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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

Reinforcement learning lies at the intersection of several challenges. Many applications of interest involve extremely large state spaces, requiring function approximation to enable tractable computation. In addition, the learner has only a…

机器学习 · 计算机科学 2021-05-11 Andrew Jacobsen , Alan Chan

Greedy-GQ is an off-policy two timescale algorithm for optimal control in reinforcement learning. This paper develops the first finite-sample analysis for the Greedy-GQ algorithm with linear function approximation under Markovian noise. Our…

机器学习 · 计算机科学 2020-05-21 Yue Wang , Shaofeng Zou

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

A variant of consensus based distributed gradient descent (\textbf{DGD}) is studied for finite sums of smooth but possibly non-convex functions. In particular, the local gradient term in the fixed step-size iteration of each agent is…

最优化与控制 · 数学 2026-05-27 Lei Qin , Michael Cantoni , Ye Pu

We consider emphatic temporal-difference learning algorithms for policy evaluation in discounted Markov decision processes with finite spaces. Such algorithms were recently proposed by Sutton, Mahmood, and White (2015) as an improved…

机器学习 · 计算机科学 2017-12-29 Huizhen Yu

Off-policy learning refers to the problem of learning the value function of a way of behaving, or policy, while following a different policy. Gradient-based off-policy learning algorithms, such as GTD and TDC/GQ, converge even when using…

人工智能 · 计算机科学 2015-12-15 Lucas Lehnert , Doina Precup

General Value Function (GVF) is a powerful tool to represent both the {\em predictive} and {\em retrospective} knowledge in reinforcement learning (RL). In practice, often multiple interrelated GVFs need to be evaluated jointly with…

机器学习 · 计算机科学 2021-07-07 Tengyu Xu , Zhuoran Yang , Zhaoran Wang , Yingbin Liang

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…

机器学习 · 计算机科学 2016-07-21 Richard S. Sutton , A. Rupam Mahmood , Martha White

In this paper, we investigate a general class of stochastic gradient descent (SGD) algorithms, called Conditioned SGD, based on a preconditioning of the gradient direction. Using a discrete-time approach with martingale tools, we establish…

统计理论 · 数学 2023-10-17 Rémi Leluc , François Portier

In this paper we consider solving saddle point problems using two variants of Gradient Descent-Ascent algorithms, Extra-gradient (EG) and Optimistic Gradient Descent Ascent (OGDA) methods. We show that both of these algorithms admit a…

最优化与控制 · 数学 2019-09-06 Aryan Mokhtari , Asuman Ozdaglar , Sarath Pattathil

Gradient clipping is commonly used in training deep neural networks partly due to its practicability in relieving the exploding gradient problem. Recently, \citet{zhang2019gradient} show that clipped (stochastic) Gradient Descent (GD)…

机器学习 · 计算机科学 2020-10-30 Bohang Zhang , Jikai Jin , Cong Fang , Liwei Wang

Stochastic Gradient Descent (SGD) methods see many uses in optimization problems. Modifications to the algorithm, such as momentum-based SGD methods have been known to produce better results in certain cases. Much of this, however, is due…

机器学习 · 计算机科学 2025-04-22 Eric Lu

In reinforcement learning (RL), offline learning decoupled learning from data collection and is useful in dealing with exploration-exploitation tradeoff and enables data reuse in many applications. In this work, we study two offline…

机器学习 · 计算机科学 2022-02-08 Jing Dong , Xin T. Tong

We study two time-scale linear stochastic approximation algorithms, which can be used to model well-known reinforcement learning algorithms such as GTD, GTD2, and TDC. We present finite-time performance bounds for the case where the…

机器学习 · 计算机科学 2019-07-16 Harsh Gupta , R. Srikant , Lei Ying

Off-policy learning allows us to learn about possible policies of behavior from experience generated by a different behavior policy. Temporal difference (TD) learning algorithms can become unstable when combined with function approximation…

机器学习 · 计算机科学 2021-06-23 Ray Jiang , Tom Zahavy , Zhongwen Xu , Adam White , Matteo Hessel , Charles Blundell , Hado van Hasselt

Adaptive gradient methods have attracted much attention of machine learning communities due to the high efficiency. However their acceleration effect in practice, especially in neural network training, is hard to analyze, theoretically. The…

最优化与控制 · 数学 2020-06-15 Xunpeng Huang , Hao Zhou , Runxin Xu , Zhe Wang , Lei Li

Temporal difference learning (TD) is a simple iterative algorithm used to estimate the value function corresponding to a given policy in a Markov decision process. Although TD is one of the most widely used algorithms in reinforcement…

机器学习 · 计算机科学 2018-11-07 Jalaj Bhandari , Daniel Russo , Raghav Singal

Stochastic Gradient Descent (SGD) is an important algorithm in machine learning. With constant learning rates, it is a stochastic process that, after an initial phase of convergence, generates samples from a stationary distribution. We show…

机器学习 · 统计学 2017-09-12 Stephan Mandt , Matthew D. Hoffman , David M. Blei

We consider large linear and nonlinear fixed point problems, and solution with proximal algorithms. We show that there is a close connection between two seemingly different types of methods from distinct fields: 1) Proximal iterations for…

数值分析 · 计算机科学 2019-09-05 Dimitri P. Bertsekas