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Markov decision processes (MDPs) are a fundamental model in sequential decision making. Robust MDPs (RMDPs) extend this framework by allowing uncertainty in transition probabilities and optimizing against the worst-case realization of that…

Robust Markov decision processes (RMDPs) extend standard Markov decision processes (MDPs) to account for uncertainty in the transition probabilities. RMDPs have an uncertainty set that defines a set of possible transition functions, each of…

计算机科学中的逻辑 · 计算机科学 2026-04-30 Marnix Suilen , Guillermo A. Pérez

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

The Robust Markov Decision Process (RMDP) framework focuses on designing control policies that are robust against the parameter uncertainties due to the mismatches between the simulator model and real-world settings. An RMDP problem is…

机器学习 · 计算机科学 2022-05-17 Kishan Panaganti , Dileep Kalathil

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

Robust Markov decision processes (MDPs) allow to compute reliable solutions for dynamic decision problems whose evolution is modeled by rewards and partially-known transition probabilities. Unfortunately, accounting for uncertainty in the…

机器学习 · 计算机科学 2020-06-18 Chin Pang Ho , Marek Petrik , Wolfram Wiesemann

Markov decision processes (MDPs) provide a standard framework for sequential decision making under uncertainty. However, MDPs do not take uncertainty in transition probabilities into account. Robust Markov decision processes (RMDPs) address…

Markov decision processes (MDP) are a well-established model for sequential decision-making in the presence of probabilities. In robust MDP (RMDP), every action is associated with an uncertainty set of probability distributions, modelling…

人工智能 · 计算机科学 2024-12-16 Tobias Meggendorfer , Maximilian Weininger , Patrick Wienhöft

We study robust Markov decision processes (RMDPs) with non-rectangular uncertainty sets, which capture interdependencies across states unlike traditional rectangular models. While non-rectangular robust policy evaluation is generally…

Markov decision processes (MDPs) are a standard model for sequential decision-making problems and are widely used across many scientific areas, including formal methods and artificial intelligence (AI). MDPs do, however, come with the…

人工智能 · 计算机科学 2024-12-11 Marnix Suilen , Thom Badings , Eline M. Bovy , David Parker , Nils Jansen

In this paper, we focus on the problem of robustifying reinforcement learning (RL) algorithms with respect to model uncertainties. Indeed, in the framework of model-based RL, we propose to merge the theory of constrained Markov decision…

机器学习 · 计算机科学 2020-10-13 Reazul Hasan Russel , Mouhacine Benosman , Jeroen Van Baar

Robust Markov Decision Processes (MDPs) are a powerful framework for modeling sequential decision-making problems with model uncertainty. This paper proposes the first first-order framework for solving robust MDPs. Our algorithm interleaves…

最优化与控制 · 数学 2021-01-18 Julien Grand-Clément , Christian Kroer

We consider the problem of solving robust Markov decision process (MDP), which involves a set of discounted, finite state, finite action space MDPs with uncertain transition kernels. The goal of planning is to find a robust policy that…

机器学习 · 计算机科学 2023-06-13 Yan Li , Guanghui Lan , Tuo Zhao

Markov decision processes (MDPs) are formal models commonly used in sequential decision-making. MDPs capture the stochasticity that may arise, for instance, from imprecise actuators via probabilities in the transition function. However, in…

人工智能 · 计算机科学 2023-06-21 Marnix Suilen , Thiago D. Simão , David Parker , Nils Jansen

We address the problem of computing reliable policies in reinforcement learning problems with limited data. In particular, we compute policies that achieve good returns with high confidence when deployed. This objective, known as the…

机器学习 · 计算机科学 2021-03-01 Bahram Behzadian , Reazul Hasan Russel , Marek Petrik , Chin Pang Ho

Learning-based approaches to verifying unknown Markov decision processes (MDPs) often employ uncertain MDPs. These models use, for example, confidence intervals to capture transition uncertainty and allow synthesis of policies that are…

机器学习 · 计算机科学 2026-05-05 Yannik Schnitzer , Alessandro Abate , David Parker

Stochastic and soft optimal policies resulting from entropy-regularized Markov decision processes (ER-MDP) are desirable for exploration and imitation learning applications. Motivated by the fact that such policies are sensitive with…

机器学习 · 计算机科学 2022-01-03 Tien Mai , Patrick Jaillet

We study the common generalization of Markov decision processes (MDPs) with sets of transition probabilities, known as robust MDPs (RMDPs). A standard goal in RMDPs is to compute a policy that maximizes the expected return under an…

人工智能 · 计算机科学 2025-11-20 Alessandro Abate , Thom Badings , Giuseppe De Giacomo , Francesco Fabiano

The distributionally robust Markov Decision Process (MDP) approach asks for a distributionally robust policy that achieves the maximal expected total reward under the most adversarial distribution of uncertain parameters. In this paper, we…

系统与控制 · 计算机科学 2018-10-10 Zhi Chen , Pengqian Yu , William B. Haskell

Robust Markov decision processes (MDPs) aim to handle changing or partially known system dynamics. To solve them, one typically resorts to robust optimization methods. However, this significantly increases computational complexity and…

机器学习 · 计算机科学 2021-10-14 Esther Derman , Matthieu Geist , Shie Mannor
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