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相关论文: Robust Markov Decision Processes on Continuous Sta…

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We propose policy gradient algorithms for robust infinite-horizon Markov decision processes (MDPs) with non-rectangular uncertainty sets, thereby addressing an open challenge in the robust MDP literature. Indeed, uncertainty sets that…

最优化与控制 · 数学 2025-09-30 Mengmeng Li , Daniel Kuhn , Tobias Sutter

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 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

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) have attracted significant interest due to their ability to protect MDPs from poor out-of-sample performance in the presence of ambiguity. In contrast to classical MDPs, which account for…

最优化与控制 · 数学 2026-02-06 Chin Pang Ho , Marek Petrik , Wolfram Wiesemann

Robust Markov Decision Processes (MDPs) are receiving much attention in learning a robust policy which is less sensitive to environment changes. There are an increasing number of works analyzing sample-efficiency of robust MDPs. However,…

机器学习 · 统计学 2023-09-13 Wenhao Yang , Han Wang , Tadashi Kozuno , Scott M. Jordan , Zhihua Zhang

In this paper, we study the non-asymptotic and asymptotic performances of the optimal robust policy and value function of robust Markov Decision Processes(MDPs), where the optimal robust policy and value function are solved only from a…

机器学习 · 统计学 2022-08-16 Wenhao Yang , Liangyu Zhang , Zhihua Zhang

Optimal policies in Markov decision processes (MDPs) are very sensitive to model misspecification. This raises serious concerns about deploying them in high-stake domains. Robust MDPs (RMDP) provide a promising framework to mitigate…

机器学习 · 计算机科学 2019-12-06 Reazul Hasan Russel , Bahram Behzadian , Marek Petrik

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

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

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

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…

The ability to compute reward-optimal policies for given and known finite Markov decision processes (MDPs) underpins a variety of applications across planning, controller synthesis, and verification. However, we often want policies (1) to…

计算机科学中的逻辑 · 计算机科学 2025-11-18 Linus Heck , Filip Macák , Milan Češka , Sebastian Junges

We consider Markov decision processes (MDPs) with unknown disturbance distribution and address this problem using the robust Markov decision process (RMDP) approach. We construct the empirical distribution of the unknown disturbance…

最优化与控制 · 数学 2026-03-11 Sivaramakrishnan Ramani

Robust Markov decision processes (MDPs) are used for applications of dynamic optimization in uncertain environments and have been studied extensively. Many of the main properties and algorithms of MDPs, such as value iteration and policy…

最优化与控制 · 数学 2023-12-14 Julien Grand-Clément , Marek Petrik

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

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

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

Robust Markov decision processes (r-MDPs) extend MDPs by explicitly modelling epistemic uncertainty about transition dynamics. Learning r-MDPs from interactions with an unknown environment enables the synthesis of robust policies with…

机器学习 · 计算机科学 2025-11-21 Yannik Schnitzer , Alessandro Abate , David Parker

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
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