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The core challenge of offline reinforcement learning (RL) is dealing with the (potentially catastrophic) extrapolation error induced by the distribution shift between the history dataset and the desired policy. A large portion of prior work…

Machine Learning · Computer Science 2023-07-27 Laixi Shi , Robert Dadashi , Yuejie Chi , Pablo Samuel Castro , Matthieu Geist

Hard constraints in reinforcement learning (RL) often degrade policy performance. Lagrangian methods offer a way to blend objectives with constraints, but require intricate reward engineering and parameter tuning. In this work, we extend…

Artificial Intelligence · Computer Science 2025-12-05 William Sharpless , Dylan Hirsch , Sander Tonkens , Nikhil Shinde , Sylvia Herbert

Reinforcement learning (RL) is a dominant paradigm for improving the reasoning abilities of large language models, yet its effectiveness varies across tasks and compute budgets. We propose a \emph{relative-budget} theory explaining this…

Machine Learning · Computer Science 2026-02-03 Akifumi Wachi , Hirota Kinoshita , Shokichi Takakura , Rei Higuchi , Taiji Suzuki

Large reasoning models (LRMs) aim to solve diverse and complex problems through structured reasoning. Recent advances in group-based policy optimization methods have shown promise in enabling stable advantage estimation without reliance on…

Machine Learning · Computer Science 2026-01-29 Zhizheng Jiang , Kang Zhao , Weikai Xu , Xinkui Lin , Wei Liu , Jian Luan , Shuo Shang , Peng Han

We study the regularity properties of integro-partial differential equations of Hamilton-Jocobi-Bellman type with terminal condition, which can be interpreted through a stochastic control system, composed of a forward and a backward…

Probability · Mathematics 2011-10-10 Shuai Jing

We propose a new algorithm for model-based distributional reinforcement learning (RL), and prove that it is minimax-optimal for approximating return distributions with a generative model (up to logarithmic factors), resolving an open…

Machine Learning · Computer Science 2024-11-05 Mark Rowland , Li Kevin Wenliang , Rémi Munos , Clare Lyle , Yunhao Tang , Will Dabney

This paper studies the constrained/safe reinforcement learning (RL) problem with sparse indicator signals for constraint violations. We propose a model-based approach to enable RL agents to effectively explore the environment with unknown…

Artificial Intelligence · Computer Science 2021-03-09 Zuxin Liu , Hongyi Zhou , Baiming Chen , Sicheng Zhong , Martial Hebert , Ding Zhao

When safety is formulated as a limit of cumulative cost, safe reinforcement learning (RL) aims to learn policies that maximize return subject to the cost constraint in data collection and deployment. Off-policy safe RL methods, although…

Machine Learning · Computer Science 2026-03-26 Guopeng Li , Matthijs T. J. Spaan , Julian F. P. Kooij

The standard approach for dealing with the ill-posedness of the training problem in machine learning and/or the reconstruction of a signal from a limited number of measurements is regularization. The method is applicable whenever the…

Optimization and Control · Mathematics 2020-07-13 Michael Unser

We study the problem of learning the optimal control policy for fine-tuning a given diffusion process, using general value function approximation. We develop a new class of algorithms by solving a variational inequality problem based on the…

Machine Learning · Computer Science 2025-09-03 Wenlong Mou

Long-term training of large language models (LLMs) requires maintaining stable exploration to prevent the model from collapsing into sub-optimal behaviors. Entropy is crucial in this context, as it controls exploration and helps avoid…

Machine Learning · Computer Science 2026-02-03 Kai Yang , Xin Xu , Yangkun Chen , Weijie Liu , Jiafei Lyu , Zichuan Lin , Deheng Ye , Saiyong Yang

This paper describes an entropy regularization term for vector quantization (VQ) based on the analysis of persistent homology of the VQ embeddings. Higher embedding entropy positively correlates with higher codebook utilization, mitigating…

Machine Learning · Computer Science 2022-11-29 Ivan Volkov

We systematically explore regularizing neural networks by penalizing low entropy output distributions. We show that penalizing low entropy output distributions, which has been shown to improve exploration in reinforcement learning, acts as…

Neural and Evolutionary Computing · Computer Science 2017-01-24 Gabriel Pereyra , George Tucker , Jan Chorowski , Łukasz Kaiser , Geoffrey Hinton

In this work, we study model-based reinforcement learning (RL) in unknown stabilizable linear dynamical systems. When learning a dynamical system, one needs to stabilize the unknown dynamics in order to avoid system blow-ups. We propose an…

Machine Learning · Computer Science 2022-06-06 Sahin Lale , Kamyar Azizzadenesheli , Babak Hassibi , Anima Anandkumar

Offline reinforcement learning (RL) enables policy learning from fixed datasets without further environment interaction, making it particularly valuable in high-risk or costly domains. Extreme $Q$-Learning (XQL) is a recent offline RL…

Machine Learning · Computer Science 2026-04-15 Xinming Gao , Shangzhe Li , Yujin Cai , Wenwu Yu

We consider reinforcement learning (RL) methods for finding optimal policies in linear quadratic (LQ) mean field control (MFC) problems over an infinite horizon in continuous time, with common noise and entropy regularization. We study…

Optimization and Control · Mathematics 2024-08-06 Noufel Frikha , Huyên Pham , Xuanye Song

We study inverse reinforcement learning (IRL) and imitation learning (IM), the problems of recovering a reward or policy function from expert's demonstrated trajectories. We propose a new way to improve the learning process by adding a…

Machine Learning · Computer Science 2022-08-23 The Viet Bui , Tien Mai , Patrick Jaillet

Reinforcement learning from human feedback (RLHF) emerges as a promising paradigm for aligning large language models (LLMs). However, a notable challenge in RLHF is overoptimization, where beyond a certain threshold, the pursuit of higher…

Machine Learning · Computer Science 2024-01-02 Yuanzhao Zhai , Han Zhang , Yu Lei , Yue Yu , Kele Xu , Dawei Feng , Bo Ding , Huaimin Wang

This paper studies the discrete-time linear-quadratic-Gaussian mean field (MF) social control problem in an infinite horizon, where the dynamics of all agents are unknown. The objective is to design a reinforcement learning (RL) algorithm…

Optimization and Control · Mathematics 2025-12-05 Hanfang Zhang , Bing-Chang Wang , Shuo Chen

Two main challenges in Reinforcement Learning (RL) are designing appropriate reward functions and ensuring the safety of the learned policy. To address these challenges, we present a theoretical framework for Inverse Reinforcement Learning…

Machine Learning · Computer Science 2023-06-02 Andreas Schlaginhaufen , Maryam Kamgarpour
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