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Related papers: Cross Validation Based Model Selection via General…

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Cross-validation (CV) is one of the most widely used techniques in statistical learning for estimating the test error of a model, but its behavior is not yet fully understood. It has been shown that standard confidence intervals for test…

Methodology · Statistics 2023-10-10 Min Woo Sun , Robert Tibshirani

Cross-validation is a widely used technique for evaluating the performance of prediction models, ranging from simple binary classification to complex precision medicine strategies. It helps correct for optimism bias in error estimates,…

In the network literature, a wide range of statistical models has been proposed to exploit structural patterns in the data. Therefore, model selection between different models is a fundamental problem. However, there remains a lack of…

Methodology · Statistics 2025-08-05 Bokai Yang , Yuanxing Chen , Yuhong Yang

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…

Methodology · Statistics 2023-10-12 Alex Cooper , Dan Simpson , Lauren Kennedy , Catherine Forbes , Aki Vehtari

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…

Methodology · Statistics 2024-12-16 Dalei Yu , Xinyu Zhang , Hua Liang

In the last few decades, the study of ordinal data in which the variable of interest is not exactly observed but only known to be in a specific ordinal category has become important. In Psychometrics such variables are analysed under the…

Econometrics · Economics 2025-01-22 Bernard M. S. van Praag , J. Peter Hop , William H. Greene

Ensemble methods such as bagging and random forests are ubiquitous in various fields, from finance to genomics. Despite their prevalence, the question of the efficient tuning of ensemble parameters has received relatively little attention.…

Methodology · Statistics 2023-12-19 Jin-Hong Du , Pratik Patil , Kathryn Roeder , Arun Kumar Kuchibhotla

Brute force cross-validation (CV) is a method for predictive assessment and model selection that is general and applicable to a wide range of Bayesian models. Naive or `brute force' CV approaches are often too computationally costly for…

Methodology · Statistics 2024-01-17 Alex Cooper , Aki Vehtari , Catherine Forbes , Lauren Kennedy , Dan Simpson

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…

Methodology · Statistics 2018-02-01 Siliang Gong , Kai Zhang , Yufeng Liu

A popular technique for selecting and tuning machine learning estimators is cross-validation. Cross-validation evaluates overall model fit, usually in terms of predictive accuracy. In causal inference, the optimal choice of estimator…

Methodology · Statistics 2021-07-07 Dominik Rothenhäusler

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

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.…

Computation · Statistics 2025-08-08 David Kepplinger , Siqi Wei

There has been a growing excitement that implicit graph generative models could be used to design or discover new molecules for medicine or material design. Because these molecules have not been discovered, they naturally lie in unexplored…

Machine Learning · Computer Science 2024-11-21 Mai Elkady , Thu Bui , Bruno Ribeiro , David I. Inouye

In this paper, we study the problem of learning multi-dimensional Gaussian Mixture Models (GMMs), with a specific focus on model order selection and efficient mixing distribution estimation. We first establish an information-theoretic lower…

Machine Learning · Statistics 2026-03-23 Xinyu Liu , Hai Zhang

Evaluating the predictive performance of species distribution models (SDMs) under realistic deployment scenarios requires careful handling of spatial and temporal dependencies in the data. Cross-validation (CV) is the standard approach for…

Applications · Statistics 2025-12-22 Diana Koldasbayeva , Alexey Zaytsev

Standard techniques such as leave-one-out cross-validation (LOOCV) might not be suitable for evaluating the predictive performance of models incorporating structured random effects. In such cases, the correlation between the training and…

Methodology · Statistics 2024-06-21 A. Adin , E. Krainski , A. Lenzi , Z. Liu , J. Martínez-Minaya , H. Rue

In machine learning one often assumes the data are independent when evaluating model performance. However, this rarely holds in practise. Geographic information data sets are an example where the data points have stronger dependencies among…

Applications · Statistics 2020-06-01 Jonne Pohjankukka , Tapio Pahikkala , Paavo Nevalainen , Jukka Heikkonen

Cross-validation is a standard tool for obtaining a honest assessment of the performance of a prediction model. The commonly used version repeatedly splits data, trains the prediction model on the training set, evaluates the model…

Machine Learning · Statistics 2025-10-10 Tianyu Pan , Vincent Z. Yu , Viswanath Devanarayan , Lu Tian

The problem of validating or criticising models for georeferenced data is challenging, since the conclusions can vary significantly depending on the locations of the validation set. This work proposes the use of cross-validation techniques…

Computation · Statistics 2018-02-19 Viviana G R Lobo , Thaís C O da Fonseca , Fernando A S Moura

Enhanced sampling simulations make the computational study of rare events feasible. A large family of such methods crucially depends on the definition of some collective variables (CVs) that could provide a low-dimensional representation of…

Computational Physics · Physics 2026-03-03 Jintu Zhang , Luigi Bonati , Enrico Trizio , Odin Zhang , Yu Kang , TingJun Hou , Michele Parrinello