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In this paper, we propose a novel adaptive-rank method for simulating multi-scale BGK equations, based on a greedy sampling strategy. The method adaptively selects important rows and columns of the solution matrix and updates them using a…

Numerical Analysis · Mathematics 2025-09-09 William A. Sands , Jing-Mei Qiu , Daniel Hayes , Nanyi Zheng

Generating simulations to train intelligent agents in game-playing and robotics from natural language input, from user input or task documentation, remains an open-ended challenge. Existing approaches focus on parts of this challenge, such…

Artificial Intelligence · Computer Science 2024-11-12 Fan-Yun Sun , S. I. Harini , Angela Yi , Yihan Zhou , Alex Zook , Jonathan Tremblay , Logan Cross , Jiajun Wu , Nick Haber

Modeling agent behavior is central to understanding the emergence of complex phenomena in multiagent systems. Prior work in agent modeling has largely been task-specific and driven by hand-engineering domain-specific prior knowledge. We…

Multiagent Systems · Computer Science 2018-08-02 Aditya Grover , Maruan Al-Shedivat , Jayesh K. Gupta , Yura Burda , Harrison Edwards

In multi-agent reinforcement learning (MARL), it is challenging for a collection of agents to learn complex temporally extended tasks. The difficulties lie in computational complexity and how to learn the high-level ideas behind reward…

Multiagent Systems · Computer Science 2021-10-04 Jueming Hu , Zhe Xu , Weichang Wang , Guannan Qu , Yutian Pang , Yongming Liu

Learning by experience in Multi-Agent Systems (MAS) is a difficult and exciting task, due to the lack of stationarity of the environment, whose dynamics evolves as the population learns. In order to design scalable algorithms for systems…

Optimization and Control · Mathematics 2020-02-24 Romuald Elie , Julien Pérolat , Mathieu Laurière , Matthieu Geist , Olivier Pietquin

In this paper, we propose an extremely simple deep model for the unsupervised nonlinear dimensionality reduction -- deep distributed random samplings, which performs like a stack of unsupervised bootstrap aggregating. First, its network…

Machine Learning · Computer Science 2013-12-17 Xiao-Lei Zhang

Sample efficiency remains a key challenge in multi-agent reinforcement learning (MARL). A promising approach is to learn a meaningful latent representation space through auxiliary learning objectives alongside the MARL objective to aid in…

Multiagent Systems · Computer Science 2024-06-06 Dom Huh , Prasant Mohapatra

This paper addresses the problem of learning a Nash equilibrium in $\gamma$-discounted multiplayer general-sum Markov Games (MG). A key component of this model is the possibility for the players to either collaborate or team apart to…

Computer Science and Game Theory · Computer Science 2017-03-07 Julien Pérolat , Florian Strub , Bilal Piot , Olivier Pietquin

We study reward-free reinforcement learning (RL) with linear function approximation, where the agent works in two phases: (1) in the exploration phase, the agent interacts with the environment but cannot access the reward; and (2) in the…

Machine Learning · Computer Science 2024-02-15 Junkai Zhang , Weitong Zhang , Quanquan Gu

This work studies non-cooperative Multi-Agent Reinforcement Learning (MARL) where multiple agents interact in the same environment and whose goal is to maximize the individual returns. Challenges arise when scaling up the number of agents…

Artificial Intelligence · Computer Science 2023-04-14 Talal Algumaei , Ruben Solozabal , Reda Alami , Hakim Hacid , Merouane Debbah , Martin Takac

We study the global convergence of policy optimization for finding the Nash equilibria (NE) in zero-sum linear quadratic (LQ) games. To this end, we first investigate the landscape of LQ games, viewing it as a nonconvex-nonconcave…

Machine Learning · Computer Science 2021-02-12 Kaiqing Zhang , Zhuoran Yang , Tamer Başar

This paper presents a theoretical framework for probably approximately correct (PAC) multi-agent reinforcement learning (MARL) algorithms for Markov games. The paper offers an extension to the well-known Nash Q-learning algorithm, using the…

Computer Science and Game Theory · Computer Science 2020-09-09 Ashkan Zehfroosh , Herbert G. Tanner

In Multi-Agent Reinforcement Learning (MARL), multiple agents interact with a common environment, as also with each other, for solving a shared problem in sequential decision-making. It has wide-ranging applications in gaming, robotics,…

Machine Learning · Computer Science 2022-01-19 Gugan Thoppe , Bhumesh Kumar

Zero-sum games such as chess and poker are, abstractly, functions that evaluate pairs of agents, for example labeling them `winner' and `loser'. If the game is approximately transitive, then self-play generates sequences of agents of…

Machine Learning · Computer Science 2019-05-14 David Balduzzi , Marta Garnelo , Yoram Bachrach , Wojciech M. Czarnecki , Julien Perolat , Max Jaderberg , Thore Graepel

Training a multi-agent reinforcement learning (MARL) model with a sparse reward is generally difficult because numerous combinations of interactions among agents induce a certain outcome (i.e., success or failure). Earlier studies have…

Machine Learning · Computer Science 2022-02-08 Heechang Ryu , Hayong Shin , Jinkyoo Park

Nash Q-learning may be considered one of the first and most known algorithms in multi-agent reinforcement learning (MARL) for learning policies that constitute a Nash equilibrium of an underlying general-sum Markov game. Its original proof…

Machine Learning · Computer Science 2023-03-02 Pedro Cisneros-Velarde , Sanmi Koyejo

We consider the problem of learning low-dimensional representations for large-scale Markov chains. We formulate the task of representation learning as that of mapping the state space of the model to a low-dimensional state space, called the…

Machine Learning · Computer Science 2020-04-09 Mahsa Ghasemi , Abolfazl Hashemi , Haris Vikalo , Ufuk Topcu

Evolutionary game theory studies populations that change in response to an underlying game. Often, the functional form relating outcome to player attributes or strategy is complex, preventing mathematical progress. In this work, we…

Computer Science and Game Theory · Computer Science 2025-11-25 Pablo Lechon-Alonso , Andrew Dennehy , Ruizheng Bai , Nicolas Sanchez , Derek K. Wise , David Sewell , David Rosenbluth , Alexander Strang

Designing socially optimal policies in multi-agent environments is a fundamental challenge in both economics and artificial intelligence. This paper studies a general framework for learning Stackelberg equilibria in dynamic and uncertain…

Systems and Control · Electrical Eng. & Systems 2025-09-23 Jun He , Andrew L. Liu , Yihsu Chen

We design a distributed algorithm to seek generalized Nash equilibria of a robust game with uncertain coupled constraints. Due to the uncertainty of parameters in set constraints, we aim to find a generalized Nash equilibrium in the worst…

Optimization and Control · Mathematics 2022-04-05 Gehui Xu , Guanpu Chen , Hongsheng Qi
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