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We study a primal-dual (PD) reinforcement learning (RL) algorithm for online constrained Markov decision processes (CMDPs). Despite its widespread practical use, the existing theoretical literature on PD-RL algorithms for this problem only…

The problem of constrained Markov decision process (CMDP) is investigated, where an agent aims to maximize the expected accumulated discounted reward subject to multiple constraints on its utilities/costs. A new primal-dual approach is…

最优化与控制 · 数学 2021-10-22 Tianjiao Li , Ziwei Guan , Shaofeng Zou , Tengyu Xu , Yingbin Liang , Guanghui Lan

Constrained Reinforcement Learning (CRL) aims to optimize decision-making policies under constraint conditions, making it highly applicable to safety-critical domains such as autonomous driving, robotics, and power grid management. However,…

机器学习 · 计算机科学 2026-02-16 Wentao Xu , Zhongming Yao , Weihao Li , Zhenghang Song , Yumeng Song , Tianyi Li , Yushuai Li

We study online learning in constrained Markov decision processes (CMDPs) with adversarial losses and stochastic hard constraints, under bandit feedback. We consider three scenarios. In the first one, we address general CMDPs, where we…

机器学习 · 计算机科学 2025-02-10 Francesco Emanuele Stradi , Matteo Castiglioni , Alberto Marchesi , Nicola Gatti

Many physical systems have underlying safety considerations that require that the policy employed ensures the satisfaction of a set of constraints. The analytical formulation usually takes the form of a Constrained Markov Decision Process…

机器学习 · 计算机科学 2021-03-03 Aria HasanzadeZonuzy , Archana Bura , Dileep Kalathil , Srinivas Shakkottai

Designing sample-efficient and computationally feasible reinforcement learning (RL) algorithms is particularly challenging in environments with large or infinite state and action spaces. In this paper, we advance this effort by presenting…

机器学习 · 计算机科学 2024-10-04 Zakaria Mhammedi

We use the Reward Biased Maximum Likelihood Estimation (RBMLE) algorithm to learn optimal policies for constrained Markov Decision Processes (CMDPs). We analyze the learning regrets of RBMLE.

最优化与控制 · 数学 2021-05-31 Rahul Singh

This dissertation makes three main contributions. First, We identify a new connection between policy gradient and dynamic programming in MMDPs and propose the Coordinate Ascent Dynamic Programming (CADP) algorithm to compute a Markov policy…

机器学习 · 计算机科学 2025-10-21 Xihong Su

Any reinforcement learning algorithm that applies to all Markov decision processes (MDPs) will suffer $\Omega(\sqrt{SAT})$ regret on some MDP, where $T$ is the elapsed time and $S$ and $A$ are the cardinalities of the state and action…

机器学习 · 统计学 2014-11-04 Ian Osband , Benjamin Van Roy

Constrained Reinforcement Learning (CRL) addresses sequential decision-making problems where agents are required to achieve goals by maximizing the expected return while meeting domain-specific constraints. In this setting, policy-based…

机器学习 · 计算机科学 2025-06-09 Alessandro Montenegro , Leonardo Cesani , Marco Mussi , Matteo Papini , Alberto Maria Metelli

We study safe reinforcement learning in finite-horizon linear mixture constrained Markov decision processes (CMDPs) with adversarial rewards under full-information feedback and an unknown transition kernel. We propose a primal-dual policy…

机器学习 · 计算机科学 2026-03-31 Kihyun Yu , Seoungbin Bae , Dabeen Lee

Constrained Markov decision processes (CMDPs) model scenarios of sequential decision making with multiple objectives that are increasingly important in many applications. However, the model is often unknown and must be learned online while…

机器学习 · 计算机科学 2023-01-30 Krishna C Kalagarla , Rahul Jain , Pierluigi Nuzzo

We consider online reinforcement learning in episodic Markov decision process (MDP) with unknown transition function and stochastic rewards drawn from some fixed but unknown distribution. The learner aims to learn the optimal policy and…

机器学习 · 计算机科学 2024-03-12 Vincent Leon , S. Rasoul Etesami

We make an important connection to existing results in econometrics to describe an alternative formulation of inverse reinforcement learning (IRL). In particular, we describe an algorithm using Conditional Choice Probabilities (CCP), which…

人工智能 · 计算机科学 2017-09-25 Mohit Sharma , Kris M. Kitani , Joachim Groeger

Constrained reinforcement learning has achieved promising progress in safety-critical fields where both rewards and constraints are considered. However, constrained reinforcement learning methods face challenges in striking the right…

机器学习 · 计算机科学 2024-10-29 Jianmina Ma , Jingtian Ji , Yue Gao

We present a model-free reinforcement learning algorithm to find an optimal policy for a finite-horizon Markov decision process while guaranteeing a desired lower bound on the probability of satisfying a signal temporal logic (STL)…

系统与控制 · 电气工程与系统科学 2021-09-29 Krishna C. Kalagarla , Rahul Jain , Pierluigi Nuzzo

This paper focuses on learning a Constrained Markov Decision Process (CMDP) via general parameterized policies. We propose a Primal-Dual based Regularized Accelerated Natural Policy Gradient (PDR-ANPG) algorithm that uses entropy and…

机器学习 · 计算机科学 2026-05-04 Washim Uddin Mondal , Vaneet Aggarwal

Learning Markov decision processes (MDPs) in the presence of the adversary is a challenging problem in reinforcement learning (RL). In this paper, we study RL in episodic MDPs with adversarial reward and full information feedback, where the…

机器学习 · 计算机科学 2022-04-21 Jiafan He , Dongruo Zhou , Quanquan Gu

Constrained Markov decision processes (CMDPs) are a common way to model safety constraints in reinforcement learning. State-of-the-art methods for efficiently solving CMDPs are based on primal-dual algorithms. For these algorithms, all…

机器学习 · 计算机科学 2024-07-22 Adrian Müller , Pragnya Alatur , Volkan Cevher , Giorgia Ramponi , Niao He

This paper proposes a learning algorithm to find a scheduling policy that achieves an optimal delay-power trade-off in communication systems. Reinforcement learning (RL) is used to minimize the expected latency for a given energy constraint…

系统与控制 · 电气工程与系统科学 2020-06-11 Yu Zhao , Joohyun Lee , Wei Chen