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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

In the pursuit of finding an optimal policy, reinforcement learning (RL) methods generally ignore the properties of learned policies apart from their expected return. Thus, even when successful, it is difficult to characterize which…

机器学习 · 计算机科学 2025-10-10 Yash Jhaveri , Harley Wiltzer , Patrick Shafto , Marc G. Bellemare , David Meger

Achieving robust coordination and cooperation is a central challenge in multi-agent reinforcement learning (MARL). Uncovering the mechanisms underlying such emergent behaviors calls for a dynamical understanding of learn processes. In this…

物理与社会 · 物理学 2026-01-13 Yuxin Geng , Wolfram Barfuss , Feng Fu , Xingru Chen

Actor-critic (AC) is a powerful method for learning an optimal policy in reinforcement learning, where the critic uses algorithms, e.g., temporal difference (TD) learning with function approximation, to evaluate the current policy and the…

机器学习 · 计算机科学 2024-06-05 Yudan Wang , Yue Wang , Yi Zhou , Shaofeng Zou

We study policy gradient for mean-field control in continuous time in a reinforcement learning setting. By considering randomised policies with entropy regularisation, we derive a gradient expectation representation of the value function,…

机器学习 · 统计学 2023-03-14 Noufel Frikha , Maximilien Germain , Mathieu Laurière , Huyên Pham , Xuanye Song

In this work, we present new proofs of convergence for Plug-and-Play (PnP) algorithms. PnP methods are efficient iterative algorithms for solving image inverse problems where regularization is performed by plugging a pre-trained denoiser in…

最优化与控制 · 数学 2023-11-03 Samuel Hurault , Antonin Chambolle , Arthur Leclaire , Nicolas Papadakis

We establish a new connection between value and policy based reinforcement learning (RL) based on a relationship between softmax temporal value consistency and policy optimality under entropy regularization. Specifically, we show that…

人工智能 · 计算机科学 2017-11-27 Ofir Nachum , Mohammad Norouzi , Kelvin Xu , Dale Schuurmans

Multi-agent reinforcement learning has been successfully applied to a number of challenging problems. Despite these empirical successes, theoretical understanding of different algorithms is lacking, primarily due to the curse of…

机器学习 · 计算机科学 2021-12-28 Yuwei Luo , Zhuoran Yang , Zhaoran Wang , Mladen Kolar

Mixture models are an expressive hypothesis class that can approximate a rich set of policies. However, using mixture policies in the Maximum Entropy (MaxEnt) framework is not straightforward. The entropy of a mixture model is not equal to…

机器学习 · 计算机科学 2021-03-19 Nir Baram , Guy Tennenholtz , Shie Mannor

Public health organizations face the problem of dispensing treatments (i.e., vaccines, antibiotics, and others) to groups of affected populations through "points-of-dispensing" (PODs) during emergency situations, typically in the presence…

最优化与控制 · 数学 2021-05-04 Yijia Wang , Daniel R. Jiang

Large language models (LLMs) have shown promise in performing complex multi-step reasoning, yet they continue to struggle with mathematical reasoning, often making systematic errors. A promising solution is reinforcement learning (RL)…

机器学习 · 计算机科学 2025-09-22 Hanning Zhang , Pengcheng Wang , Shizhe Diao , Yong Lin , Rui Pan , Hanze Dong , Dylan Zhang , Pavlo Molchanov , Tong Zhang

Regularization is a core component of recent Reinforcement Learning (RL) algorithms. Mirror Descent Value Iteration (MDVI) uses both Kullback-Leibler divergence and entropy as regularizers in its value and policy updates. Despite its…

机器学习 · 计算机科学 2026-01-09 Ryo Iwaki

Reinforcement learning (RL) problems over general state and action spaces are notoriously challenging. In contrast to the tableau setting, one can not enumerate all the states and then iteratively update the policies for each state. This…

机器学习 · 计算机科学 2026-03-24 Caleb Ju , Guanghui Lan

In this paper, we develop a novel variant of off-policy natural actor-critic algorithm with linear function approximation and we establish a sample complexity of $\mathcal{O}(\epsilon^{-3})$, outperforming all the previously known…

机器学习 · 计算机科学 2022-04-13 Zaiwei Chen , Sajad Khodadadian , Siva Theja Maguluri

For a general entropy-regularized stochastic control problem on an infinite horizon, we prove that a policy iteration algorithm (PIA) converges to an optimal relaxed control. Contrary to the standard stochastic control literature, classical…

最优化与控制 · 数学 2026-05-14 Yu-Jui Huang , Zhenhua Wang , Zhou Zhou

The actor-critic (AC) algorithm is a popular method to find an optimal policy in reinforcement learning. In the infinite horizon scenario, the finite-sample convergence rate for the AC and natural actor-critic (NAC) algorithms has been…

机器学习 · 计算机科学 2021-02-15 Tengyu Xu , Zhe Wang , Yingbin Liang

Existing training criteria in automatic speech recognition(ASR) permit the model to freely explore more than one time alignments between the feature and label sequences. In this paper, we use entropy to measure a model's uncertainty, i.e.…

计算与语言 · 计算机科学 2022-12-26 Ehsan Variani , Ke Wu , David Rybach , Cyril Allauzen , Michael Riley

Stochastic and soft optimal policies resulting from entropy-regularized Markov decision processes (ER-MDP) are desirable for exploration and imitation learning applications. Motivated by the fact that such policies are sensitive with…

机器学习 · 计算机科学 2022-01-03 Tien Mai , Patrick Jaillet

In this effort, we consider the impact of regularization on the diversity of actions taken by policies generated from reinforcement learning agents trained using a policy gradient. Policy gradient agents are prone to entropy collapse, which…

机器学习 · 计算机科学 2023-10-10 Andrew Starnes , Anton Dereventsov , Clayton Webster

We study a new two-time-scale stochastic gradient method for solving optimization problems, where the gradients are computed with the aid of an auxiliary variable under samples generated by time-varying MDPs controlled by the underlying…

最优化与控制 · 数学 2024-08-27 Sihan Zeng , Thinh T. Doan , Justin Romberg