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We study infinite-horizon average-reward constrained Markov decision processes (CMDPs) under the weakly communicating assumption. Our contributions are twofold. First, we establish strong duality for weakly communicating average-reward…

机器学习 · 计算机科学 2026-05-13 Kihyun Yu , Beomhan Baek , Dabeen Lee

In constrained reinforcement learning (RL), a learning agent seeks to not only optimize the overall reward but also satisfy the additional safety, diversity, or budget constraints. Consequently, existing constrained RL solutions require…

机器学习 · 计算机科学 2021-07-13 Sobhan Miryoosefi , Chi Jin

In this paper we design hybrid control policies for hybrid systems whose mathematical models are unknown. Our contributions are threefold. First, we propose a framework for modelling the hybrid control design problem as a single Markov…

系统与控制 · 电气工程与系统科学 2020-09-03 Meet Gandhi , Atreyee Kundu , Shalabh Bhatnagar

We present a unified framework based on primal-dual stochastic mirror descent for approximately solving infinite-horizon Markov decision processes (MDPs) given a generative model. When applied to an average-reward MDP with $A_{tot}$ total…

机器学习 · 计算机科学 2020-08-31 Yujia Jin , Aaron Sidford

We study a Q learning algorithm for continuous time stochastic control problems. The proposed algorithm uses the sampled state process by discretizing the state and control action spaces under piece-wise constant control processes. We show…

最优化与控制 · 数学 2023-03-10 Erhan Bayraktar , Ali Devran Kara

This paper addresses the problem of model-free reinforcement learning for Robust Markov Decision Process (RMDP) with large state spaces. The goal of the RMDP framework is to find a policy that is robust against the parameter uncertainties…

机器学习 · 计算机科学 2021-02-15 Kishan Panaganti , Dileep Kalathil

Learning from demonstration has proven effective in robotics for acquiring natural behaviors, such as stylistic motions and lifelike agility, particularly when explicitly defining style-oriented reward functions is challenging. Synthesizing…

机器人学 · 计算机科学 2025-09-24 Kehan Wen , Chenhao Li , Junzhe He , Marco Hutter

We consider a class of optimization problems over stochastic variables where the algorithm can learn information about the value of any variable through a series of costly steps; we model this information acquisition process as a Markov…

数据结构与算法 · 计算机科学 2025-07-25 Shuchi Chawla , Dimitris Christou , Amit Harlev , Ziv Scully

We develop a novel unified randomized block-coordinate primal-dual algorithm to solve a class of nonsmooth constrained convex optimization problems, which covers different existing variants and model settings from the literature. We prove…

最优化与控制 · 数学 2021-10-29 Quoc Tran-Dinh , Deyi Liu

Primal-dual safe RL methods commonly perform iterations between the primal update of the policy and the dual update of the Lagrange Multiplier. Such a training paradigm is highly susceptible to the error in cumulative cost estimation since…

机器学习 · 计算机科学 2024-04-16 Zifan Wu , Bo Tang , Qian Lin , Chao Yu , Shangqin Mao , Qianlong Xie , Xingxing Wang , Dong Wang

This paper studies the optimization of Markov decision processes (MDPs) from a risk-seeking perspective, where the risk is measured by conditional value-at-risk (CVaR). The objective is to find a policy that maximizes the long-run CVaR of…

最优化与控制 · 数学 2023-12-05 Li Xia , Zhihui Yu , Peter W. Glynn

This paper investigates value function approximation in the context of zero-sum Markov games, which can be viewed as a generalization of the Markov decision process (MDP) framework to the two-agent case. We generalize error bounds from MDPs…

人工智能 · 计算机科学 2013-01-07 Michail Lagoudakis , Ron Parr

This thesis develops theoretical frameworks and algorithms that advance constrained reinforcement learning (RL) across control, preference learning, and alignment of large language models. The first contribution addresses constrained Markov…

机器学习 · 计算机科学 2025-12-12 Akhil Agnihotri

To plan safely in uncertain environments, agents must balance utility with safety constraints. Safe planning problems can be modeled as a chance-constrained partially observable Markov decision process (CC-POMDP) and solutions often use…

人工智能 · 计算机科学 2024-05-02 Robert J. Moss , Arec Jamgochian , Johannes Fischer , Anthony Corso , Mykel J. Kochenderfer

We propose a successive convex approximation based off-policy optimization (SCAOPO) algorithm to solve the general constrained reinforcement learning problem, which is formulated as a constrained Markov decision process (CMDP) in the…

机器学习 · 计算机科学 2022-04-20 Chang Tian , An Liu , Guang Huang , Wu Luo

In the contextual linear bandit setting, algorithms built on the optimism principle fail to exploit the structure of the problem and have been shown to be asymptotically suboptimal. In this paper, we follow recent approaches of deriving…

机器学习 · 计算机科学 2020-11-23 Andrea Tirinzoni , Matteo Pirotta , Marcello Restelli , Alessandro Lazaric

We study continuous action reinforcement learning problems in which it is crucial that the agent interacts with the environment only through safe policies, i.e.,~policies that do not take the agent to undesirable situations. We formulate…

机器学习 · 计算机科学 2019-02-13 Yinlam Chow , Ofir Nachum , Aleksandra Faust , Edgar Duenez-Guzman , Mohammad Ghavamzadeh

The Markov decision process (MDP) formulation used to model many real-world sequential decision making problems does not efficiently capture the setting where the set of available decisions (actions) at each time step is stochastic.…

机器学习 · 计算机科学 2020-01-22 Yash Chandak , Georgios Theocharous , Blossom Metevier , Philip S. Thomas

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

Constrained Reinforcement Learning has been employed to enforce safety constraints on policy through the use of expected cost constraints. The key challenge is in handling expected cost accumulated using the policy and not just in a single…

机器学习 · 计算机科学 2024-01-17 Hao Jiang , Tien Mai , Pradeep Varakantham , Minh Huy Hoang
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