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Temporal-Difference (TD) learning is a standard and very successful reinforcement learning approach, at the core of both algorithms that learn the value of a given policy, as well as algorithms which learn how to improve policies.…

Machine Learning · Computer Science 2020-05-19 Mingde Zhao , Sitao Luan , Ian Porada , Xiao-Wen Chang , Doina Precup

Additive parameter updates, as used in gradient descent and its adaptive extensions, underpin most modern machine-learning optimization. Yet, such additive schemes often demand numerous iterations and intricate learning-rate schedules to…

Machine Learning · Computer Science 2026-03-25 Han Kim , Hyungjoon Soh , Vipul Periwal , Junghyo Jo

Many offline reinforcement learning algorithms are underpinned by $f$-divergence regularization, but their sample complexity *defined with respect to regularized objectives* still lacks tight analyses, especially in terms of concrete data…

Machine Learning · Computer Science 2026-02-27 Qingyue Zhao , Kaixuan Ji , Heyang Zhao , Tong Zhang , Quanquan Gu

Article discusses the application of Kullback-Leibler divergence to the recognition of speech signals and suggests three algorithms implementing this divergence criterion: correlation algorithm, spectral algorithm and filter algorithm.…

Artificial Intelligence · Computer Science 2007-05-23 Igor Bocharov , Pavel Lukin

Evidential deep learning (EDL) models, based on Subjective Logic, introduce a principled and computationally efficient way to make deterministic neural networks uncertainty-aware. The resulting evidential models can quantify fine-grained…

Machine Learning · Computer Science 2026-01-01 Deep Shankar Pandey , Hyomin Choi , Qi Yu

In this paper, we compare the performance of two methods for estimating Bayesian networks from data containing exogenous variables and random effects. The first method is fully Bayesian in which a prior distribution is placed on the…

Methodology · Statistics 2011-12-02 Jessica Kasza , Patty Solomon

Deep learning (DL) techniques have gained significant popularity among software engineering (SE) researchers in recent years. This is because they can often solve many SE challenges without enormous manual feature engineering effort and…

Software Engineering · Computer Science 2024-12-10 Chao Liu , Cuiyun Gao , Xin Xia , David Lo , John Grundy , Xiaohu Yang

Maximum regularized likelihood estimators (MRLEs) are arguably the most established class of estimators in high-dimensional statistics. In this paper, we derive guarantees for MRLEs in Kullback-Leibler divergence, a general measure of…

Machine Learning · Statistics 2018-10-18 Rui Zhuang , Johannes Lederer

For training an encoder network to perform amortized variational inference, the Kullback-Leibler (KL) divergence from the exact posterior to its approximation, known as the inclusive or forward KL, is an increasingly popular choice of…

Machine Learning · Computer Science 2024-03-19 Declan McNamara , Jackson Loper , Jeffrey Regier

We consider distributed optimization under communication constraints for training deep learning models. We propose a new algorithm, whose parameter updates rely on two forces: a regular gradient step, and a corrective direction dictated by…

Machine Learning · Computer Science 2022-04-29 Yunfei Teng , Wenbo Gao , Francois Chalus , Anna Choromanska , Donald Goldfarb , Adrian Weller

For a parametric model of distributions, the closest distribution in the model to the true distribution located outside the model is considered. Measuring the closeness between two distributions with the Kullback-Leibler (K-L) divergence,…

Statistics Theory · Mathematics 2025-10-14 Yo Sheena

Reverse Kullback-Leibler (RKL) divergence has recently emerged as the preferred objective for large language model (LLM) distillation, consistently outperforming forward KL (FKL), particularly in regimes with large vocabularies and…

Machine Learning · Computer Science 2026-04-02 Hoang-Chau Luong , Dat Ba Tran , Lingwei Chen

We consider the parameter estimation problem of a probabilistic generative model prescribed using a natural exponential family of distributions. For this problem, the typical maximum likelihood estimator usually overfits under limited…

Machine Learning · Statistics 2020-10-13 Viet Anh Nguyen , Xuhui Zhang , Jose Blanchet , Angelos Georghiou

To ensure stability of learning, state-of-the-art generalized policy iteration algorithms augment the policy improvement step with a trust region constraint bounding the information loss. The size of the trust region is commonly determined…

Machine Learning · Computer Science 2018-04-05 Boris Belousov , Jan Peters

This paper investigates the accuracy of generative models and the impact of knowledge transfer on their generation precision. Specifically, we examine a generative model for a target task, fine-tuned using a pre-trained model from a source…

Machine Learning · Statistics 2025-06-03 Xinyu Tian , Xiaotong Shen

Stochastic gradient descent (SGD) is the workhorse of large-scale learning, yet classical analyses rely on assumptions that can be either too strong (bounded variance) or too coarse (uniform noise). The expected smoothness (ES) condition…

Machine Learning · Computer Science 2025-10-28 Yuta Kawamoto , Hideaki Iiduka

Many machine learning applications encounter a situation where model providers are required to further refine the previously trained model so as to gratify the specific need of local users. This problem is reduced to the standard model…

Machine Learning · Computer Science 2023-07-31 Jing Li , Yuangang Pan , Yueming Lyu , Yinghua Yao , Yulei Sui , Ivor W. Tsang

In order to help physicists to expand their knowledge of the climate in the Lesser Antilles, we aim to identify the spatio-temporal configurations using clustering analysis on wind speed and cumulative rainfall datasets. But we show that…

Machine Learning · Computer Science 2020-06-11 Emmanuel Biabiany , Vincent Page , Didier Bernard , Hélène Paugam-Moisy

Knowledge Distillation (KD) is a fundamental technique for compressing large language models (LLMs) into compact, efficient student models. However, existing white-box KD methods mainly focus on balancing ground truth and student-generated…

Computation and Language · Computer Science 2025-08-11 Lingyuan Liu , Mengxiang Zhang

Extended Dynamic Mode Decomposition (EDMD) is a popular data-driven method to approximate the Koopman operator for deterministic and stochastic (control) systems. This operator is linear and encompasses full information on the (expected…

Dynamical Systems · Mathematics 2023-12-19 Friedrich Philipp , Manuel Schaller , Karl Worthmann , Sebastian Peitz , Feliks Nüske