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Cross-Validation (CV) is the default choice for evaluating the performance of machine learning models. Despite its wide usage, their statistical benefits have remained half-understood, especially in challenging nonparametric regimes. In…

统计理论 · 数学 2024-08-22 Garud Iyengar , Henry Lam , Tianyu Wang

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…

统计方法学 · 统计学 2009-09-17 Patrick O. Perry

As the main workhorse for model selection, Cross Validation (CV) has achieved an empirical success due to its simplicity and intuitiveness. However, despite its ubiquitous role, CV often falls into the following notorious dilemmas. On the…

机器学习 · 计算机科学 2020-12-29 Weikai Li , Chuanxing Geng , Songcan Chen

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

Cross-validation (CV) is a technique for evaluating the ability of statistical models/learning systems based on a given data set. Despite its wide applicability, the rather heavy computational cost can prevent its use as the system size…

机器学习 · 统计学 2016-10-26 Yoshiyuki Kabashima , Tomoyuki Obuchi , Makoto Uemura

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

Cross-validation (CV) methods are popular for selecting the tuning parameter in the high-dimensional variable selection problem. We show the mis-alignment of the CV is one possible reason of its over-selection behavior. To fix this issue,…

统计方法学 · 统计学 2018-01-17 Yang Feng , Yi Yu

Cross-validation is a widely-used technique to estimate prediction error, but its behavior is complex and not fully understood. Ideally, one would like to think that cross-validation estimates the prediction error for the model at hand, fit…

统计方法学 · 统计学 2024-03-12 Stephen Bates , Trevor Hastie , Robert Tibshirani

Cross-validation is one of the most popular model selection methods in statistics and machine learning. Despite its wide applicability, traditional cross validation methods tend to select overfitting models, due to the ignorance of the…

统计方法学 · 统计学 2017-12-25 Jing Lei

Cross-validation (CV) is a widely-used method of predictive assessment based on repeated model fits to different subsets of the available data. CV is applicable in a wide range of statistical settings. However, in cases where data are not…

统计方法学 · 统计学 2025-04-23 Alex Cooper , Aki Vehtari , Catherine Forbes

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 (CV) is widely used for tuning a model with respect to user-selected parameters and for selecting a "best" model. For example, the method of $k$-nearest neighbors requires the user to choose $k$, the number of neighbors,…

应用统计 · 统计学 2012-03-01 Hui Shen , William J. Welch , Jacqueline M. Hughes-Oliver

The growing use of model-selection principles in ecology for statistical inference is underpinned by information criteria (IC) and cross-validation (CV) techniques. Although IC techniques, such as Akaike's Information Criterion, have been…

统计方法学 · 统计学 2022-03-10 Luke Yates , Zach Aandahl , Shane A. Richards , Barry W. Brook

Cross-validation is a popular non-parametric method for evaluating the accuracy of a predictive rule. The usefulness of cross-validation depends on the task we want to employ it for. In this note, I discuss a simple non-parametric setting,…

统计方法学 · 统计学 2019-09-27 Stefan Wager

Bayesian cross-validation (CV) is a popular method for predictive model assessment that is simple to implement and broadly applicable. A wide range of CV schemes is available for time series applications, including generic leave-one-out…

统计方法学 · 统计学 2023-10-12 Alex Cooper , Dan Simpson , Lauren Kennedy , Catherine Forbes , Aki Vehtari

Used to estimate the risk of an estimator or to perform model selection, cross-validation is a widespread strategy because of its simplicity and its apparent universality. Many results exist on the model selection performances of…

统计理论 · 数学 2011-02-01 Sylvain Arlot , Alain Celisse

For linear models that may have asymmetric errors, we study variable selection by cross-validation. The data are split into training and validation sets, with the number of observations in the validation set much larger than in the training…

统计方法学 · 统计学 2026-01-16 Bilel Bousselmi , Gabriela Ciuperca

Cross-validation can be used to measure a model's predictive accuracy for the purpose of model comparison, averaging, or selection. Standard leave-one-out cross-validation (LOO-CV) requires that the observation model can be factorized into…

统计方法学 · 统计学 2021-06-21 Paul-Christian Bürkner , Jonah Gabry , Aki Vehtari

Leave-one-out cross-validation (LOOCV) can be particularly accurate among cross-validation (CV) variants for machine learning assessment tasks -- e.g., assessing methods' error or variability. But it is expensive to re-fit a model $N$ times…

机器学习 · 统计学 2020-06-24 William T. Stephenson , Tamara Broderick

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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