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Reinforcement learning from self-play has recently reported many successes. Self-play, where the agents compete with themselves, is often used to generate training data for iterative policy improvement. In previous work, heuristic rules are…

机器学习 · 计算机科学 2020-09-15 Yuanyi Zhong , Yuan Zhou , Jian Peng

Robustness to adversarial perturbations is of paramount concern in modern machine learning. One of the state-of-the-art methods for training robust classifiers is adversarial training, which involves minimizing a supremum-based surrogate…

机器学习 · 计算机科学 2023-05-18 Natalie S. Frank , Jonathan Niles-Weed

Motivated by authentication, intrusion and spam detection applications we consider single-class classification (SCC) as a two-person game between the learner and an adversary. In this game the learner has a sample from a target distribution…

机器学习 · 计算机科学 2010-10-22 Ran El-Yaniv , Mordechai Nisenson

We consider a class of games with continuum of players where equilibria can be obtained by the minimization of a certain functional related to optimal transport as emphasized in [7]. We then use the powerful entropic regularization…

最优化与控制 · 数学 2016-09-12 Adrien Blanchet , Guillaume Carlier , Luca Nenna

We consider a class of N-player stochastic games of multi-dimensional singular control, in which each player faces a minimization problem of monotone-follower type with submodular costs. We call these games "monotone-follower games". In a…

最优化与控制 · 数学 2019-02-05 Jodi Dianetti , Giorgio Ferrari

We analyze the problem of identifying large cliques in graphs that are affected by adversarial uncertainty. More specifically, we consider a new formulation, namely the adversarial maximum clique problem, which extends the classical…

最优化与控制 · 数学 2026-01-12 Immanuel Bomze , Chiara Faccio , Francesco Rinaldi , Giovanni Spisso

We study the problem of repeated play in a zero-sum game in which the payoff matrix may change, in a possibly adversarial fashion, on each round; we call these Online Matrix Games. Finding the Nash Equilibrium (NE) of a two player zero-sum…

机器学习 · 计算机科学 2020-04-06 Adrian Rivera Cardoso , Jacob Abernethy , He Wang , Huan Xu

In this study, we present models where participants strategically select their risk levels and earn corresponding rewards, mirroring real-world competition across various sectors. Our analysis starts with a normal form game involving two…

计算金融 · 定量金融 2023-05-31 Louis Abraham

Despite achieving impressive performance, state-of-the-art classifiers remain highly vulnerable to small, imperceptible, adversarial perturbations. This vulnerability has proven empirically to be very intricate to address. In this paper, we…

机器学习 · 计算机科学 2018-12-03 Alhussein Fawzi , Hamza Fawzi , Omar Fawzi

Is there an algorithm that takes a game in normal form as input, and outputs a Nash equilibrium? If the payoffs are integers, the answer is yes, and lot of work has been done in its computational complexity. If the payoffs are permitted to…

计算机科学中的逻辑 · 计算机科学 2025-06-27 Tonicha Crook , Arno Pauly

Decision making and learning in the presence of uncertainty has attracted significant attention in view of the increasing need to achieve robust and reliable operations. In the case where uncertainty stems from the presence of adversarial…

机器学习 · 计算机科学 2024-03-25 André Bertolace , Konstatinos Gatsis , Kostas Margellos

In zero-sum games, the optimal strategy is well-defined by the Nash equilibrium. However, it is overly conservative when playing against suboptimal opponents and it can not exploit their weaknesses. Limited look-ahead game solving in…

计算机科学与博弈论 · 计算机科学 2024-04-04 David Milec , Ondřej Kubíček , Viliam Lisý

Nash equilibrium is one of the most influential solution concepts in game theory. With the development of computer science and artificial intelligence, there is an increasing demand on Nash equilibrium computation, especially for Internet…

计算机科学与博弈论 · 计算机科学 2023-12-19 Hanyu Li , Wenhan Huang , Zhijian Duan , David Henry Mguni , Kun Shao , Jun Wang , Xiaotie Deng

This paper considers the problem of inverse reinforcement learning in zero-sum stochastic games when expert demonstrations are known to be not optimal. Compared to previous works that decouple agents in the game by assuming optimality in…

机器学习 · 统计学 2018-06-07 Xingyu Wang , Diego Klabjan

We show that under some general conditions the finite memory determinacy of a class of two-player win/lose games played on finite graphs implies the existence of a Nash equilibrium built from finite memory strategies for the corresponding…

计算机科学与博弈论 · 计算机科学 2017-01-03 Stéphane Le Roux , Arno Pauly

Despite the success of deep learning-based algorithms, it is widely known that neural networks may fail to be robust. A popular paradigm to enforce robustness is adversarial training (AT), however, this introduces many computational and…

机器学习 · 计算机科学 2024-01-18 Nicolas Garcia Trillos , Matt Jacobs , Jakwang Kim , Matthew Werenski

In many game-theoretic settings, agents are challenged with taking decisions against the uncertain behavior exhibited by others. Often, this uncertainty arises from multiple sources, e.g., incomplete information, limited computation,…

计算机科学与博弈论 · 计算机科学 2025-07-22 Nicolas Lanzetti , Sylvain Fricker , Saverio Bolognani , Florian Dörfler , Dario Paccagnan

We study three models of the problem of adversarial training in multiclass classification designed to construct robust classifiers against adversarial perturbations of data in the agnostic-classifier setting. We prove the existence of Borel…

机器学习 · 计算机科学 2023-05-30 Nicolas Garcia Trillos , Matt Jacobs , Jakwang Kim

Zero-sum games arise in a wide variety of problems, including robust optimization and adversarial learning. However, algorithms deployed for finding a local Nash equilibrium in these games often converge to non-Nash stationary points. This…

计算机科学与博弈论 · 计算机科学 2025-09-30 Kushagra Gupta , Xinjie Liu , Ross Allen , Ufuk Topcu , David Fridovich-Keil

Adversarial machine learning concerns situations in which learners face attacks from active adversaries. Such scenarios arise in applications such as spam email filtering, malware detection and fake-image generation, where security methods…

机器学习 · 计算机科学 2024-10-29 David Benfield , Stefano Coniglio , Martin Kunc , Phan Tu Vuong , Alain Zemkoho