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We consider a robust approach to address uncertainty in model parameters in Markov Decision Processes (MDPs), which are widely used to model dynamic optimization in many applications. Most prior works consider the case where the uncertainty…

最优化与控制 · 数学 2021-09-02 Vineet Goyal , Julien Grand-Clément

This paper studies the computation of robust deterministic policies for Markov Decision Processes (MDPs) in the Lightning Does Not Strike Twice (LDST) model of Mannor, Mebel and Xu (ICML '12). In this model, designed to provide robustness…

最优化与控制 · 数学 2024-12-18 Fei Wu , Erik Demeulemeester , Jannik Matuschke

The robust $\phi$-regularized Markov Decision Process (RRMDP) framework focuses on designing control policies that are robust against parameter uncertainties due to mismatches between the simulator (nominal) model and real-world settings.…

机器学习 · 计算机科学 2024-05-10 Kishan Panaganti , Adam Wierman , Eric Mazumdar

Fueled by advances in both robust optimization theory and reinforcement learning (RL), robust Markov Decision Processes (RMDPs) have garnered increasing attention due to their powerful capability for sequential decision-making under…

最优化与控制 · 数学 2025-07-08 Wenfan Ou , Sheng Bi

Robust Markov decision processes (MDPs) address the challenge of model uncertainty by optimizing the worst-case performance over an uncertainty set of MDPs. In this paper, we focus on the robust average-reward MDPs under the model-free…

机器学习 · 计算机科学 2023-05-19 Yue Wang , Alvaro Velasquez , George Atia , Ashley Prater-Bennette , Shaofeng Zou

Discrete time stochastic optimal control problems and Markov decision processes (MDPs) are fundamental models for sequential decision-making under uncertainty and as such provide the mathematical framework underlying reinforcement learning…

最优化与控制 · 数学 2025-07-01 Arnulf Jentzen , Konrad Kleinberg , Thomas Kruse

Reinforcement learning (RL) tackles sequential decision-making problems by creating agents that interacts with their environment. However, existing algorithms often view these problem as static, focusing on point estimates for model…

机器学习 · 统计学 2024-03-21 Frank Shih , Faming Liang

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

We consider large-scale Markov decision processes (MDPs) with parameter uncertainty, under the robust MDP paradigm. Previous studies showed that robust MDPs, based on a minimax approach to handle uncertainty, can be solved using dynamic…

机器学习 · 计算机科学 2013-06-27 Aviv Tamar , Huan Xu , Shie Mannor

Robust Markov decision processes (RMDPs) provide a promising framework for computing reliable policies in the face of model errors. Many successful reinforcement learning algorithms build on variations of policy-gradient methods, but…

机器学习 · 计算机科学 2024-05-15 Qiuhao Wang , Chin Pang Ho , Marek Petrik

The Robust Regularized Markov Decision Process (RRMDP) is proposed to learn policies robust to dynamics shifts by adding regularization to the transition dynamics in the value function. Existing methods mostly use unstructured…

机器学习 · 计算机科学 2025-11-03 Cheng Tang , Zhishuai Liu , Pan Xu

This paper considers robust Markov decision processes under parametric transition distributions. We assume that the true transition distribution is uniquely specified by some parametric distribution, and explicitly enforce that the…

最优化与控制 · 数学 2022-11-24 Ben Black , Trivikram Dokka , Christopher Kirkbride

In robust Markov decision processes (MDPs), the uncertainty in the transition kernel is addressed by finding a policy that optimizes the worst-case performance over an uncertainty set of MDPs. While much of the literature has focused on…

机器学习 · 计算机科学 2023-03-02 Yue Wang , Alvaro Velasquez , George Atia , Ashley Prater-Bennette , Shaofeng Zou

Robust Markov decision processes (MDPs) provide a general framework to model decision problems where the system dynamics are changing or only partially known. Efficient methods for some \texttt{sa}-rectangular robust MDPs exist, using its…

人工智能 · 计算机科学 2022-10-06 Navdeep Kumar , Kfir Levy , Kaixin Wang , Shie Mannor

We propose a novel distributionally robust $Q$-learning algorithm for the non-tabular case accounting for continuous state spaces where the state transition of the underlying Markov decision process is subject to model uncertainty. The…

机器学习 · 计算机科学 2025-05-27 Chung I Lu , Julian Sester , Aijia Zhang

Several real-world scenarios, such as remote control and sensing, are comprised of action and observation delays. The presence of delays degrades the performance of reinforcement learning (RL) algorithms, often to such an extent that…

机器学习 · 计算机科学 2021-08-18 Somjit Nath , Mayank Baranwal , Harshad Khadilkar

In dynamic programming (DP) and reinforcement learning (RL), an agent learns to act optimally in terms of expected long-term return by sequentially interacting with its environment modeled by a Markov decision process (MDP). More generally…

机器学习 · 计算机科学 2022-01-03 Mastane Achab , Gergely Neu

In high-stake scenarios like medical treatment and auto-piloting, it's risky or even infeasible to collect online experimental data to train the agent. Simulation-based training can alleviate this issue, but may suffer from its inherent…

机器学习 · 计算机科学 2022-03-16 Jialian Li , Tongzheng Ren , Dong Yan , Hang Su , Jun Zhu

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

Robust reinforcement learning aims to produce policies that have strong guarantees even in the face of environments/transition models whose parameters have strong uncertainty. Existing work uses value-based methods and the usual primitive…

人工智能 · 计算机科学 2018-02-12 Daniel J. Mankowitz , Timothy A. Mann , Pierre-Luc Bacon , Doina Precup , Shie Mannor