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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…

Optimization and Control · Mathematics 2023-12-14 Julien Grand-Clément , Marek Petrik

The Markov decision process (MDP) formulation used to model many real-world sequential decision making problems does not efficiently capture the setting where the set of available decisions (actions) at each time step is stochastic.…

Machine Learning · Computer Science 2020-01-22 Yash Chandak , Georgios Theocharous , Blossom Metevier , Philip S. Thomas

Interval Markov Decision Processes (IMDPs) are finite-state uncertain Markov models, where the transition probabilities belong to intervals. Recently, there has been a surge of research on employing IMDPs as abstractions of stochastic…

Systems and Control · Electrical Eng. & Systems 2026-02-18 Giannis Delimpaltadakis , Morteza Lahijanian , Manuel Mazo , Luca Laurenti

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…

Optimization and Control · Mathematics 2025-07-08 Wenfan Ou , Sheng Bi

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…

Optimization and Control · Mathematics 2021-01-18 Julien Grand-Clément , Christian Kroer

Graph games and Markov decision processes (MDPs) are standard models in reactive synthesis and verification of probabilistic systems with nondeterminism. The class of $\omega$-regular winning conditions; e.g., safety, reachability,…

Logic in Computer Science · Computer Science 2019-06-28 Pranav Ashok , Tomáš Brázdil , Krishnendu Chatterjee , Jan Křetínský , Christoph H. Lampert , Viktor Toman

This paper targets at the problem of radio resource management for expected long-term delay-power tradeoff in vehicular communications. At each decision epoch, the road side unit observes the global network state, allocates channels and…

Signal Processing · Electrical Eng. & Systems 2019-06-04 Xianfu Chen , Celimuge Wu , Honggang Zhang , Yan Zhang , Mehdi Bennis , Heli Vuojala

Integrated task and motion planning has emerged as a challenging problem in sequential decision making, where a robot needs to compute high-level strategy and low-level motion plans for solving complex tasks. While high-level strategies…

Artificial Intelligence · Computer Science 2018-02-19 Siddharth Srivastava , Nishant Desai , Richard Freedman , Shlomo Zilberstein

We propose and analyze a temporal concatenation heuristic for solving large-scale finite-horizon Markov decision processes (MDP), which divides the MDP into smaller sub-problems along the time horizon and generates an overall solution by…

Optimization and Control · Mathematics 2022-06-22 Ruiyang Song , Kuang Xu

We consider Markov decision processes (MDPs) in which the transition probabilities and rewards belong to an uncertainty set parametrized by a collection of random variables. The probability distributions for these random parameters are…

Logic in Computer Science · Computer Science 2020-02-26 Murat Cubuktepe , Nils Jansen , Sebastian Junges , Joost-Pieter Katoen , Ufuk Topcu

Markov decision processes (MDP) are useful to model concurrent process optimisation problems, but verifying them with numerical methods is often intractable. Existing approximative approaches do not scale well and are limited to memoryless…

Data Structures and Algorithms · Computer Science 2014-09-18 Axel Legay , Sean Sedwards , Louis-Marie Traonouez

The Distributed Cooperative Modeling System (DCMS) solves complex decision problems involving a lot of participants with different viewpoints by network based distributed modeling and multi-template aggregation. This thesis aims at…

Artificial Intelligence · Computer Science 2014-03-04 Menghan Wang

This paper addresses the challenge of a particular class of noisy state observations in Markov Decision Processes (MDPs), a common issue in various real-world applications. We focus on modeling this uncertainty through a confusion matrix…

Machine Learning · Computer Science 2023-12-15 Amirhossein Afsharrad , Sanjay Lall

Consumption Markov Decision Processes (CMDPs) are probabilistic decision-making models of resource-constrained systems. In a CMDP, the controller possesses a certain amount of a critical resource, such as electric power. Each action of the…

Formal Languages and Automata Theory · Computer Science 2020-05-18 František Blahoudek , Tomáš Brázdil , Petr Novotný , Melkior Ornik , Pranay Thangeda , Ufuk Topcu

We develop an exhaustive study of Markov decision process (MDP) under mean field interaction both on states and actions in the presence of common noise, and when optimization is performed over open-loop controls on infinite horizon. Such…

Optimization and Control · Mathematics 2021-09-10 Médéric Motte , Huyên Pham

We study the policy testing problem in discounted Markov decision processes (MDPs) in the fixed-confidence setting under a generative model with static sampling. The goal is to decide whether the value of a given policy exceeds a specified…

Machine Learning · Statistics 2026-04-21 Kaito Ariu , Po-An Wang , Alexandre Proutiere , Kenshi Abe

We introduce the spatiotemporal Markov decision process (STMDP), a special type of Markov decision process that models sequential decision-making problems which are not only characterized by temporal, but also by spatial interaction…

Optimization and Control · Mathematics 2025-01-08 M. C. de Jongh , Richard J. Boucherie , M. N. M. van Lieshout

Current work in explainable reinforcement learning generally produces policies in the form of a decision tree over the state space. Such policies can be used for formal safety verification, agent behavior prediction, and manual inspection…

Machine Learning · Computer Science 2021-02-26 Nicholay Topin , Stephanie Milani , Fei Fang , Manuela Veloso

Markov Decision Processes (Mdps) form a versatile framework used to model a wide range of optimization problems. The Mdp model consists of sets of states, actions, time steps, rewards, and probability transitions. When in a given state and…

Markov decision processes capture sequential decision making under uncertainty, where an agent must choose actions so as to optimize long term reward. The paper studies efficient reasoning mechanisms for Relational Markov Decision Processes…

Artificial Intelligence · Computer Science 2011-11-02 Chenggang Wang , Saket Joshi , Roni Khardon