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Policy Mirror Descent (PMD) has emerged as a unifying framework in reinforcement learning (RL) by linking policy gradient methods with a first-order optimization method known as mirror descent. At its core, PMD incorporates two key…

机器学习 · 计算机科学 2025-07-14 Jan Felix Kleuker , Aske Plaat , Thomas Moerland

We introduce a novel class of algorithms to efficiently approximate the unknown return distributions in policy evaluation problems from distributional reinforcement learning (DRL). The proposed distributional dynamic programming algorithms…

机器学习 · 统计学 2024-07-22 Julian Gerstenberg , Ralph Neininger , Denis Spiegel

Markov reward processes (MRPs) are used to model stochastic phenomena arising in operations research, control engineering, robotics, and artificial intelligence, as well as communication and transportation networks. In many of these cases,…

机器学习 · 统计学 2020-09-17 Ashwin Pananjady , Martin J. Wainwright

Learning a near optimal policy in a partially observable system remains an elusive challenge in contemporary reinforcement learning. In this work, we consider episodic reinforcement learning in a reward-mixing Markov decision process (MDP).…

机器学习 · 计算机科学 2022-02-01 Jeongyeol Kwon , Yonathan Efroni , Constantine Caramanis , Shie Mannor

Online learning algorithms are designed to perform in non-stationary environments, but generally there is no notion of a dynamic state to model constraints on current and future actions as a function of past actions. State-based models are…

机器学习 · 计算机科学 2015-09-01 Peng Guan , Maxim Raginsky , Rebecca Willett

We study the problem of synthesizing a policy that maximizes the entropy of a Markov decision process (MDP) subject to a temporal logic constraint. Such a policy minimizes the predictability of the paths it generates, or dually, maximizes…

最优化与控制 · 数学 2019-06-17 Yagiz Savas , Melkior Ornik , Murat Cubuktepe , Mustafa O. Karabag , Ufuk Topcu

Sequential decision making, commonly formalized as Markov Decision Process (MDP) optimization, is a important challenge in artificial intelligence. Two key approaches to this problem are reinforcement learning (RL) and planning. This paper…

机器学习 · 计算机科学 2022-04-01 Thomas M. Moerland , Joost Broekens , Aske Plaat , Catholijn M. Jonker

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

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…

人工智能 · 计算机科学 2024-02-20 Alexandre Marthe , Aurélien Garivier , Claire Vernade

In several reinforcement learning (RL) scenarios, mainly in security settings, there may be adversaries trying to interfere with the reward generating process. In this paper, we introduce Threatened Markov Decision Processes (TMDPs), which…

机器学习 · 计算机科学 2019-10-28 Victor Gallego , Roi Naveiro , David Rios Insua

A Markov Decision Process (MDP) is a popular model for reinforcement learning. However, its commonly used assumption of stationary dynamics and rewards is too stringent and fails to hold in adversarial, nonstationary, or multi-agent…

机器学习 · 计算机科学 2019-08-22 Tiancheng Yu , Suvrit Sra

In this paper, we consider the problem of optimization and learning for constrained and multi-objective Markov decision processes, for both discounted rewards and expected average rewards. We formulate the problems as zero-sum games where…

最优化与控制 · 数学 2021-03-05 Ather Gattami , Qinbo Bai , Vaneet Agarwal

Finding optimal policies which maximize long term rewards of Markov Decision Processes requires the use of dynamic programming and backward induction to solve the Bellman optimality equation. However, many real-world problems require…

机器学习 · 计算机科学 2023-01-10 Mridul Agarwal , Vaneet Aggarwal

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 study reinforcement learning for the optimal control of Branching Markov Decision Processes (BMDPs), a natural extension of (multitype) Branching Markov Chains (BMCs). The state of a (discrete-time) BMCs is a collection of entities of…

机器学习 · 计算机科学 2021-06-15 Ernst Moritz Hahn , Mateo Perez , Sven Schewe , Fabio Somenzi , Ashutosh Trivedi , Dominik Wojtczak

Markov Decision Processes (MDPs) are a mathematical framework for modeling sequential decision making under uncertainty. The classical approaches for solving MDPs are well known and have been widely studied, some of which rely on…

机器学习 · 计算机科学 2018-05-18 Joshua R. Bertram , Xuxi Yang , Peng Wei

In this paper, we study a mean-variance optimization problem in an infinite horizon discrete time discounted Markov decision process (MDP). The objective is to minimize the variance of system rewards with the constraint of mean performance.…

最优化与控制 · 数学 2017-08-24 Li Xia

Safety and robustness are two desired properties for any reinforcement learning algorithm. CMDPs can handle additional safety constraints and RMDPs can perform well under model uncertainties. In this paper, we propose to unite these two…

机器学习 · 计算机科学 2021-08-21 Reazul Hasan Russel , Mouhacine Benosman , Jeroen Van Baar , Radu Corcodel

State-of-the-art model-based reinforcement learning methods train policies on imagined rollouts. These rollouts are trajectories generated by a learned dynamics model and are scored by a learned reward model, but without querying the true…

机器学习 · 计算机科学 2026-05-13 Nadav Timor , Ravid Shwartz-Ziv , Micah Goldblum , Yann LeCun , David Harel

This paper is devoted to studying constrained continuous-time Markov decision processes (MDPs) in the class of randomized policies depending on state histories. The transition rates may be unbounded, the reward and costs are admitted to be…

概率论 · 数学 2012-01-04 Xianping Guo , Xinyuan Song