learning games) have been proposed as a model for beneficial AI, wherein a robotic agent must act on behalf of a human principal but is initially uncertain about the humans…

人工智能 · 计算机科学 2020-07-21 Arnaud Fickinger , Simon Zhuang , Dylan Hadfield-Menell , Stuart Russell

We consider distributed learning problem in games with an unknown cost-relevant parameter, and aim to find the Nash equilibrium while learning the true parameter. Inspired by the social learning literature, we propose a distributed…

最优化与控制 · 数学 2023-03-14 Shijie Huang , Jinlong Lei , Yiguang Hong

Retrograde analysis is used in game-playing programs to solve states at the end of a game, working backwards toward the start of the game. The algorithm iterates through and computes the perfect-play value for as many states as resources…

人工智能 · 计算机科学 2024-11-15 Isaac Stone , Nathan R. Sturtevant , Jonathan Schaeffer

Competitor rating systems for head-to-head games are typically used to measure playing strength from game outcomes. Ratings computed from these systems are often used to select top competitors for elite events, for pairing players of…

统计方法学 · 统计学 2025-07-14 Mark E. Glickman

It is a long-standing goal of artificial intelligence (AI) to be superior to human beings in decision making. Games are suitable for testing AI capabilities of making good decisions in non-numerical tasks. In this paper, we develop a new AI…

人工智能 · 计算机科学 2021-02-16 Ran Tian , Nan Li , Ilya Kolmanovsky , Anouck Girard

AI research in chess has been primarily focused on producing stronger agents that can maximize the probability of winning. However, there is another aspect to chess that has largely gone unexamined: its aesthetic appeal. Specifically, there…

人工智能 · 计算机科学 2024-08-06 Kamron Zaidi , Michael Guerzhoy

Despite the many recent practical and theoretical breakthroughs in computational game theory, equilibrium finding in extensive-form team games remains a significant challenge. While NP-hard in the worst case, there are provably efficient…

计算机科学与博弈论 · 计算机科学 2022-01-19 Brian Hu Zhang , Tuomas Sandholm

Common knowledge is crucial for safe group coordination. In its absence, humans must rely on shared knowledge, which is inherently limited in depth and therefore prone to coordination failures, because any finite-order knowledge attribution…

多智能体系统 · 计算机科学 2025-11-12 Thomas Bolander , Robin Engelhardt , Thomas S. Nicolet

Several variations of hat guessing games have been popularly discussed in recreational mathematics. In a typical hat guessing game, after initially coordinating a strategy, each of $n$ players is assigned a hat from a given color set.…

组合数学 · 数学 2011-01-20 Tengyu Ma , Xiaoming Sun , Huacheng Yu

Decades of research have been invested in making computer programs for playing games such as Chess and Go. This paper focuses on a new game, Tetris Link, a board game that is still lacking any scientific analysis. Tetris Link has a large…

人工智能 · 计算机科学 2020-04-02 Matthias Muller-Brockhausen , Mike Preuss , Aske Plaat