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In this paper we consider infinite horizon discounted dynamic programming problems with finite state and control spaces, partial state observations, and a multiagent structure. We discuss and compare algorithms that simultaneously or…

机器人学 · 计算机科学 2020-11-10 Sushmita Bhattacharya , Siva Kailas , Sahil Badyal , Stephanie Gil , Dimitri Bertsekas

We consider finite and infinite horizon dynamic programming problems, where the control at each stage consists of several distinct decisions, each one made by one of several agents. We introduce an approach, whereby at every stage, each…

机器学习 · 计算机科学 2020-04-15 Dimitri Bertsekas

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

This paper studies a finite-horizon Markov decision problem with information-theoretic constraints, where the goal is to minimize directed information from the controlled source process to the control process, subject to stage-wise cost…

系统与控制 · 电气工程与系统科学 2025-09-04 Zixuan He , Charalambos D. Charalambous , Photios A. Stavrou

Bounded policy iteration is an approach to solving infinite-horizon POMDPs that represents policies as stochastic finite-state controllers and iteratively improves a controller by adjusting the parameters of each node using linear…

人工智能 · 计算机科学 2012-06-18 Eric A. Hansen

We consider deterministic infinite horizon optimal control problems with nonnegative stage costs. We draw inspiration from learning model predictive control scheme designed for continuous dynamics and iterative tasks, and propose a rollout…

最优化与控制 · 数学 2021-09-30 Yuchao Li , Karl H. Johansson , Jonas Mårtensson , Dimitri P. Bertsekas

We consider the problem of finding the best memoryless stochastic policy for an infinite-horizon partially observable Markov decision process (POMDP) with finite state and action spaces with respect to either the discounted or mean reward…

最优化与控制 · 数学 2022-05-02 Johannes Müller , Guido Montúfar

In this paper we propose an on-line policy iteration (PI) algorithm for finite-state infinite horizon discounted dynamic programming, whereby the policy improvement operation is done on-line, only for the states that are encountered during…

最优化与控制 · 数学 2021-06-03 Dimitri Bertsekas

Monotonic Partially Observable Markov Decision Processes (POMDPs), where the system state progressively decreases until a restorative action is performed, can be used to model sequential repair problems effectively. This paper considers the…

机器学习 · 计算机科学 2025-09-17 Manav Vora , Jonas Liang , Michael N. Grussing , Melkior Ornik

Function approximation is widely used in reinforcement learning to handle the computational difficulties associated with very large state spaces. However, function approximation introduces errors which may lead to instabilities when using…

机器学习 · 计算机科学 2022-12-15 Anna Winnicki , Joseph Lubars , Michael Livesay , R. Srikant

We propose a formulation of the stochastic cutting stock problem as a discounted infinite-horizon Markov decision process. At each decision epoch, given current inventory of items, an agent chooses in which patterns to cut objects in stock…

最优化与控制 · 数学 2022-06-29 Anselmo R. Pitombeira-Neto , Arthur H. Fonseca Murta

We study reinforcement learning with linear function approximation and finite-memory approximations for partially observed Markov decision processes (POMDPs). We first present an algorithm for the value evaluation of finite-memory feedback…

最优化与控制 · 数学 2025-05-22 Ali Devran Kara

We consider a problem in which a single repairer is responsible for the maintenance and repair of a collection of machines, positioned at different locations on a network of nodes and edges. Machines deteriorate according to stochastic…

最优化与控制 · 数学 2026-02-24 Dongnuan Tian , Rob Shone

We provide performance guarantees for a variant of simulation-based policy iteration for controlling Markov decision processes that involves the use of stochastic approximation algorithms along with state-of-the-art techniques that are…

机器学习 · 计算机科学 2022-10-17 Anna Winnicki , R. Srikant

We consider infinite horizon dynamic programming problems, where the control at each stage consists of several distinct decisions, each one made by one of several agents. In an earlier work we introduced a policy iteration algorithm, where…

最优化与控制 · 数学 2020-05-05 Dimitri Bertsekas

Several researchers have recently investigated the connection between reinforcement learning and classification. We are motivated by proposals of approximate policy iteration schemes without value functions which focus on policy…

机器学习 · 计算机科学 2008-07-06 Christos Dimitrakakis , Michail G. Lagoudakis

We study Reinforcement Learning for partially observable dynamical systems using function approximation. We propose a new \textit{Partially Observable Bilinear Actor-Critic framework}, that is general enough to include models such as…

机器学习 · 计算机科学 2022-06-27 Masatoshi Uehara , Ayush Sekhari , Jason D. Lee , Nathan Kallus , Wen Sun

This work compares ways of extending Reinforcement Learning algorithms to Partially Observed Markov Decision Processes (POMDPs) with options. One view of options is as temporally extended action, which can be realized as a memory that…

机器学习 · 计算机科学 2024-10-14 Shu Ishida , João F. Henriques

In this paper we discuss policy iteration methods for approximate solution of a finite-state discounted Markov decision problem, with a focus on feature-based aggregation methods and their connection with deep reinforcement learning…

机器学习 · 计算机科学 2018-08-23 Dimitri P. Bertsekas

Novel advanced policy gradient (APG) methods, such as Trust Region policy optimization and Proximal policy optimization (PPO), have become the dominant reinforcement learning algorithms because of their ease of implementation and good…

最优化与控制 · 数学 2022-03-22 J. G. Dai , Mark Gluzman
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