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We study the reinforcement learning (RL) problem in a constrained Markov decision process (CMDP), where an agent explores the environment to maximize the expected cumulative reward while satisfying a single constraint on the expected total…

Robustness against adversarial attacks and distribution shifts is a long-standing goal of Reinforcement Learning (RL). To this end, Robust Adversarial Reinforcement Learning (RARL) trains a protagonist against destabilizing forces exercised…

机器学习 · 计算机科学 2023-11-06 Aryaman Reddi , Maximilian Tölle , Jan Peters , Georgia Chalvatzaki , Carlo D'Eramo

Maximum likelihood estimation of energy-based models is a challenging problem due to the intractability of the log-likelihood gradient. In this work, we propose learning both the energy function and an amortized approximate sampling…

机器学习 · 计算机科学 2019-05-29 Rithesh Kumar , Sherjil Ozair , Anirudh Goyal , Aaron Courville , Yoshua Bengio

This paper analyzes a class of infinite-time-horizon stochastic games with singular controls motivated from the partially reversible problem. It provides an explicit solution for the mean-field game (MFG) and presents sensitivity analysis…

最优化与控制 · 数学 2020-08-12 Haoyang Cao , Xin Guo

Computing Nash equilibrium policies is a central problem in multi-agent reinforcement learning that has received extensive attention both in theory and in practice. However, provable guarantees have been thus far either limited to fully…

This paper investigates the design of optimal strategy revision in Population Games (PG) by establishing its connection to finite-state Mean Field Games (MFG). Specifically, by linking Evolutionary Dynamics (ED) -- which models agent…

多智能体系统 · 计算机科学 2025-11-11 Julian Barreiro-Gomez , Shinkyu Park

Mean Field Control Games (MFCG), introduced in [Angiuli et al., 2022a], represent competitive games between a large number of large collaborative groups of agents in the infinite limit of number and size of groups. In this paper, we prove…

最优化与控制 · 数学 2024-06-05 Andrea Angiuli , Jean-Pierre Fouque , Mathieu Laurière , Mengrui Zhang

Inverse reinforcement learning (IRL) offers a powerful and general framework for learning humans' latent preferences in route recommendation, yet no approach has successfully addressed planetary-scale problems with hundreds of millions of…

This work focuses on the entropy-regularized independent natural policy gradient (NPG) algorithm in multi-agent reinforcement learning. In this work, agents are assumed to have access to an oracle with exact policy evaluation and seek to…

机器学习 · 计算机科学 2024-05-07 Youbang Sun , Tao Liu , P. R. Kumar , Shahin Shahrampour

A novel Policy Gradient (PG) algorithm, called $\textit{Matryoshka Policy Gradient}$ (MPG), is introduced and studied, in the context of fixed-horizon max-entropy reinforcement learning, where an agent aims at maximizing entropy bonuses…

机器学习 · 计算机科学 2024-10-10 François Ged , Maria Han Veiga

This paper presents a novel data-driven approach for approximating the $\varepsilon$-Nash equilibrium in continuous-time linear quadratic Gaussian (LQG) games, where multiple agents interact with each other through their dynamics and…

系统与控制 · 电气工程与系统科学 2025-07-22 Zhenhui Xu , Jiayu Chen , Bing-Chang Wang , Tielong Shen

Adversarial training, a special case of multi-objective optimization, is an increasingly prevalent machine learning technique: some of its most notable applications include GAN-based generative modeling and self-play techniques in…

We study the setting of \emph{performative reinforcement learning} where the deployed policy affects both the reward, and the transition of the underlying Markov decision process. Prior work~\parencite{MTR23} has addressed this problem…

机器学习 · 计算机科学 2025-03-18 Debmalya Mandal , Goran Radanovic

Mean field games (MFGs) model the limit of large populations of strategically interacting agents, yet both forward and inverse problems remain challenging. For the forward problem, a difficulty is to design numerical methods with global…

最优化与控制 · 数学 2026-03-12 Hanwei Yan , Xianjin Yang , Jingguo Zhang

We study mean-field games of optimal stopping (OS-MFGs) and introduce an entropy-regularized framework to enable learning-based solution methods. By utilizing randomized stopping times, we reformulate the OS-MFG as a mean-field game of…

最优化与控制 · 数学 2025-09-24 Jodi Dianetti , Roxana Dumitrescu , Giorgio Ferrari , Renyuan Xu

In this work, we consider a novel inverse problem in mean-field games (MFG). We aim to recover the MFG model parameters that govern the underlying interactions among the population based on a limited set of noisy partial observations of the…

数值分析 · 数学 2022-04-12 Yat Tin Chow , Samy Wu Fung , Siting Liu , Levon Nurbekyan , Stanley Osher

A popular perspective in Reinforcement learning (RL) casts the problem as probabilistic inference on a graphical model of the Markov decision process (MDP). The core object of study is the probability of each state-action pair being visited…

机器学习 · 计算机科学 2023-11-23 Jean Tarbouriech , Tor Lattimore , Brendan O'Donoghue

It can be difficult to autonomously produce driver behavior so that it appears natural to other traffic participants. Through Inverse Reinforcement Learning (IRL), we can automate this process by learning the underlying reward function from…

机器人学 · 计算机科学 2022-01-19 Keuntaek Lee , David Isele , Evangelos A. Theodorou , Sangjae Bae

In this paper, we model one-day international cricket games as Markov processes, applying forward and inverse Reinforcement Learning (RL) to develop three novel tools for the game. First, we apply Monte-Carlo learning to fit a nonlinear…

机器学习 · 计算机科学 2021-03-09 Manohar Vohra , George S. D. Gordon

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…

系统与控制 · 电气工程与系统科学 2025-12-02 Gabriel Diaz , Lucky Li , Wenhao Zhang