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We formalize decision-making problems in robotics and automated control using continuous MDPs and actions that take place over continuous time intervals. We then approximate the continuous MDP using finer and finer discretizations. Doing…

Robotics · Computer Science 2020-05-22 Nan Rong , Joseph Y. Halpern , Ashutosh Saxena

We consider online reinforcement learning (RL) in episodic Markov decision processes (MDPs) under the linear $q^\pi$-realizability assumption, where it is assumed that the action-values of all policies can be expressed as linear functions…

Machine Learning · Computer Science 2023-12-21 Gellért Weisz , András György , Csaba Szepesvári

Representations are at the core of all deep reinforcement learning (RL) methods for both Markov decision processes (MDPs) and partially observable Markov decision processes (POMDPs). Many representation learning methods and theoretical…

Machine Learning · Computer Science 2024-04-23 Tianwei Ni , Benjamin Eysenbach , Erfan Seyedsalehi , Michel Ma , Clement Gehring , Aditya Mahajan , Pierre-Luc Bacon

What are the functionals of the reward that can be computed and optimized exactly in Markov Decision Processes?In the finite-horizon, undiscounted setting, Dynamic Programming (DP) can only handle these operations efficiently for certain…

Artificial Intelligence · Computer Science 2024-02-20 Alexandre Marthe , Aurélien Garivier , Claire Vernade

We study multi-task reinforcement learning (RL) in tabular episodic Markov decision processes (MDPs). We formulate a heterogeneous multi-player RL problem, in which a group of players concurrently face similar but not necessarily identical…

Machine Learning · Computer Science 2022-01-19 Chicheng Zhang , Zhi Wang

We present a general framework for applying machine-learning algorithms to the verification of Markov decision processes (MDPs). The primary goal of these techniques is to improve performance by avoiding an exhaustive exploration of the…

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

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…

Machine Learning · Computer Science 2023-03-02 Yue Wang , Alvaro Velasquez , George Atia , Ashley Prater-Bennette , Shaofeng Zou

Learning and optimal control under robust Markov decision processes (MDPs) have received increasing attention, yet most existing theory, algorithms, and applications focus on finite-horizon or discounted models. Long-run average-reward…

Optimization and Control · Mathematics 2025-12-12 Shengbo Wang , Nian Si

We introduce Multi-Environment Markov Decision Processes (MEMDPs) which are MDPs with a set of probabilistic transition functions. The goal in a MEMDP is to synthesize a single controller with guaranteed performances against all…

Logic in Computer Science · Computer Science 2014-12-04 Jean-François Raskin , Ocan Sankur

In reinforcement learning (RL), when defining a Markov Decision Process (MDP), the environment dynamics is implicitly assumed to be stationary. This assumption of stationarity, while simplifying, can be unrealistic in many scenarios. In the…

Machine Learning · Computer Science 2021-10-15 Shagun Sodhani , Franziska Meier , Joelle Pineau , Amy Zhang

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

Traditionally, Reinforcement Learning (RL) aims at deciding how to act optimally for an artificial agent. We argue that deciding when to act is equally important. As humans, we drift from default, instinctive or memorized behaviors to…

Machine Learning · Computer Science 2022-03-17 Alexis Jacq , Johan Ferret , Olivier Pietquin , Matthieu Geist

This paper targets the efficient construction of a safety shield for decision making in scenarios that incorporate uncertainty. Markov decision processes (MDPs) are prominent models to capture such planning problems. Reinforcement learning…

Artificial Intelligence · Computer Science 2019-11-26 Nils Jansen , Bettina Könighofer , Sebastian Junges , Alexandru C. Serban , Roderick Bloem

The success of reinforcement learning in typical settings is predicated on Markovian assumptions on the reward signal by which an agent learns optimal policies. In recent years, the use of reward machines has relaxed this assumption by…

Machine Learning · Computer Science 2022-03-29 Taylor Dohmen , Noah Topper , George Atia , Andre Beckus , Ashutosh Trivedi , Alvaro Velasquez

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…

Machine Learning · Computer Science 2026-05-05 Yannik Schnitzer , Alessandro Abate , David Parker

While significant advancements have been made in the field of fair machine learning, the majority of studies focus on scenarios where the decision model operates on a static population. In this paper, we study fairness in dynamic systems…

Machine Learning · Computer Science 2024-01-15 Yaowei Hu , Jacob Lear , Lu Zhang

We introduce Dynamic Contextual Markov Decision Processes (DCMDPs), a novel reinforcement learning framework for history-dependent environments that generalizes the contextual MDP framework to handle non-Markov environments, where contexts…

Machine Learning · Computer Science 2023-05-19 Guy Tennenholtz , Nadav Merlis , Lior Shani , Martin Mladenov , Craig Boutilier

Solving control tasks in complex environments automatically through learning offers great potential. While contemporary techniques from deep reinforcement learning (DRL) provide effective solutions, their decision-making is not transparent.…

Machine Learning · Computer Science 2023-07-03 Martin Tappler , Edi Muškardin , Bernhard K. Aichernig , Bettina Könighofer

Markov Decision Process (MDP) presents a mathematical framework to formulate the learning processes of agents in reinforcement learning. MDP is limited by the Markovian assumption that a reward only depends on the immediate state and…

Machine Learning · Computer Science 2024-06-04 Bohao Qu , Xiaofeng Cao , Jielong Yang , Hechang Chen , Chang Yi , Ivor W. Tsang , Yew-Soon Ong
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