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This paper considers the policy evaluation problem in a multi-agent reinforcement learning (MARL) environment over decentralized and directed networks. The focus is on decentralized temporal difference (TD) learning with linear function…

Optimization and Control · Mathematics 2021-09-01 Zhaoxian Wu , Han Shen , Tianyi Chen , Qing Ling

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

The true online TD({\lambda}) algorithm has recently been proposed (van Seijen and Sutton, 2014) as a universal replacement for the popular TD({\lambda}) algorithm, in temporal-difference learning and reinforcement learning. True online…

Artificial Intelligence · Computer Science 2015-07-03 Harm van Seijen , A. Rupam Mahmood , Patrick M. Pilarski , Richard S. Sutton

We provide non-asymptotic bounds for the well-known temporal difference learning algorithm TD(0) with linear function approximators. These include high-probability bounds as well as bounds in expectation. Our analysis suggests that a…

Machine Learning · Computer Science 2015-09-02 Nathaniel Korda , L. A. Prashanth

In this study,a new method was presented by developing Reduced differential transform method in order to find approximate solution of partial differential equations. Here, RDTM with fixed grid size algorithm was developed for the first time…

General Mathematics · Mathematics 2015-12-31 Sema Servi , Yildiray Keskin , Galip Oturanc

LSTD is a popular algorithm for value function approximation. Whenever the number of features is larger than the number of samples, it must be paired with some form of regularization. In particular, L1-regularization methods tend to perform…

Machine Learning · Computer Science 2012-07-03 Matthieu Geist , Bruno Scherrer , Alessandro Lazaric , Mohammad Ghavamzadeh

Reinforcement learning has been successful across several applications in which agents have to learn to act in environments with sparse feedback. However, despite this empirical success there is still a lack of theoretical understanding of…

Machine Learning · Statistics 2023-11-08 Blake Bordelon , Paul Masset , Henry Kuo , Cengiz Pehlevan

We introduce a framework for approximate dynamic programming that we apply to discrete time chains on $\mathbb{Z}_+^d$ with countable action sets. Our approach is grounded in the approximation of the (controlled) chain's generator by that…

Optimization and Control · Mathematics 2018-04-16 Anton Braverman , Itai Gurvich , Junfei Huang

The optimal value function is one of the basic objects in the field of mathematical optimization, as it allows the evaluation of the variations in the cost/revenue generated while minimizing/maximizing a given function under some…

Optimization and Control · Mathematics 2021-11-29 Alain B. Zemkoho

Temporal difference (TD) learning is a fundamental technique in reinforcement learning that updates value estimates for states or state-action pairs using a TD target. This target represents an improved estimate of the true value by…

Machine Learning · Computer Science 2024-08-05 Wuhao Wang , Zhiyong Chen , Lepeng Zhang

Value function learning plays a central role in many state-of-the-art reinforcement-learning algorithms. Many popular algorithms like Q-learning do not optimize any objective function, but are fixed-point iterations of some variant of…

Machine Learning · Computer Science 2020-01-10 Yihao Feng , Lihong Li , Qiang Liu

Recent advances in recommender systems have shown that user-system interaction essentially formulates long-term optimization problems, and online reinforcement learning can be adopted to improve recommendation performance. The general…

Information Retrieval · Computer Science 2025-02-04 Xiaobei Wang , Shuchang Liu , Qingpeng Cai , Xiang Li , Lantao Hu , Han li , Guangming Xie

Understanding what information neural networks capture is an essential problem in deep learning, and studying whether different models capture similar features is an initial step to achieve this goal. Previous works sought to define metrics…

Machine Learning · Computer Science 2020-07-27 Yunzhen Feng , Runtian Zhai , Di He , Liwei Wang , Bin Dong

We present a quantum algorithm to solve dynamic programming problems with convex value functions. For linear discrete-time systems with a $d$-dimensional state space of size $N$, the proposed algorithm outputs a quantum-mechanical…

Quantum Physics · Physics 2021-03-18 David Sutter , Giacomo Nannicini , Tobias Sutter , Stefan Woerner

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

Market-based mechanisms such as auctions are being studied as an appropriate means for resource allocation in distributed and mulitagent decision problems. When agents value resources in combination rather than in isolation, they must often…

Artificial Intelligence · Computer Science 2013-01-30 Craig Boutilier , Moises Goldszmidt , Bikash Sabata

There has been an increasing surge of interest on development of advanced Reinforcement Learning (RL) systems as intelligent approaches to learn optimal control policies directly from smart agents' interactions with the environment.…

Machine Learning · Computer Science 2020-06-02 Parvin Malekzadeh , Mohammad Salimibeni , Arash Mohammadi , Akbar Assa , Konstantinos N. Plataniotis

This paper gives specific divergence examples of value-iteration for several major Reinforcement Learning and Adaptive Dynamic Programming algorithms, when using a function approximator for the value function. These divergence examples…

Machine Learning · Computer Science 2012-07-31 Michael Fairbank , Eduardo Alonso

We propose a method for meta-learning reinforcement learning algorithms by searching over the space of computational graphs which compute the loss function for a value-based model-free RL agent to optimize. The learned algorithms are…

Machine Learning · Computer Science 2022-11-11 John D. Co-Reyes , Yingjie Miao , Daiyi Peng , Esteban Real , Sergey Levine , Quoc V. Le , Honglak Lee , Aleksandra Faust

We derive an equation for temporal difference learning from statistical principles. Specifically, we start with the variational principle and then bootstrap to produce an updating rule for discounted state value estimates. The resulting…

Machine Learning · Computer Science 2008-11-03 Marcus Hutter , Shane Legg