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We study discrete-time discounted constrained Markov decision processes (CMDPs) on Borel spaces with unbounded reward functions. In our approach the transition probability functions are weakly or set-wise continuous. The reward functions…

最优化与控制 · 数学 2019-03-29 Eugene A. Feinberg , Anna Jaśkiewicz , Andrzej S. Nowak

We consider reinforcement learning (RL) in episodic Markov decision processes (MDPs) with linear function approximation under drifting environment. Specifically, both the reward and state transition functions can evolve over time but their…

机器学习 · 计算机科学 2024-04-16 Huozhi Zhou , Jinglin Chen , Lav R. Varshney , Ashish Jagmohan

Model-based reinforcement learning (MBRL) provides a way to learn a transition model of the environment, which can then be used to plan personalized policies for different patient cohorts and to understand the dynamics involved in the…

机器学习 · 计算机科学 2024-11-22 Abhishek Sharma , Sonali Parbhoo , Omer Gottesman , Finale Doshi-Velez

Reinforcement fine-tuning with verifiable rewards (RLVR) has emerged as a powerful paradigm for equipping large vision-language models (LVLMs) with agentic capabilities such as tool use and multi-step reasoning. Despite striking empirical…

机器学习 · 计算机科学 2026-04-23 Carter Adams , Rafael Oliveira , Gabriel Almeida , Sofia Torres

Though deep reinforcement learning (DRL) has obtained substantial success, it may encounter catastrophic failures due to the intrinsic uncertainty of both transition and observation. Most of the existing methods for safe reinforcement…

机器学习 · 计算机科学 2025-05-20 Chengyang Ying , Xinning Zhou , Hang Su , Dong Yan , Ning Chen , Jun Zhu

Traditional reinforcement learning (RL) assumes the agents make decisions based on Markov decision processes (MDPs) with one-step transition models. In many real-world applications, such as energy management and stock investment, agents can…

机器学习 · 计算机科学 2025-10-22 Chenbei Lu , Zaiwei Chen , Tongxin Li , Chenye Wu , Adam Wierman

Traditional reinforcement learning (RL) aims to maximize the expected total reward, while the risk of uncertain outcomes needs to be controlled to ensure reliable performance in a risk-averse setting. In this paper, we consider the problem…

机器学习 · 计算机科学 2023-01-18 Xian Yu , Siqian Shen

This paper tackles the problem of learning value functions from undirected state-only experience (state transitions without action labels i.e. (s,s',r) tuples). We first theoretically characterize the applicability of Q-learning in this…

机器学习 · 计算机科学 2022-04-27 Matthew Chang , Arjun Gupta , Saurabh Gupta

We study multi-task reinforcement learning (RL) in tabular episodic Markov decision processes (MDPs). We formulate a heterogeneous multi-player RL problem, in which a group of players concurrently face similar but not necessarily identical…

机器学习 · 计算机科学 2022-01-19 Chicheng Zhang , Zhi Wang

This paper analyzes reinforcement learning (RL) algorithms for Markov decision processes (MDPs) under the average-reward criterion. We focus on Q-learning algorithms based on relative value iteration (RVI), which are model-free stochastic…

机器学习 · 计算机科学 2024-08-30 Yi Wan , Huizhen Yu , Richard S. Sutton

Markov Decision Processes (MDPs) are a mathematical framework for modeling sequential decision making under uncertainty. The classical approaches for solving MDPs are well known and have been widely studied, some of which rely on…

机器学习 · 计算机科学 2018-05-18 Joshua R. Bertram , Xuxi Yang , Peng Wei

Value-based methods play a fundamental role in Markov decision processes (MDPs) and reinforcement learning (RL). In this paper, we present a unified control-theoretic framework for analyzing valued-based methods such as value computation…

最优化与控制 · 数学 2022-02-15 Xingang Guo , Bin Hu

The problem of selecting the right state-representation in a reinforcement learning problem is considered. Several models (functions mapping past observations to a finite set) of the observations are given, and it is known that for at least…

机器学习 · 计算机科学 2013-02-12 Odalric-Ambrym Maillard , Rémi Munos , Daniil Ryabko

The linear Markov Decision Process (MDP) framework offers a principled foundation for reinforcement learning (RL) with strong theoretical guarantees and sample efficiency. However, its restrictive assumption-that both transition dynamics…

机器学习 · 统计学 2025-06-03 Sinian Zhang , Kaicheng Zhang , Ziping Xu , Tianxi Cai , Doudou Zhou

Robust Markov Decision Processes (RMDPs) have received significant research interest, offering an alternative to standard Markov Decision Processes (MDPs) that often assume fixed transition probabilities. RMDPs address this by optimizing…

机器学习 · 计算机科学 2024-05-06 Xinyi Ni , Lifeng Lai

Randomized experiments (a.k.a. A/B tests) are a powerful tool for estimating treatment effects, to inform decisions making in business, healthcare and other applications. In many problems, the treatment has a lasting effect that evolves…

机器学习 · 计算机科学 2022-10-17 Ziyang Tang , Yiheng Duan , Stephanie Zhang , Lihong Li

Optimizing risk-averse objectives in discounted MDPs is challenging because most models do not admit direct dynamic programming equations and require complex history-dependent policies. In this paper, we show that the risk-averse {\em total…

机器学习 · 计算机科学 2025-07-15 Xihong Su , Julien Grand-Clément , Marek Petrik

We consider reinforcement learning in changing Markov Decision Processes where both the state-transition probabilities and the reward functions may vary over time. For this problem setting, we propose an algorithm using a sliding window…

机器学习 · 计算机科学 2018-05-28 Pratik Gajane , Ronald Ortner , Peter Auer

Reinforcement learning algorithms are typically designed for generic Markov Decision Processes (MDPs), where any state-action pair can lead to an arbitrary transition distribution. In many practical systems, however, only a subset of the…

机器学习 · 计算机科学 2026-03-05 Davide Maran , Davide Salaorni , Marcello Restelli

Reinforcement learning in non-stationary environments is challenging due to abrupt and unpredictable changes in dynamics, often causing traditional algorithms to fail to converge. However, in many real-world cases, non-stationarity has some…

机器学习 · 计算机科学 2025-03-25 Mohsen Amiri , Sindri Magnússon