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The problem of controlling multi-agent systems under different models of information sharing among agents has received significant attention in the recent literature. In this paper, we consider a setup where rather than committing to a…

最优化与控制 · 数学 2021-04-23 Sagar Sudhakara , Dhruva Kartik , Rahul Jain , Ashutosh Nayyar

Decentralized policy optimization has been commonly used in cooperative multi-agent tasks. However, since all agents are updating their policies simultaneously, from the perspective of individual agents, the environment is non-stationary,…

机器学习 · 计算机科学 2023-02-17 Hao Luo , Jiechuan Jiang , Zongqing Lu

Given a Markov Decision Process (MDP) with $n$ states and a totalnumber $m$ of actions, we study the number of iterations needed byPolicy Iteration (PI) algorithms to converge to the optimal$\gamma$-discounted policy. We consider two…

最优化与控制 · 数学 2016-02-11 Bruno Scherrer

We consider approximate dynamic programming for the infinite-horizon stationary $\gamma$-discounted optimal control problem formalized by Markov Decision Processes. While in the exact case it is known that there always exists an optimal…

最优化与控制 · 数学 2013-04-23 Boris Lesner , Bruno Scherrer

We study the problem of Safe Policy Improvement (SPI) under constraints in the offline Reinforcement Learning (RL) setting. We consider the scenario where: (i) we have a dataset collected under a known baseline policy, (ii) multiple reward…

机器学习 · 计算机科学 2021-11-01 Harsh Satija , Philip S. Thomas , Joelle Pineau , Romain Laroche

We consider the problem of learning in adversarial Markov decision processes [MDPs] with an oblivious adversary in a full-information setting. The agent interacts with an environment during $T$ episodes, each of which consists of $H$…

机器学习 · 计算机科学 2025-03-06 Daniil Tiapkin , Evgenii Chzhen , Gilles Stoltz

We study the offline data-driven sequential decision making problem in the framework of Markov decision process (MDP). In order to enhance the generalizability and adaptivity of the learned policy, we propose to evaluate each policy by a…

统计理论 · 数学 2021-11-11 Zhengling Qi , Peng Liao

The interactive partially observable Markov decision process (I-POMDP) is a recently developed framework which extends the POMDP to the multi-agent setting by including agent models in the state space. This paper argues for formulating the…

机器人学 · 计算机科学 2012-04-03 Mark P. Woodward , Robert J. Wood

Consider the problem of approximating the optimal policy of a Markov decision process (MDP) by sampling state transitions. In contrast to existing reinforcement learning methods that are based on successive approximations to the nonlinear…

机器学习 · 计算机科学 2017-10-18 Mengdi Wang

Motion planning of autonomous agents in partially known environments with incomplete information is a challenging problem, particularly for complex tasks. This paper proposes a model-free reinforcement learning approach to address this…

人工智能 · 计算机科学 2023-05-02 Junchao Li , Mingyu Cai , Zhen Kan , Shaoping Xiao

This article presents an agent architecture for controlling an autonomous agent in stochastic environments. The architecture combines the partially observable Markov decision process (POMDP) model with the belief-desire-intention (BDI)…

人工智能 · 计算机科学 2016-07-05 Gavin Rens , Deshendran Moodley

Autonomous systems are often required to operate in partially observable environments. They must reliably execute a specified objective even with incomplete information about the state of the environment. We propose a methodology to…

人工智能 · 计算机科学 2020-01-14 Maxime Bouton , Jana Tumova , Mykel J. Kochenderfer

We study a multi-agent reinforcement learning (MARL) problem where the agents interact over a given network. The goal of the agents is to cooperatively maximize the average of their entropy-regularized long-term rewards. To overcome the…

机器学习 · 计算机科学 2022-12-01 Yizhou Zhang , Guannan Qu , Pan Xu , Yiheng Lin , Zaiwei Chen , Adam Wierman

We consider multi-agent systems with heterogeneous, nonlinear agents subject to individual constraints that want to achieve a periodic, dynamic cooperative control goal which can be characterised by a set and a suitable cost. We propose a…

系统与控制 · 电气工程与系统科学 2023-04-07 Matthias Köhler , Matthias A. Müller , Frank Allgöwer

Solving Markov Decision Processes (MDPs) is a recurrent task in engineering. Even though it is known that solutions for minimizing the infinite horizon expected reward can be found in polynomial time using Linear Programming techniques,…

计算复杂性 · 计算机科学 2014-10-29 Romain Hollanders , Balázs Gerencsér , Jean-Charles Delvenne , Raphaël M. Jungers

The deployment of autonomous systems in safety-critical environments requires control policies that guarantee satisfaction of complex control specifications. These systems are commonly modeled as nonlinear discrete-time stochastic systems.…

系统与控制 · 电气工程与系统科学 2026-04-07 Alessandro Riccardi , Thom Badings , Luca Laurenti , Alessandro Abate , Bart De Schutter

We study the problem of designing an optimal sequence of incentives that a principal should offer to an agent so that the agent's optimal behavior under the incentives realizes the principal's objective expressed as a temporal logic…

最优化与控制 · 数学 2019-03-20 Yagiz Savas , Vijay Gupta , Melkior Ornik , Lillian J. Ratliff , Ufuk Topcu

We study the problem of reinforcement learning in infinite-horizon discounted linear Markov decision processes (MDPs), and propose the first computationally efficient algorithm achieving rate-optimal regret guarantees in this setting. Our…

机器学习 · 计算机科学 2026-03-16 Antoine Moulin , Gergely Neu , Luca Viano

This paper investigates the motion planning of autonomous dynamical systems modeled by Markov decision processes (MDP) with unknown transition probabilities over continuous state and action spaces. Linear temporal logic (LTL) is used to…

机器学习 · 计算机科学 2022-01-25 Mingyu Cai , Mohammadhosein Hasanbeig , Shaoping Xiao , Alessandro Abate , Zhen Kan

Robust Markov decision processes (MDPs) allow to compute reliable solutions for dynamic decision problems whose evolution is modeled by rewards and partially-known transition probabilities. Unfortunately, accounting for uncertainty in the…

机器学习 · 计算机科学 2020-06-18 Chin Pang Ho , Marek Petrik , Wolfram Wiesemann