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We conduct a non asymptotic study of the Cross Validation (CV) estimate of the generalization risk for learning algorithms dedicated to extreme regions of the covariates space. In this Extreme Value Analysis context, the risk function…

Statistics Theory · Mathematics 2024-09-12 Anass Aghbalou , Patrice Bertail , François Portier , Anne Sabourin

Many versions of cross-validation (CV) exist in the literature; and each version though has different variants. All are used interchangeably by many practitioners; yet, without explanation to the connection or difference among them. This…

Machine Learning · Statistics 2022-05-31 Waleed A. Yousef

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…

Machine Learning · Computer Science 2020-12-29 Weikai Li , Chuanxing Geng , Songcan Chen

K-fold cross-validation is a widely used tool for assessing classifier performance. The reproducibility crisis faced by artificial intelligence partly results from the irreproducibility of reported k-fold cross-validation-based performance…

Machine Learning · Computer Science 2024-01-26 Attila Fazekas , Gyorgy Kovacs

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…

Methodology · Statistics 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…

Methodology · Statistics 2026-01-16 Bilel Bousselmi , Gabriela Ciuperca

Group number selection is a key problem for group panel data modeling. In this work, we develop a cross-validation (CV) method to tackle this problem. Specifically, we split the panel data into two data folds on the time span, with group…

Methodology · Statistics 2025-05-19 Zhe Li , Xuening Zhu , Changliang Zou

Choosing an appropriate strategy for partitioning data into training and evaluation sets is a critical step in machine learning, yet validation methods are often selected using default or conventional settings without considering their…

Machine Learning · Computer Science 2026-01-05 Zahra Bami , Ali Behnampour , Aniruddha Bora , Hassan Doosti

Venn Prediction (VP) is a new machine learning framework for producing well-calibrated probabilistic predictions. In particular it provides well-calibrated lower and upper bounds for the conditional probability of an example belonging to…

Machine Learning · Computer Science 2023-12-18 Harris Papadopoulos

This work develops central limit theorems for cross-validation and consistent estimators of its asymptotic variance under weak stability conditions on the learning algorithm. Together, these results provide practical, asymptotically-exact…

Machine Learning · Statistics 2020-11-03 Pierre Bayle , Alexandre Bayle , Lucas Janson , Lester Mackey

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…

Methodology · Statistics 2022-03-10 Luke Yates , Zach Aandahl , Shane A. Richards , Barry W. Brook

Randomized artificial neural networks such as extreme learning machines provide an attractive and efficient method for supervised learning under limited computing ressources and green machine learning. This especially applies when equipping…

Machine Learning · Statistics 2022-01-02 Ansgar Steland , Bart E. Pieters

Structural estimation is an important methodology in empirical economics, and a large class of structural models are estimated through the generalized method of moments (GMM). Traditionally, selection of structural models has been performed…

Econometrics · Economics 2018-07-19 Junpei Komiyama , Hajime Shimao

We study the mean-squared error of $k$-fold cross-validation as a risk estimator, with particular emphasis on how its accuracy depends on the number of folds $k$. Despite the widespread use of cross-validation, principled guidance for…

Statistics Theory · Mathematics 2026-05-26 Ido Nachum , Rüdiger Urbanke , Thomas Weinberger

Neural networks are among the most powerful nonlinear models used to address supervised learning problems. Similar to most machine learning algorithms, neural networks produce point predictions and do not provide any prediction interval…

Machine Learning · Statistics 2020-07-01 Saeed Khaki , Dan Nettleton

Generalized additive partial linear models (GAPLMs) are appealing for model interpretation and prediction. However, for GAPLMs, the covariates and the degree of smoothing in the nonparametric parts are often difficult to determine in…

Methodology · Statistics 2022-12-06 Ze Chen , Jun Liao , Wangli Xu , Yuhong Yang

We investigate generically applicable and intuitively appealing prediction intervals based on $k$-fold cross validation. We focus on the conditional coverage probability of the proposed intervals, given the observations in the training…

Statistics Theory · Mathematics 2022-05-13 Lukas Steinberger , Hannes Leeb

The Maximum Likelihood (ML) and Cross Validation (CV) methods for estimating covariance hyper-parameters are compared, in the context of Kriging with a misspecified covariance structure. A two-step approach is used. First, the case of the…

Statistics Theory · Mathematics 2013-06-03 François Bachoc

The detection of cardiovascular diseases (CVD) using machine learning techniques represents a significant advancement in medical diagnostics, aiming to enhance early detection, accuracy, and efficiency. This study explores a comparative…

Machine Learning · Computer Science 2024-05-28 Dayana K , S. Nandini , Sanjjushri Varshini R

Modern data analysis and statistical learning are marked by complex data structures and black-box algorithms. Data complexity stems from technologies such as imaging, remote sensing, wearable devices, and genomic sequencing. At the same…

Statistics Theory · Mathematics 2025-10-30 Jing Lei