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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…

机器学习 · 计算机科学 2025-03-05 Yitao Bai , Sihan Zeng , Justin Romberg , Thinh T. Doan

Off-policy prediction -- learning the value function for one policy from data generated while following another policy -- is one of the most challenging subproblems in reinforcement learning. This paper presents empirical results with…

机器学习 · 计算机科学 2021-06-15 Sina Ghiassian , Richard S. Sutton

Dynamic Programming suffers from the curse of dimensionality due to large state and action spaces, a challenge further compounded by uncertainties in the environment. To mitigate these issue, we explore an off-policy based Temporal…

系统与控制 · 电气工程与系统科学 2025-03-05 Ali Forootani , Raffaele Iervolino , Massimo Tipaldi , Mohammad Khosravi

Relative temporal-difference (TD) learning was introduced to mitigate the slow convergence of TD methods when the discount factor approaches one by subtracting a baseline from the temporal-difference update. While this idea has been studied…

机器学习 · 计算机科学 2026-04-08 Masoud S. Sakha , Rushikesh Kamalapurkar , Sean Meyn

We propose a stochastic approximation (SA) based method with randomization of samples for policy evaluation using the least squares temporal difference (LSTD) algorithm. Our proposed scheme is equivalent to running regular temporal…

机器学习 · 计算机科学 2020-01-27 L. A. Prashanth , Nathaniel Korda , Rémi Munos

We propose new continuous-time formulations for first-order stochastic optimization algorithms such as mini-batch gradient descent and variance-reduced methods. We exploit these continuous-time models, together with simple Lyapunov analysis…

最优化与控制 · 数学 2020-03-12 Antonio Orvieto , Aurelien Lucchi

We present for the first time an asymptotic convergence analysis of two time-scale stochastic approximation driven by "controlled" Markov noise. In particular, the faster and slower recursions have non-additive controlled Markov noise…

机器学习 · 计算机科学 2020-12-03 Prasenjit Karmakar

This paper revisits the temporal difference (TD) learning algorithm for the policy evaluation tasks in reinforcement learning. Typically, the performance of TD(0) and TD($\lambda$) is very sensitive to the choice of stepsizes. Oftentimes,…

最优化与控制 · 数学 2021-10-12 Tao Sun , Han Shen , Tianyi Chen , Dongsheng Li

As an important type of reinforcement learning algorithms, actor-critic (AC) and natural actor-critic (NAC) algorithms are often executed in two ways for finding optimal policies. In the first nested-loop design, actor's one update of…

机器学习 · 计算机科学 2020-05-11 Tengyu Xu , Zhe Wang , Yingbin Liang

We study the policy evaluation problem in multi-agent reinforcement learning, modeled by a Markov decision process. In this problem, the agents operate in a common environment under a fixed control policy, working together to discover the…

最优化与控制 · 数学 2020-01-13 Thinh T. Doan , Siva Theja Maguluri , Justin Romberg

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,…

机器学习 · 计算机科学 2022-07-14 Fan Chen , Junyu Zhang , Zaiwen Wen

Policy evaluation in reinforcement learning is often conducted using two-timescale stochastic approximation, which results in various gradient temporal difference methods such as GTD(0), GTD2, and TDC. Here, we provide convergence rate…

机器学习 · 计算机科学 2019-12-05 Gal Dalal , Balazs Szorenyi , Gugan Thoppe

This paper analyzes the stability of interconnected continuous-time (CT) and discrete-time (DT) systems coupled through sampling and zero-order hold mechanisms. The DT system updates its output at regular intervals $T>0$ by applying an…

系统与控制 · 电气工程与系统科学 2026-01-05 Yiting Chen , Francesco Bullo , Emiliano Dall'Anese

Many off-policy prediction learning algorithms have been proposed in the past decade, but it remains unclear which algorithms learn faster than others. We empirically compare 11 off-policy prediction learning algorithms with linear function…

机器学习 · 计算机科学 2021-09-14 Sina Ghiassian , Richard S. Sutton

The goal of this paper is to study a distributed version of the gradient temporal-difference (GTD) learning algorithm for a class of multi-agent Markov decision processes (MDPs). The temporal-difference (TD) learning is a reinforcement…

最优化与控制 · 数学 2020-04-29 Donghwan Lee , Jianghai Hu

We study the off-policy evaluation (OPE) problem in reinforcement learning with linear function approximation, which aims to estimate the value function of a target policy based on the offline data collected by a behavior policy. We propose…

机器学习 · 计算机科学 2022-01-05 Yifei Min , Tianhao Wang , Dongruo Zhou , Quanquan Gu

Motivated by the emerging use of multi-agent reinforcement learning (MARL) in engineering applications such as networked robotics, swarming drones, and sensor networks, we investigate the policy evaluation problem in a fully decentralized…

机器学习 · 计算机科学 2020-01-31 Jun Sun , Gang Wang , Georgios B. Giannakis , Qinmin Yang , Zaiyue Yang

A Task Decomposition method for iterative learning Model Predictive Control (TDMPC) for linear time-varying systems is presented. We consider the availability of state-input trajectories which solve an original task T1, and design a…

系统与控制 · 电气工程与系统科学 2020-05-05 Charlott Vallon , Francesco Borrelli

In experimenting with off-policy temporal difference (TD) methods in hierarchical reinforcement learning (HRL) systems, we have observed unwanted on-policy learning under reproducible conditions. Here we present modifications to several TD…

机器学习 · 计算机科学 2015-03-19 Mitchell Keith Bloch

Temporal difference (TD) methods constitute a class of methods for learning predictions in multi-step prediction problems, parameterized by a recency factor lambda. Currently the most important application of these methods is to temporal…

人工智能 · 计算机科学 2008-02-03 P. Cichosz