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相关论文: An Empirical Comparison of V-fold Penalisation and…

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We study the efficiency of V-fold cross-validation (VFCV) for model selection from the non-asymptotic viewpoint, and suggest an improvement on it, which we call ``V-fold penalization''. Considering a particular (though simple) regression…

统计理论 · 数学 2008-02-07 Sylvain Arlot

Robust estimators for linear regression require non-convex objective functions to shield against adverse affects of outliers. This non-convexity brings challenges, particularly when combined with penalization in high-dimensional settings.…

统计计算 · 统计学 2025-08-08 David Kepplinger , Siqi Wei

As a technique that can compactly represent complex patterns, machine learning has significant potential for predictive inference. K-fold cross-validation (CV) is the most common approach to ascertaining the likelihood that a machine…

机器学习 · 统计学 2026-04-24 Juan M Gorriz , R. Martin Clemente , F Segovia , J Ramirez , A Ortiz , J. Suckling

This paper studies V-fold cross-validation for model selection in least-squares density estimation. The goal is to provide theoretical grounds for choosing V in order to minimize the least-squares loss of the selected estimator. We first…

统计理论 · 数学 2015-10-13 Sylvain Arlot , Matthieu Lerasle

We investigate the optimality for model selection of the so-called slope heuristics, $V$-fold cross-validation and $V$-fold penalization in a heteroscedastic with random design regression context. We consider a new class of linear models…

统计理论 · 数学 2023-03-08 Fabien Navarro , Adrien Saumard

K-fold cross validation (CV) is a popular method for estimating the true performance of machine learning models, allowing model selection and parameter tuning. However, the very process of CV requires random partitioning of the data and so…

计算与语言 · 计算机科学 2018-06-20 Henry B. Moss , David S. Leslie , Paul Rayson

Cross validation is commonly used for selecting tuning parameters in penalized regression, but its use in penalized Cox regression models has received relatively little attention in the literature. Due to its partial likelihood…

统计方法学 · 统计学 2026-05-13 Biyue Dai , Patrick Breheny

Common cross-validation (CV) methods like k-fold cross-validation or Monte-Carlo cross-validation estimate the predictive performance of a learner by repeatedly training it on a large portion of the given data and testing on the remaining…

机器学习 · 计算机科学 2021-11-30 Felix Mohr , Jan N. van Rijn

In this paper, for Lasso penalized linear regression models in high-dimensional settings, we propose a modified cross-validation method for selecting the penalty parameter. The methodology is extended to other penalties, such as Elastic…

统计方法学 · 统计学 2013-09-10 Yi Yu , Yang Feng

Mutation validation (MV) is a recently proposed approach for model selection, garnering significant interest due to its unique characteristics and potential benefits compared to the widely used cross-validation (CV) method. In this study,…

机器学习 · 计算机科学 2024-07-25 Jinyang Yu , Sami Hamdan , Leonard Sasse , Abigail Morrison , Kaustubh R. Patil

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…

机器学习 · 统计学 2015-07-02 Pooria Joulani , András György , Csaba Szepesvári

Effective data partitioning is known to be crucial in machine learning. Traditional cross-validation methods like K-Fold Cross-Validation (KFCV) enhance model robustness but often compromise generalisation assessment due to high…

机器学习 · 计算机科学 2025-08-05 Christopher Godwin Udomboso , Caston Sigauke , Ini Adinya

We present a new family of model selection algorithms based on the resampling heuristics. It can be used in several frameworks, do not require any knowledge about the unknown law of the data, and may be seen as a generalization of local…

统计理论 · 数学 2007-06-13 Sylvain Arlot

Covariance regression offers an effective way to model the large covariance matrix with the auxiliary similarity matrices. In this work, we propose a sparse covariance regression (SCR) approach to handle the potentially high-dimensional…

统计方法学 · 统计学 2024-10-17 Yuan Gao , Zhiyuan Zhang , Zhanrui Cai , Xuening Zhu , Tao Zou , Hansheng Wang

We consider the problem of choosing between several models in least-squares regression with heteroscedastic data. We prove that any penalization procedure is suboptimal when the penalty is a function of the dimension of the model, at least…

统计理论 · 数学 2010-07-28 Sylvain Arlot

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…

统计方法学 · 统计学 2025-03-19 Tabitha K. Peter , Patrick J. Breheny

The problems of model and variable selections for classification trees are jointly considered. A penalized criterion is proposed which explicitly takes into account the number of variables, and a risk bound inequality is provided for the…

统计理论 · 数学 2012-06-27 Servane Gey , Tristan Mary-Huard

Cross validation is widely used for selecting tuning parameters in regularization methods, but it is computationally intensive in general. To lessen its computational burden, approximation schemes such as generalized approximate cross…

统计方法学 · 统计学 2024-12-02 Shanshan Tu , Yunzhang Zhu , Yoonkyung Lee , Qiuyu Gu , Haozhen Yu

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.…

机器学习 · 统计学 2020-06-12 Ashia Wilson , Maximilian Kasy , Lester Mackey

Many modern data analyses benefit from explicitly modeling dependence structure in data -- such as measurements across time or space, ordered words in a sentence, or genes in a genome. A gold standard evaluation technique is structured…

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