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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

In this paper, we consider reinforcement learning of Markov Decision Processes (MDP) with peak constraints, where an agent chooses a policy to optimize an objective and at the same time satisfy additional constraints. The agent has to take…

最优化与控制 · 数学 2019-12-09 Ather Gattami

Algorithms developed under stationary Markov Decision Processes (MDPs) often face challenges in non-stationary environments, and infinite-horizon formulations may not directly apply to finite-horizon tasks. To address these limitations, we…

机器学习 · 计算机科学 2025-12-03 Zhizuo Chen , Theodore T. Allen

Constrained Markov Decision Process (CMDP) is a natural framework for reinforcement learning tasks with safety constraints, where agents learn a policy that maximizes the long-term reward while satisfying the constraints on the long-term…

人工智能 · 计算机科学 2018-02-20 Qingkai Liang , Fanyu Que , Eytan Modiano

In many sequential decision-making problems one is interested in minimizing an expected cumulative cost while taking into account \emph{risk}, i.e., increased awareness of events of small probability and high consequences. Accordingly, the…

人工智能 · 计算机科学 2017-04-07 Yinlam Chow , Mohammad Ghavamzadeh , Lucas Janson , Marco Pavone

In the optimization of dynamical systems, the variables typically have constraints. Such problems can be modeled as a constrained Markov Decision Process (CMDP). This paper considers a model-free approach to the problem, where the…

机器学习 · 计算机科学 2021-02-02 Qinbo Bai , Vaneet Aggarwal , Ather Gattami

In this work, we focus on the problem of safe policy transfer in reinforcement learning: we seek to leverage existing policies when learning a new task with specified constraints. This problem is important for safety-critical applications…

机器学习 · 计算机科学 2022-11-11 Zeyu Feng , Bowen Zhang , Jianxin Bi , Harold Soh

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

In many real-world problems, there is the possibility to configure, to a limited extent, some environmental parameters to improve the performance of a learning agent. In this paper, we propose a novel framework, Configurable Markov Decision…

人工智能 · 计算机科学 2018-06-15 Alberto Maria Metelli , Mirco Mutti , Marcello Restelli

This note re-visits the rolling-horizon control approach to the problem of a Markov decision process (MDP) with infinite-horizon discounted expected reward criterion. Distinguished from the classical value-iteration approach, we develop an…

最优化与控制 · 数学 2022-06-07 Hyeong Soo Chang

Markov decision processes (MDPs) and simple stochastic games (SSGs) provide a rich mathematical framework to study many important problems related to probabilistic systems. MDPs and SSGs with finite-horizon objectives, where the goal is to…

计算机科学与博弈论 · 计算机科学 2012-09-18 Krishnendu Chatterjee , Rasmus Ibsen-Jensen

Markov decision processes (MDPs) is viewed as an optimization of an objective function over certain linear operators over general function spaces. A new existence result is established for the existence of optimal policies in general MDPs,…

机器学习 · 计算机科学 2026-04-01 Abhishek Gupta , Aditya Mahajan

This paper considers the problem of finding a solution to the finite horizon constrained Markov decision processes (CMDP) where the objective as well as constraints are sum of additive and multiplicative utilities. Towards solving this, we…

最优化与控制 · 数学 2023-03-16 Uday Kumar M , Sanjay P Bhat , Veeraruna Kavitha , Nandyala Hemachandra

We consider online learning for episodic stochastically constrained Markov decision processes (CMDPs), which plays a central role in ensuring the safety of reinforcement learning. Here the loss function can vary arbitrarily across the…

机器学习 · 计算机科学 2021-10-19 Shuang Qiu , Xiaohan Wei , Zhuoran Yang , Jieping Ye , Zhaoran Wang

Reinforcement Learning (RL) algorithms have shown tremendous success in simulation environments, but their application to real-world problems faces significant challenges, with safety being a major concern. In particular, enforcing…

机器学习 · 计算机科学 2024-06-19 Weiye Zhao , Rui Chen , Yifan Sun , Tianhao Wei , Changliu Liu

We consider the problem of finding the best memoryless stochastic policy for an infinite-horizon partially observable Markov decision process (POMDP) with finite state and action spaces with respect to either the discounted or mean reward…

最优化与控制 · 数学 2022-05-02 Johannes Müller , Guido Montúfar

A Budgeted Markov Decision Process (BMDP) is an extension of a Markov Decision Process to critical applications requiring safety constraints. It relies on a notion of risk implemented in the shape of a cost signal constrained to lie below…

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…

Existing work on linear constrained Markov decision processes (CMDPs) has primarily focused on stochastic settings, where the losses and costs are either fixed or drawn from fixed distributions. However, such formulations are inherently…

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

Many control problems in environments that can be modeled as Markov decision processes (MDPs) concern infinite-time horizon specifications. The classical aim in this context is to compute a control policy that maximizes the probability of…

系统与控制 · 计算机科学 2017-05-03 Ruediger Ehlers , Salar Moarref , Ufuk Topcu