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In this paper, we formalize the almost sure convergence of $Q$-learning and linear temporal difference (TD) learning with Markovian samples using the Lean 4 theorem prover based on the Mathlib library. $Q$-learning and linear TD are among…

Machine Learning · Computer Science 2025-11-06 Shangtong Zhang

Text-to-3D generation based on score distillation of pre-trained 2D diffusion models has gained increasing interest, with variational score distillation (VSD) as a remarkable example. VSD proves that vanilla score distillation can be…

Computer Vision and Pattern Recognition · Computer Science 2025-07-15 Yu Lei , Bingde Liu , Qingsong Xie , Haonan Lu , Zhijie Deng

Emphatic temporal difference (ETD) learning (Sutton et al., 2016) is a successful method to conduct the off-policy value function evaluation with function approximation. Although ETD has been shown to converge asymptotically to a desirable…

Machine Learning · Computer Science 2022-07-18 Ziwei Guan , Tengyu Xu , Yingbin Liang

Temporal difference (TD) learning is one of the main foundations of modern reinforcement learning. This paper studies the use of TD(0), a canonical TD algorithm, to estimate the value function of a given policy from a batch of data. In this…

Machine Learning · Computer Science 2020-08-18 Brahma Pavse , Ishan Durugkar , Josiah Hanna , Peter Stone

With the rapid development of vision tasks and the scaling on datasets and models, redundancy reduction in vision datasets has become a key area of research. To address this issue, dataset distillation (DD) has emerged as a promising…

Computer Vision and Pattern Recognition · Computer Science 2025-06-04 Yinjie Zhao , Heng Zhao , Bihan Wen , Yew-Soon Ong , Joey Tianyi Zhou

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

Domain shift remains a key challenge in deploying machine learning models to the real world. Unsupervised domain adaptation (UDA) aims to address this by minimising domain discrepancy during training, but the discrepancy estimates suffer…

Machine Learning · Computer Science 2026-05-07 Andrea Napoli , Paul White

Value iteration-type methods have been extensively studied for computing a nearly optimal value function in reinforcement learning (RL). Under a generative sampling model, these methods can achieve sharper sample complexity than policy…

Optimization and Control · Mathematics 2026-04-08 Zhichao Jia , Guanghui Lan

This paper introduces the variational R\'enyi bound (VR) that extends traditional variational inference to R\'enyi's alpha-divergences. This new family of variational methods unifies a number of existing approaches, and enables a smooth…

Machine Learning · Statistics 2016-10-31 Yingzhen Li , Richard E. Turner

Reinforcement learning (RL) algorithms allow artificial agents to improve their selection of actions to increase rewarding experiences in their environments. Temporal Difference (TD) Learning -- a model-free RL method -- is a leading…

Machine Learning · Computer Science 2019-09-05 Jacob Rafati , David C. Noelle

We consider the off-policy evaluation problem in Markov decision processes with function approximation. We propose a generalization of the recently introduced \emph{emphatic temporal differences} (ETD) algorithm \citep{SuttonMW15}, which…

Machine Learning · Statistics 2015-11-30 Assaf Hallak , Aviv Tamar , Remi Munos , Shie Mannor

Knowledge distillation (KD) is a widely adopted technique for transferring knowledge from large language models to smaller student models; however, conventional supervised KD often suffers from a distribution mismatch between training and…

Machine Learning · Computer Science 2026-04-21 Ijun Jang , Jewon Yeom , Juan Yeo , Hyunggu Lim , Taesup Kim

Gradient temporal-difference (GTD) learning algorithms are widely used for off-policy policy evaluation with function approximation. However, existing convergence analyses rely on the restrictive assumption that the so-called feature…

Machine Learning · Computer Science 2026-05-11 Hyunjun Na , Donghwan Lee

Sutton, Szepesv\'{a}ri and Maei introduced the first gradient temporal-difference (GTD) learning algorithms compatible with both linear function approximation and off-policy training. The goal of this paper is (a) to propose some variants…

Machine Learning · Computer Science 2024-01-23 Donghwan Lee , Han-Dong Lim , Jihoon Park , Okyong Choi

Policy gradient methods are a vital ingredient behind the success of modern reinforcement learning. Modern policy gradient methods, although successful, introduce a residual error in gradient estimation. In this work, we argue that this…

Machine Learning · Computer Science 2024-03-05 Pulkit Katdare , Anant Joshi , Katherine Driggs-Campbell

Emphatic Temporal Difference (ETD) learning has recently been proposed as a convergent off-policy learning method. ETD was proposed mainly to address convergence issues of conventional Temporal Difference (TD) learning under off-policy…

Artificial Intelligence · Computer Science 2019-03-04 Xiang Gu , Sina Ghiassian , Richard S. Sutton

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

The temporal difference (TD) error was first formalized in Sutton (1988), where it was first characterized as the difference between temporally successive predictions, and later, in that same work, formulated as the difference between a…

Machine Learning · Computer Science 2026-03-24 Juan Sebastian Rojas , Chi-Guhn Lee

Temporal-difference (TD) networks are a class of predictive state representations that use well-established TD methods to learn models of partially observable dynamical systems. Previous research with TD networks has dealt only with…

Machine Learning · Computer Science 2012-05-14 Christopher M. Vigorito

The finite-time convergence of off-policy TD learning has been comprehensively studied recently. However, such a type of convergence has not been well established for off-policy TD learning in the multi-agent setting, which covers broader…

Machine Learning · Computer Science 2021-03-25 Ziyi Chen , Yi Zhou , Rongrong Chen
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