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For infinite-horizon average-cost criterion problems, there exist relatively few rigorous approximation and reinforcement learning results. In this paper, for Markov Decision Processes (MDPs) with standard Borel spaces, (i) we first provide…

最优化与控制 · 数学 2024-12-10 Ali Devran Kara , Serdar Yuksel

Probabilistic hyperproperties specify quantitative relations between the probabilities of reaching different target sets of states from different initial sets of states. This class of behavioral properties is suitable for capturing…

计算机科学中的逻辑 · 计算机科学 2023-07-11 Roman Andriushchenko , Ezio Bartocci , Milan Ceska , Francesco Pontiggia , Sarah Sallinger

The problem of offline reinforcement learning focuses on learning a good policy from a log of environment interactions. Past efforts for developing algorithms in this area have revolved around introducing constraints to online reinforcement…

机器学习 · 计算机科学 2022-04-27 Ian Char , Viraj Mehta , Adam Villaflor , John M. Dolan , Jeff Schneider

Traffic signal control is an important problem in urban mobility with a significant potential of economic and environmental impact. While there is a growing interest in Reinforcement Learning (RL) for traffic signal control, the work so far…

人工智能 · 计算机科学 2022-12-13 Mayuresh Kunjir , Sanjay Chawla

Safety in stochastic control systems, which are subject to random noise with a known probability distribution, aims to compute policies that satisfy predefined operational constraints with high confidence throughout the uncertain evolution…

系统与控制 · 电气工程与系统科学 2025-11-12 Saber Omidi , Marek Petrik , Se Young Yoon , Momotaz Begum

This work proposes an approach that integrates reinforcement learning and model predictive control (MPC) to solve finite-horizon optimal control problems in mixed-logical dynamical systems efficiently. Optimization-based control of such…

系统与控制 · 电气工程与系统科学 2025-04-15 Caio Fabio Oliveira da Silva , Azita Dabiri , Bart De Schutter

We study episodic reinforcement learning in non-stationary linear (a.k.a. low-rank) Markov Decision Processes (MDPs), i.e, both the reward and transition kernel are linear with respect to a given feature map and are allowed to evolve either…

机器学习 · 计算机科学 2021-12-28 Ahmed Touati , Pascal Vincent

Reinforcement learning (RL) agents are commonly trained and evaluated in the same environment. In contrast, humans often train in a specialized environment before being evaluated, such as studying a book before taking an exam. The potential…

机器学习 · 计算机科学 2024-06-19 Jarek Liesen , Chris Lu , Andrei Lupu , Jakob N. Foerster , Henning Sprekeler , Robert T. Lange

We consider large-scale Markov decision processes (MDPs) with an unknown cost function and employ stochastic convex optimization tools to address the problem of imitation learning, which consists of learning a policy from a finite set of…

机器学习 · 计算机科学 2022-01-04 Angeliki Kamoutsi , Goran Banjac , John Lygeros

A crucial problem in reinforcement learning is learning the optimal policy. We study this in tabular infinite-horizon discounted Markov decision processes under the online setting. The existing algorithms either fail to achieve regret…

机器学习 · 计算机科学 2023-12-13 Xiang Ji , Gen Li

Thompson Sampling is one of the most effective methods for contextual bandits and has been generalized to posterior sampling for certain MDP settings. However, existing posterior sampling methods for reinforcement learning are limited by…

机器学习 · 计算机科学 2022-08-24 Christoph Dann , Mehryar Mohri , Tong Zhang , Julian Zimmert

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

In the industrial interior design process, professional designers plan the size and position of furniture in a room to achieve a satisfactory design for selling. In this paper, we explore the interior scene design task as a Markov decision…

计算机视觉与模式识别 · 计算机科学 2021-01-20 Xinhan Di , Pengqian Yu

Modern tasks in reinforcement learning have large state and action spaces. To deal with them efficiently, one often uses predefined feature mapping to represent states and actions in a low-dimensional space. In this paper, we study…

机器学习 · 计算机科学 2021-02-24 Dongruo Zhou , Jiafan He , Quanquan Gu

We present a robust model predictive control method (MPC) for discrete-time linear time-delayed systems with state and control input constraints. The system is subject to both polytopic model uncertainty and additive disturbances. In the…

系统与控制 · 电气工程与系统科学 2022-09-27 Shaoru Chen , Ning-Yuan Li , Victor M. Preciado , Nikolai Matni

We study model-based learning of finite-window policies in tabular partially observable Markov decision processes (POMDPs). A common approach to learning under partial observability is to approximate unbounded history dependencies using…

机器学习 · 计算机科学 2026-04-02 Philip Jordan , Maryam Kamgarpour

This note re-visits the rolling-horizon control approach to the problem of a Markov decision process (MDP) with infinite-horizon discounted expected reward criterion. Distinguished from the classical value-iteration approach, we develop an…

最优化与控制 · 数学 2022-06-07 Hyeong Soo Chang

Model Predictive Control (MPC) is a powerful control technique that handles constraints, takes the system's dynamics into account, and optimizes for a given cost function. In practice, however, it often requires an expert to craft and tune…

机器人学 · 计算机科学 2020-04-21 Napat Karnchanachari , Miguel I. Valls , David Hoeller , Marco Hutter

In this paper, we investigate the concentration properties of cumulative reward in Markov Decision Processes (MDPs), focusing on both asymptotic and non-asymptotic settings. We introduce a unified approach to characterize reward…

机器学习 · 计算机科学 2025-12-04 Borna Sayedana , Peter E. Caines , Aditya Mahajan

Stochastic domains often involve risk-averse decision makers. While recent work has focused on how to model risk in Markov decision processes using risk measures, it has not addressed the problem of solving large risk-averse formulations.…

投资组合管理 · 定量金融 2012-10-19 Marek Petrik , Dharmashankar Subramanian
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