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The analysis of Temporal Difference (TD) learning in the average-reward setting faces notable theoretical difficulties because the Bellman operator is not contractive with respect to any norm. This complicates standard analyses of…

Machine Learning · Computer Science 2026-05-05 Haoxing Tian , Zaiwei Chen , Ioannis Ch. Paschalidis , Alex Olshevsky

Model-based reinforcement learning algorithms that combine model-based planning and learned value/policy prior have gained significant recognition for their high data efficiency and superior performance in continuous control. However, we…

Machine Learning · Computer Science 2025-02-07 Haotian Lin , Pengcheng Wang , Jeff Schneider , Guanya Shi

The goal of this manuscript is to conduct a controltheoretic analysis of Temporal Difference (TD) learning algorithms. TD-learning serves as a cornerstone in the realm of reinforcement learning, offering a methodology for approximating the…

Artificial Intelligence · Computer Science 2023-09-12 Donghwan Lee , Do Wan Kim

In this paper we introduce the idea of improving the performance of parametric temporal-difference (TD) learning algorithms by selectively emphasizing or de-emphasizing their updates on different time steps. In particular, we show that…

Machine Learning · Computer Science 2016-07-21 Richard S. Sutton , A. Rupam Mahmood , Martha White

Recent research endeavours have theoretically shown the beneficial effect of cooperation in multi-agent reinforcement learning (MARL). In a setting involving $N$ agents, this beneficial effect usually comes in the form of an $N$-fold linear…

Multiagent Systems · Computer Science 2024-07-31 Nicolò Dal Fabbro , Arman Adibi , Aritra Mitra , George J. Pappas

Temporal difference (TD) learning is a fundamental algorithm for estimating value functions in reinforcement learning. Recent finite-time analyses of TD with linear function approximation quantify its theoretical convergence rate. However,…

Machine Learning · Computer Science 2026-03-04 Yunxiang Li , Mark Schmidt , Reza Babanezhad , Sharan Vaswani

In Volt/Var control (VVC) of active distribution networks(ADNs), both slow timescale discrete devices (STDDs) and fast timescale continuous devices (FTCDs) are involved. The STDDs such as on-load tap changers (OLTC) and FTCDs such as…

Systems and Control · Electrical Eng. & Systems 2021-04-14 Haotian Liu , Wenchuan Wu

In the framework of Markov Decision Processes, off-policy learning, that is the problem of learning a linear approximation of the value function of some fixed policy from one trajectory possibly generated by some other policy. We briefly…

Artificial Intelligence · Computer Science 2013-04-16 Matthieu Geist , Bruno Scherrer

As an important framework for safe Reinforcement Learning, the Constrained Markov Decision Process (CMDP) has been extensively studied in the recent literature. However, despite the rich results under various on-policy learning settings,…

Machine Learning · Computer Science 2022-07-14 Fan Chen , Junyu Zhang , Zaiwen Wen

We consider the problem of decentralized optimization where a collection of agents, each having access to a local cost function, communicate over a time-varying directed network and aim to minimize the sum of those functions. In practice,…

Systems and Control · Electrical Eng. & Systems 2021-09-01 Yiyue Chen , Abolfazl Hashemi , Haris Vikalo

Motivated by applications in risk-sensitive reinforcement learning, we study mean-variance optimization in a discounted reward Markov Decision Process (MDP). Specifically, we analyze a Temporal Difference (TD) learning algorithm with linear…

Machine Learning · Computer Science 2025-03-13 Tejaram Sangadi , L. A. Prashanth , Krishna Jagannathan

Two timescale stochastic approximation (SA) has been widely used in value-based reinforcement learning algorithms. In the policy evaluation setting, it can model the linear and nonlinear temporal difference learning with gradient correction…

Machine Learning · Computer Science 2020-11-11 Tengyu Xu , Yingbin Liang

We study personalized multi-agent average reward TD learning, in which a collection of agents interacts with different environments and jointly learns their respective value functions. We focus on the setting where there exists a shared…

Machine Learning · Computer Science 2026-03-10 Leo Muxing Wang , Pengkun Yang , Lili Su

The average reward is a fundamental performance metric in reinforcement learning (RL) focusing on the long-run performance of an agent. Differential temporal difference (TD) learning algorithms are a major advance for average reward RL as…

Machine Learning · Computer Science 2026-02-19 Ethan Blaser , Jiuqi Wang , Shangtong Zhang

We study policy evaluation problems in multi-task reinforcement learning (RL) under a low-rank representation setting. In this setting, we are given $N$ learning tasks where the corresponding value function of these tasks lie in an…

Machine Learning · Computer Science 2025-03-05 Yitao Bai , Sihan Zeng , Justin Romberg , Thinh T. Doan

In this paper we consider the problem of obtaining sharp bounds for the performance of temporal difference (TD) methods with linear function approximation for policy evaluation in discounted Markov decision processes. We show that a simple…

Machine Learning · Statistics 2024-06-18 Sergey Samsonov , Daniil Tiapkin , Alexey Naumov , Eric Moulines

We study the policy evaluation problem in multi-agent reinforcement learning (MARL) over directed communication networks, where agents cooperate with each other to explore an unknown environment and accomplish a specific task. We propose a…

Optimization and Control · Mathematics 2026-05-07 Haocheng Yang , Shengchao Zhao , Yongchao Liu

We study the $(\varepsilon, \delta)$-PAC policy identification problem in finite-horizon episodic Markov Decision Processes. Existing approaches provide finite-time guarantees for approximate settings ($\varepsilon>0$) but suffer from high…

Machine Learning · Computer Science 2026-05-06 Cyrille Kone , Kevin Jamieson

Conversational agents are usually designed for closed-world environments. Unfortunately, users can behave unexpectedly. Based on the open-world environment, we often encounter the situation that the training and test data are sampled from…

Computation and Language · Computer Science 2022-04-25 Petr Lorenc , Tommaso Gargiani , Jan Pichl , Jakub Konrád , Petr Marek , Ondřej Kobza , Jan Šedivý

Many real-world tasks involve multiple agents with partial observability and limited communication. Learning is challenging in these settings due to local viewpoints of agents, which perceive the world as non-stationary due to…

Machine Learning · Computer Science 2018-05-23 Shayegan Omidshafiei , Jason Pazis , Christopher Amato , Jonathan P. How , John Vian