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Cross-validation (CV) is a popular approach for assessing and selecting predictive models. However, when the number of folds is large, CV suffers from a need to repeatedly refit a learning procedure on a large number of training datasets.…

Machine Learning · Statistics 2020-06-12 Ashia Wilson , Maximilian Kasy , Lester Mackey

Cross-validation (CV) is a popular method for model-selection. Unfortunately, it is not immediately obvious how to apply CV to unsupervised or exploratory contexts. This thesis discusses some extensions of cross-validation to unsupervised…

Methodology · Statistics 2009-09-17 Patrick O. Perry

The decision to incorporate cross-validation into validation processes of mathematical models raises an immediate question - how should one partition the data into calibration and validation sets? We answer this question systematically: we…

Data Analysis, Statistics and Probability · Physics 2011-08-31 Rebecca Morrison , Corey Bryant , Gabriel Terejanu , Kenji Miki , Serge Prudhomme

Cross-validation is a well-known and widely used bandwidth selection method in nonparametric regression estimation. However, this technique has two remarkable drawbacks: (i) the large variability of the selected bandwidths, and (ii) the…

Methodology · Statistics 2021-05-11 D. Barreiro-Ures , R. Cao , M. Francisco-Fernández

Cross-validation (CV) is one of the main tools for performance estimation and parameter tuning in machine learning. The general recipe for computing CV estimate is to run a learning algorithm separately for each CV fold, a computationally…

Machine Learning · Statistics 2015-07-02 Pooria Joulani , András György , Csaba Szepesvári

Speculative decoding is a promising approach for accelerating large language models. The primary idea is to use a lightweight draft model to speculate the output of the target model for multiple subsequent timesteps, and then verify them in…

Computation and Language · Computer Science 2025-11-06 Yepeng Weng , Qiao Hu , Xujie Chen , Li Liu , Dianwen Mei , Huishi Qiu , Jiang Tian , Zhongchao Shi

Cross validation is a central tool in evaluating the performance of machine learning and statistical models. However, despite its ubiquitous role, its theoretical properties are still not well understood. We study the asymptotic properties…

Statistics Theory · Mathematics 2020-06-30 Morgane Austern , Wenda Zhou

In this paper, we develop an implementation of cross-validation for penalized linear mixed models. While these models have been proposed for correlated high-dimensional data, the current literature implicitly assumes that tuning parameter…

Methodology · Statistics 2025-03-19 Tabitha K. Peter , Patrick J. Breheny

In a regression model, prediction is typically performed after model selection. The large variability in the model selection makes the prediction unstable. Thus, it is essential to reduce the variability in model selection and improve…

Computation · Statistics 2024-04-11 Wataru Yoshida , Kei Hirose

Neural networks achieve strong empirical performance, but robustness concerns still hinder deployment in safety-critical applications. Formal verification provides robustness guarantees, but current methods face a scalability-completeness…

Machine Learning · Computer Science 2026-02-06 Wenting Li , Saif R. Kazi , Russell Bent , Duo Zhou , Huan Zhang

Despite the extensive literature on training loss functions, the evaluation of generalization on the validation set remains underexplored. In this work, we conduct a systematic empirical and statistical study of how the validation criterion…

Machine Learning · Computer Science 2026-02-26 Andrea Apicella , Francesco Isgrò , Andrea Pollastro , Roberto Prevete

Multilabel learning is an important topic in machine learning research. Evaluating models in multilabel settings requires specific cross validation methods designed for multilabel data. In this article, we show that the most widely used…

Machine Learning · Computer Science 2022-04-05 Henri Tiittanen , Liisa Holm , Petri Törönen

Network traffic classification (NTC) is vital for efficient network management, security, and performance optimization, particularly with 5G/6G technologies. Traditional methods, such as deep packet inspection (DPI) and port-based…

Networking and Internet Architecture · Computer Science 2025-09-30 Ehsan Eslami , Walaa Hamouda

Seeding then expanding is a commonly used scheme to discover overlapping communities in a network. Most seeding methods are either too complex to scale to large networks or too simple to select high-quality seeds, and the non-principled…

Social and Information Networks · Computer Science 2015-02-27 Changxing Shang , Shengzhong Feng , Zhongying Zhao , Jianping Fan

We present an efficient method to estimate cross-validation bandwidth parameters for kernel density estimation in very large datasets where ordinary cross-validation is rendered highly inefficient, both statistically and computationally.…

Methodology · Statistics 2016-09-02 Anirban Bhattacharya , Jeffrey D. Hart

In order to develop complex relationships between their inputs and outputs, deep neural networks train and adjust large number of parameters. To make these networks work at high accuracy, vast amounts of data are needed. Sometimes, however,…

Machine Learning · Computer Science 2022-01-19 Joshua Shunk

Network datasets appear across a wide range of scientific fields, including biology, physics, and the social sciences. To enable data-driven discoveries from these networks, statistical inference techniques like estimation and hypothesis…

Methodology · Statistics 2026-02-19 Arpan Kumar , Minh Tang , Srijan Sengupta

Decoding, ie prediction from brain images or signals, calls for empirical evaluation of its predictive power. Such evaluation is achieved via cross-validation, a method also used to tune decoders' hyper-parameters. This paper is a review on…

In this work, we propose a novel cross Q-learning algorithm, aim at alleviating the well-known overestimation problem in value-based reinforcement learning methods, particularly in the deep Q-networks where the overestimation is exaggerated…

Artificial Intelligence · Computer Science 2020-09-30 Xing Wang , Alexander Vinel

There is increasing interest in the use of diagnostic rules based on microarray data. These rules are formed by considering the expression levels of thousands of genes in tissue samples taken on patients of known classification with respect…

Statistics Theory · Mathematics 2008-12-18 G. J. McLachlan , J. Chevelu , J. Zhu