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Mean field games (MFGs) have emerged as a powerful framework for modeling interactions in large-scale multi-agent systems. Despite recent advancements in reinforcement learning (RL) for MFGs, existing methods are typically limited to finite…

Machine Learning · Computer Science 2025-10-28 Lorenzo Magnino , Kai Shao , Zida Wu , Jiacheng Shen , Mathieu Laurière

This paper introduces novel Bellman mappings (B-Maps) for value iteration (VI) in distributed reinforcement learning (DRL), where agents are deployed over an undirected, connected graph/network with arbitrary topology -- but without a…

Machine Learning · Computer Science 2025-10-09 Yuki Akiyama , Konstantinos Slavakis

Distributional Reinforcement Learning (RL) differs from traditional RL in that, rather than the expectation of total returns, it estimates distributions and has achieved state-of-the-art performance on Atari Games. The key challenge in…

Machine Learning · Computer Science 2020-08-04 Derek Yang , Li Zhao , Zichuan Lin , Tao Qin , Jiang Bian , Tieyan Liu

Reinforcement learning (RL) combines a control problem with statistical estimation: The system dynamics are not known to the agent, but can be learned through experience. A recent line of research casts `RL as inference' and suggests a…

Machine Learning · Computer Science 2020-11-05 Brendan O'Donoghue , Ian Osband , Catalin Ionescu

In reinforcement learning (RL), the consideration of multivariate reward signals has led to fundamental advancements in multi-objective decision-making, transfer learning, and representation learning. This work introduces the first…

Machine Learning · Computer Science 2024-09-05 Harley Wiltzer , Jesse Farebrother , Arthur Gretton , Mark Rowland

We study the multi-step off-policy learning approach to distributional RL. Despite the apparent similarity between value-based RL and distributional RL, our study reveals intriguing and fundamental differences between the two cases in the…

Machine Learning · Computer Science 2022-07-18 Yunhao Tang , Mark Rowland , Rémi Munos , Bernardo Ávila Pires , Will Dabney , Marc G. Bellemare

In offline reinforcement learning, a policy is learned using a static dataset in the absence of costly feedback from the environment. In contrast to the online setting, only using static datasets poses additional challenges, such as…

Machine Learning · Computer Science 2025-12-16 Marvin Alles , Philip Becker-Ehmck , Patrick van der Smagt , Maximilian Karl

Reinforcement learning is typically treated as a uniform, data-driven optimization process, where updates are guided by rewards and temporal-difference errors without explicitly exploiting global structure. In contrast, dynamic programming…

Machine Learning · Computer Science 2026-04-21 Ivo Nowak

Reinforcement learning (RL) studies how an agent comes to achieve reward in an environment through interactions over time. Recent advances in machine RL have surpassed human expertise at the world's oldest board games and many classic video…

Artificial Intelligence · Computer Science 2021-07-28 Pedro A. Tsividis , Joao Loula , Jake Burga , Nathan Foss , Andres Campero , Thomas Pouncy , Samuel J. Gershman , Joshua B. Tenenbaum

Although distributional reinforcement learning (DRL) has been widely examined in the past few years, very few studies investigate the validity of the obtained Q-function estimator in the distributional setting. To fully understand how the…

Machine Learning · Computer Science 2023-08-01 Qi Kuang , Zhoufan Zhu , Liwen Zhang , Fan Zhou

We present a maximum entropy inverse reinforcement learning (IRL) approach for improving the sample quality of diffusion generative models, especially when the number of generation time steps is small. Similar to how IRL trains a policy…

Machine Learning · Computer Science 2024-11-01 Sangwoong Yoon , Himchan Hwang , Dohyun Kwon , Yung-Kyun Noh , Frank C. Park

Reinforcement learning (RL) for reachability specifications is fundamental in sequential decision-making, yet theoretical guarantees remain less explored. A recent work achieves asymptotic convergence to optimal policies. However, this…

Machine Learning · Computer Science 2026-05-26 Amogh Palasamudram , Jakub Svoboda , Suguman Bansal , Krishnendu Chatterjee

Quantifying uncertainty about a policy's long-term performance is important to solve sequential decision-making tasks. We study the problem from a model-based Bayesian reinforcement learning perspective, where the goal is to learn the…

Machine Learning · Computer Science 2024-09-04 Carlos E. Luis , Alessandro G. Bottero , Julia Vinogradska , Felix Berkenkamp , Jan Peters

In offline reinforcement learning (RL), we seek to utilize offline data to evaluate (or learn) policies in scenarios where the data are collected from a distribution that substantially differs from that of the target policy to be evaluated.…

Machine Learning · Computer Science 2021-03-09 Ruosong Wang , Yifan Wu , Ruslan Salakhutdinov , Sham M. Kakade

Reinforcement learning (RL) is currently one of the most prominent methods for optimizing dynamical systems, with breakthrough results across various fields. The framework is based on the concept of a Markov decision process (MDP), leading…

Optimization and Control · Mathematics 2025-11-17 Rene Carmona , Mathieu Lauriere

The framework of deep reinforcement learning (DRL) provides a powerful and widely applicable mathematical formalization for sequential decision-making. This paper present a novel DRL framework, termed \emph{$f$-Divergence Reinforcement…

Machine Learning · Computer Science 2021-12-15 Chen Gong , Qiang He , Yunpeng Bai , Zhou Yang , Xiaoyu Chen , Xinwen Hou , Xianjie Zhang , Yu Liu , Guoliang Fan

This paper presents a novel approach to multi-agent reinforcement learning (RL) for linear systems with convex polytopic constraints. Existing work on RL has demonstrated the use of model predictive control (MPC) as a function approximator…

Systems and Control · Electrical Eng. & Systems 2025-01-06 Samuel Mallick , Filippo Airaldi , Azita Dabiri , Bart De Schutter

Function approximation has been an indispensable component in modern reinforcement learning algorithms designed to tackle problems with large state spaces in high dimensions. This paper reviews recent results on error analysis for these…

Machine Learning · Computer Science 2024-02-27 Jihao Long , Jiequn Han

Reinforcement learning (RL) methods learn optimal decisions in the presence of a stationary environment. However, the stationary assumption on the environment is very restrictive. In many real world problems like traffic signal control,…

Machine Learning · Computer Science 2020-06-08 Sindhu Padakandla , Prabuchandran K. J , Shalabh Bhatnagar

In this paper, we prove that Distributional Reinforcement Learning (DistRL), which learns the return distribution, can obtain second-order bounds in both online and offline RL in general settings with function approximation. Second-order…

Machine Learning · Computer Science 2024-02-13 Kaiwen Wang , Owen Oertell , Alekh Agarwal , Nathan Kallus , Wen Sun