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Reliable estimation of predictive performance is essential for spatial environmental modeling, where machine-learning models are used to generate maps from unevenly distributed observations. Standard cross-validation (CV) assumes that…

机器学习 · 计算机科学 2026-05-22 Alexander Brenning , Thomas Suesse

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

We present a methodology for model evaluation and selection where the sampling mechanism violates the i.i.d. assumption. Our methodology involves a formulation of the bias between the standard Cross-Validation (CV) estimator and the mean…

统计方法学 · 统计学 2025-03-14 Oren Yuval , Saharon Rosset

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

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) 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

Cross-validation (CV) is a common method to tune machine learning methods and can be used for model selection in regression as well. Because of the structured nature of small, traditional experimental designs, the literature has warned…

应用统计 · 统计学 2025-06-18 Maria L. Weese , Byran J. Smucker , David J. Edwards

Cross-validation is a common method for estimating the predictive performance of machine learning models. In a data-scarce regime, where one typically wishes to maximize the number of instances used for training the model, an approach…

统计方法学 · 统计学 2025-03-25 George I. Austin , Itsik Pe'er , Tal Korem

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 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

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

Studying unified model averaging estimation for situations with complicated data structures, we propose a novel model averaging method based on cross-validation (MACV). MACV unifies a large class of new and existing model averaging…

统计方法学 · 统计学 2024-12-16 Dalei Yu , Xinyu Zhang , Hua Liang

Variable selection plays a fundamental role in high-dimensional data analysis. Various methods have been developed for variable selection in recent years. Well-known examples are forward stepwise regression (FSR) and least angle regression…

统计方法学 · 统计学 2018-02-01 Siliang Gong , Kai Zhang , Yufeng Liu

Theoretical developments on cross validation (CV) have mainly focused on selecting one among a list of finite-dimensional models (e.g., subset or order selection in linear regression) or selecting a smoothing parameter (e.g., bandwidth for…

统计理论 · 数学 2008-12-18 Yuhong Yang

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

This paper presents the first general (supervised) statistical learning framework for point processes in general spaces. Our approach is based on the combination of two new concepts, which we define in the paper: i) bivariate innovations,…

统计方法学 · 统计学 2021-03-03 Ottmar Cronie , Mehdi Moradi , Christophe A. N. Biscio

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

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

Hyperparameter tuning plays a crucial role in optimizing the performance of predictive learners. Cross--validation (CV) is a widely adopted technique for estimating the error of different hyperparameter settings. Repeated cross-validation…

机器学习 · 计算机科学 2023-08-01 Giovanni Maria Merola
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