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We study the finite-time convergence of TD learning with linear function approximation under Markovian sampling. Existing proofs for this setting either assume a projection step in the algorithm to simplify the analysis, or require a fairly…

Machine Learning · Computer Science 2024-06-27 Aritra Mitra

We consider the emphatic temporal-difference (TD) algorithm, ETD($\lambda$), for learning the value functions of stationary policies in a discounted, finite state and action Markov decision process. The ETD($\lambda$) algorithm was recently…

Machine Learning · Computer Science 2017-01-23 Huizhen Yu

In this paper, we propose a model-free reinforcement learning method to synthesize control policies for motion planning problems with continuous states and actions. The robot is modelled as a labeled discrete-time Markov decision process…

Artificial Intelligence · Computer Science 2020-10-01 Chuanzheng Wang , Yinan Li , Stephen L. Smith , Jun Liu

Value function approximation is a crucial module for policy evaluation in reinforcement learning when the state space is large or continuous. The present paper takes a generative perspective on policy evaluation via temporal-difference (TD)…

Machine Learning · Statistics 2021-12-03 Qin Lu , Georgios B. Giannakis

We study a class of reinforcement learning (RL) tasks where the objective of the agent is to accomplish temporally extended goals. In this setting, a common approach is to represent the tasks as deterministic finite automata (DFA) and…

Artificial Intelligence · Computer Science 2023-06-27 Yash Paliwal , Rajarshi Roy , Jean-Raphaël Gaglione , Nasim Baharisangari , Daniel Neider , Xiaoming Duan , Ufuk Topcu , Zhe Xu

Temporal-difference (TD) learning is an important field in reinforcement learning. Sarsa and Q-Learning are among the most used TD algorithms. The Q($\sigma$) algorithm (Sutton and Barto (2017)) unifies both. This paper extends the…

Artificial Intelligence · Computer Science 2017-11-07 Markus Dumke

Temporal-difference learning is a popular algorithm for policy evaluation. In this paper, we study the convergence of the regularized non-parametric TD(0) algorithm, in both the independent and Markovian observation settings. In particular,…

Optimization and Control · Mathematics 2022-05-25 Eloïse Berthier , Ziad Kobeissi , Francis Bach

Off-policy algorithms, in which a behavior policy differs from the target policy and is used to gain experience for learning, have proven to be of great practical value in reinforcement learning. However, even for simple convex problems…

Machine Learning · Computer Science 2022-09-13 Rong J. B. Zhu , James M. Murray

This paper develops an unified framework to study finite-sample convergence guarantees of a large class of value-based asynchronous reinforcement learning (RL) algorithms. We do this by first reformulating the RL algorithms as…

Machine Learning · Computer Science 2023-09-06 Zaiwei Chen , Siva Theja Maguluri , Sanjay Shakkottai , Karthikeyan Shanmugam

Tasks with complex temporal structures and long horizons pose a challenge for reinforcement learning agents due to the difficulty in specifying the tasks in terms of reward functions as well as large variances in the learning signals. We…

Artificial Intelligence · Computer Science 2018-09-27 Xiao Li , Yao Ma , Calin Belta

We propose a new approach to value function approximation which combines linear temporal difference reinforcement learning with subspace identification. In practical applications, reinforcement learning (RL) is complicated by the fact that…

Machine Learning · Computer Science 2015-03-17 Byron Boots , Geoffrey J. Gordon

Local-remote systems allow robots to execute complex tasks in hazardous environments such as space and nuclear power stations. However, establishing accurate positional mapping between local and remote devices can be difficult due to time…

Artificial Intelligence · Computer Science 2023-09-21 Luc McCutcheon , Saber Fallah

We study the link between generalization and interference in temporal-difference (TD) learning. Interference is defined as the inner product of two different gradients, representing their alignment. This quantity emerges as being of…

Machine Learning · Computer Science 2020-03-16 Emmanuel Bengio , Joelle Pineau , Doina Precup

This paper investigates estimating the variance of a temporal-difference learning agent's update target. Most reinforcement learning methods use an estimate of the value function, which captures how good it is for the agent to be in a…

Artificial Intelligence · Computer Science 2018-02-15 Craig Sherstan , Brendan Bennett , Kenny Young , Dylan R. Ashley , Adam White , Martha White , Richard S. Sutton

Temporal-Difference (TD) learning methods, such as Q-Learning, have proven effective at learning a policy to perform control tasks. One issue with methods like Q-Learning is that the value update introduces bias when predicting the TD…

Machine Learning · Computer Science 2021-10-29 Litian Liang , Yaosheng Xu , Stephen McAleer , Dailin Hu , Alexander Ihler , Pieter Abbeel , Roy Fox

We know from reinforcement learning theory that temporal difference learning can fail in certain cases. Sutton and Barto (2018) identify a deadly triad of function approximation, bootstrapping, and off-policy learning. When these three…

Artificial Intelligence · Computer Science 2018-12-07 Hado van Hasselt , Yotam Doron , Florian Strub , Matteo Hessel , Nicolas Sonnerat , Joseph Modayil

This tutorial survey provides an overview of recent non-asymptotic advances in statistical learning theory as relevant to control and system identification. While there has been substantial progress across all areas of control, the theory…

Systems and Control · Electrical Eng. & Systems 2023-04-28 Anastasios Tsiamis , Ingvar Ziemann , Nikolai Matni , George J. Pappas

There are two distinct approaches to solving reinforcement learning problems, namely, searching in value function space and searching in policy space. Temporal difference methods and evolutionary algorithms are well-known examples of these…

Machine Learning · Computer Science 2011-06-02 J. J. Grefenstette , D. E. Moriarty , A. C. Schultz

Reinforcement learning (RL) is a promising approach. However, success is limited to real-world applications, because ensuring safe exploration and facilitating adequate exploitation is a challenge for controlling robotic systems with…

Robotics · Computer Science 2022-08-29 Mingyu Cai , Cristian-Ioan Vasile

Temporal-difference learning with gradient correction (TDC) is a two time-scale algorithm for policy evaluation in reinforcement learning. This algorithm was initially proposed with linear function approximation, and was later extended to…

Machine Learning · Computer Science 2021-10-29 Yue Wang , Shaofeng Zou , Yi Zhou
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