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Our work focuses on extra gradient learning algorithms for finding Nash equilibria in bilinear zero-sum games. The proposed method, which can be formally considered as a variant of Optimistic Mirror Descent…

Computer Science and Game Theory · Computer Science 2022-03-09 Michail Fasoulakis , Evangelos Markakis , Yannis Pantazis , Constantinos Varsos

We study the alternating gradient descent-ascent (AltGDA) algorithm in two-player zero-sum games. Alternating methods, where players take turns to update their strategies, have long been recognized as simple and practical approaches for…

Computer Science and Game Theory · Computer Science 2026-03-03 Tianlong Nan , Shuvomoy Das Gupta , Garud Iyengar , Christian Kroer

Contemporary applications of machine learning in two-team e-sports and the superior expressivity of multi-agent generative adversarial networks raise important and overlooked theoretical questions regarding optimization in two-team games.…

Computer Science and Game Theory · Computer Science 2023-04-18 Fivos Kalogiannis , Ioannis Panageas , Emmanouil-Vasileios Vlatakis-Gkaragkounis

Inverse reinforcement learning (IRL) addresses the problem of recovering a task description given a demonstration of the optimal policy used to solve such a task. The optimal policy is usually provided by an expert or teacher, making IRL…

Machine Learning · Computer Science 2012-02-09 Héctor Ratia , Luis Montesano , Ruben Martinez-Cantin

Recently, invariant risk minimization (IRM) (Arjovsky et al.) was proposed as a promising solution to address out-of-distribution (OOD) generalization. In Ahuja et al., it was shown that solving for the Nash equilibria of a new class of…

Machine Learning · Computer Science 2020-10-30 Kartik Ahuja , Karthikeyan Shanmugam , Amit Dhurandhar

We consider online no-regret learning in unknown games with bandit feedback, where each player can only observe its reward at each time -- determined by all players' current joint action -- rather than its gradient. We focus on the class of…

Machine Learning · Computer Science 2024-04-01 Wenjia Ba , Tianyi Lin , Jiawei Zhang , Zhengyuan Zhou

Inverse Reinforcement Learning (IRL) is the task of learning a single reward function given a Markov Decision Process (MDP) without defining the reward function, and a set of demonstrations generated by humans/experts. However, in practice,…

Artificial Intelligence · Computer Science 2017-12-18 Siddharthan Rajasekaran , Jinwei Zhang , Jie Fu

Reinforcement Learning (RL) has emerged as a powerful framework for sequential decision-making in dynamic environments, particularly when system parameters are unknown. This paper investigates RL-based control for entropy-regularized…

Systems and Control · Electrical Eng. & Systems 2025-12-02 Gabriel Diaz , Lucky Li , Wenhao Zhang

Last-iterate convergence has received extensive study in two player zero-sum games starting from bilinear, convex-concave up to settings that satisfy the MVI condition. Typical methods that exhibit last-iterate convergence for the…

Computer Science and Game Theory · Computer Science 2023-10-05 Yi Feng , Hu Fu , Qun Hu , Ping Li , Ioannis Panageas , Bo Peng , Xiao Wang

We study turn-based quantitative games of infinite duration opposing two antagonistic players and played over graphs. This model is widely accepted as providing the adequate framework for formalizing the synthesis question for reactive…

Computer Science and Game Theory · Computer Science 2023-06-22 Pierre Ohlmann

This work studies an algorithm, which we call magnetic mirror descent, that is inspired by mirror descent and the non-Euclidean proximal gradient algorithm. Our contribution is demonstrating the virtues of magnetic mirror descent as both an…

Current visual evaluation approaches are typically constrained to a single task. To address this, we propose OmniQuality-R, a unified reward modeling framework that transforms multi-task quality reasoning into continuous and interpretable…

Computer Vision and Pattern Recognition · Computer Science 2025-10-14 Yiting Lu , Fengbin Guan , Yixin Gao , Yan Zhong , Xinge Peng , Jiakang Yuan , Yihao Liu , Bo Zhang , Xin Li , Zhibo Chen , Weisi Lin

Trustworthiness reasoning aims to enable agents in multiplayer games with incomplete information to identify potential allies and adversaries, thereby enhancing decision-making. In this paper, we introduce the graph retrieval-augmented…

Artificial Intelligence · Computer Science 2025-01-28 Ying Zhu , Shengchang Li , Ziqian Kong , Qiang Yang , Peilan Xu

We study the problem of designing autonomous agents that can learn to cooperate effectively with a potentially suboptimal partner while having no access to the joint reward function. This problem is modeled as a cooperative episodic…

Machine Learning · Computer Science 2022-06-14 Thomas Kleine Buening , Anne-Marie George , Christos Dimitrakakis

We study the problem of learning a Nash equilibrium (NE) in an imperfect information game (IIG) through self-play. Precisely, we focus on two-player, zero-sum, episodic, tabular IIG under the perfect-recall assumption where the only…

Machine Learning · Statistics 2021-06-14 Tadashi Kozuno , Pierre Ménard , Rémi Munos , Michal Valko

Quantum games have gained much popularity in the last two decades. Many of these quantum games are a redefinition of iconic classical games to fit the quantum world, and they gain many different properties and solutions in this different…

The mean field games (MFG) theory has broad application in mathematical modeling of social phenomena. The Mean Field Games System (MFGS) is the key to the MFG theory. This is a system of two nonlinear parabolic partial differential…

Analysis of PDEs · Mathematics 2024-02-26 Michael V. Klibanov , Jingzhi Li , Hongyu Liu

Various methods for solving the inverse reinforcement learning (IRL) problem have been developed independently in machine learning and economics. In particular, the method of Maximum Causal Entropy IRL is based on the perspective of entropy…

Machine Learning · Computer Science 2021-03-05 Navyata Sanghvi , Shinnosuke Usami , Mohit Sharma , Joachim Groeger , Kris Kitani

Reinforcement learning (RL) problems where the learner attempts to infer an unobserved reward from some feedback variables have been studied in several recent papers. The setting of Interaction-Grounded Learning (IGL) is an example of such…

Machine Learning · Computer Science 2024-02-05 Xiaoyan Hu , Farzan Farnia , Ho-fung Leung

We introduce a near-linear complexity (geometric and meshless/algebraic) multigrid/multiresolution method for PDEs with rough ($L^\infty$) coefficients with rigorous a-priori accuracy and performance estimates. The method is discovered…

Numerical Analysis · Mathematics 2017-02-13 Houman Owhadi