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We introduce a framework to approximate a Markov Decision Process that stands on two pillars: state aggregation -- as the algorithmic infrastructure; and central-limit-theorem-type approximations -- as the mathematical underpinning of…

最优化与控制 · 数学 2021-04-13 Amy B. Z. Zhang , Itai Gurvich

In multi-task reinforcement learning (RL) under Markov decision processes (MDPs), the presence of shared latent structures among multiple MDPs has been shown to yield significant benefits to the sample efficiency compared to single-task RL.…

机器学习 · 计算机科学 2023-10-23 Ruiquan Huang , Yuan Cheng , Jing Yang , Vincent Tan , Yingbin Liang

In this paper, the aim is to develop a quantum counterpart to classical Markov decision processes (MDPs). Firstly, we provide a very general formulation of quantum MDPs with state and action spaces in the quantum domain, quantum…

量子物理 · 物理学 2024-09-19 Naci Saldi , Sina Sanjari , Serdar Yuksel

We present a hierarchical reinforcement learning framework that formulates each task in the hierarchy as a special type of Markov decision process for which the Bellman equation is linear and has analytical solution. Problems of this type,…

人工智能 · 计算机科学 2016-03-11 Anders Jonsson , Vicenç Gómez

In Markov Decision Processes (MDPs) with intermittent state information, decision-making becomes challenging due to periods of missing observations. Linear programming (LP) methods can play a crucial role in solving MDPs, in particular,…

最优化与控制 · 数学 2025-09-09 Konstantin Avrachenkov , Madhu Dhiman , Veeraruna Kavitha

An optimal feedback controller for a given Markov decision process (MDP) can in principle be synthesized by value or policy iteration. However, if the system dynamics and the reward function are unknown, a learning agent must discover an…

机器学习 · 计算机科学 2019-07-19 Boris Belousov , Jan Peters

Uplift modeling aims to directly model the incremental impact of a treatment on an individual response. In this work, we address the problem from a new angle and reformulate it as a Markov Decision Process (MDP). We conducted extensive…

机器学习 · 计算机科学 2019-02-06 Chenchen Li , Xiang Yan , Xiaotie Deng , Yuan Qi , Wei Chu , Le Song , Junlong Qiao , Jianshan He , Junwu Xiong

We introduce synchronizing objectives for Markov decision processes (MDP). Intuitively, a synchronizing objective requires that eventually, at every step there is a state which concentrates almost all the probability mass. In particular, it…

计算机科学中的逻辑 · 计算机科学 2011-02-22 Laurent Doyen , Thierry Massart , Mahsa Shirmohammadi

Deep reinforcement learning (RL) algorithms have achieved great success on a wide variety of sequential decision-making tasks. However, many of these algorithms suffer from high sample complexity when learning from scratch using…

机器学习 · 统计学 2020-06-15 Michael Wan , Tanmay Gangwani , Jian Peng

Automated synthesis of provably correct controllers for cyber-physical systems is crucial for deployment in safety-critical scenarios. However, hybrid features and stochastic or unknown behaviours make this problem challenging. We propose a…

系统与控制 · 电气工程与系统科学 2023-08-07 Luke Rickard , Thom Badings , Licio Romao , Alessandro Abate

It is common to address the curse of dimensionality in Markov decision processes (MDPs) by exploiting low-rank representations. This motivates much of the recent theoretical study on linear MDPs. However, most approaches require a given…

机器学习 · 计算机科学 2022-12-09 Tianjun Zhang , Tongzheng Ren , Mengjiao Yang , Joseph E. Gonzalez , Dale Schuurmans , Bo Dai

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

This paper addresses the cooperative Multi-Vehicle Dynamic Pickup and Delivery Problem with Stochastic Requests (MVDPDPSR) and proposes an end-to-end centralized decision-making framework based on sequence-to-sequence, named Multi-Agent…

机器学习 · 计算机科学 2025-12-18 Zengyu Zou , Jingyuan Wang , Yixuan Huang , Junjie Wu

Hierarchical architectures are critical to the scalability of reinforcement learning methods. Current hierarchical frameworks execute actions serially, with macro-actions comprising sequences of primitive actions. We propose a novel…

人工智能 · 计算机科学 2016-12-09 Andrew M. Saxe , Adam Earle , Benjamin Rosman

In this work, we consider the problem of collaborative multi-user reinforcement learning. In this setting there are multiple users with the same state-action space and transition probabilities but with different rewards. Under the…

机器学习 · 计算机科学 2023-05-23 Naman Agarwal , Prateek Jain , Suhas Kowshik , Dheeraj Nagaraj , Praneeth Netrapalli

In dynamic programming (DP) and reinforcement learning (RL), an agent learns to act optimally in terms of expected long-term return by sequentially interacting with its environment modeled by a Markov decision process (MDP). More generally…

机器学习 · 计算机科学 2022-01-03 Mastane Achab , Gergely Neu

Interval Markov decision processes (IMDPs) generalise classical MDPs by having interval-valued transition probabilities. They provide a powerful modelling tool for probabilistic systems with an additional variation or uncertainty that…

系统与控制 · 计算机科学 2017-07-07 Ernst Moritz Hahn , Vahid Hashemi , Holger Hermanns , Morteza Lahijanian , Andrea Turrini

Non-stationary environments are challenging for reinforcement learning algorithms. If the state transition and/or reward functions change based on latent factors, the agent is effectively tasked with optimizing a behavior that maximizes…

机器学习 · 计算机科学 2021-05-21 Lucas N. Alegre , Ana L. C. Bazzan , Bruno C. da Silva

We consider episodic reinforcement learning in reward-mixing Markov decision processes (RMMDPs): at the beginning of every episode nature randomly picks a latent reward model among $M$ candidates and an agent interacts with the MDP…

机器学习 · 计算机科学 2022-10-07 Jeongyeol Kwon , Yonathan Efroni , Constantine Caramanis , Shie Mannor

We study the problem of selecting a small, representative action subset from an extremely large action space shared across a family of reinforcement learning (RL) environments -- a fundamental challenge in applications like inventory…

机器学习 · 计算机科学 2025-12-01 Quan Zhou , Shie Mannor