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Performance estimation aims at estimating the loss that a predictive model will incur on unseen data. These procedures are part of the pipeline in every machine learning project and are used for assessing the overall generalisation ability…

Machine Learning · Computer Science 2021-08-31 Vitor Cerqueira , Luis Torgo , Igor Mozetic

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

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

In the present paper, we prove a new theorem, resulting in an update formula for linear regression model residuals calculating the exact k-fold cross-validation residuals for any choice of cross-validation strategy without model refitting.…

Methodology · Statistics 2024-02-09 Kristian Hovde Liland , Joakim Skogholt , Ulf Geir Indahl

Gaussian process (GP) models are widely used to analyze spatially referenced data and to predict values at locations without observations. In contrast to many algorithmic procedures, GP models are based on a statistical framework, which…

Computation · Statistics 2020-01-01 Florian Gerber , Douglas W. Nychka

Cross-validation (CV) is routinely used across the sciences to select models and tune parameters, and the resulting choices are often interpreted as substantive scientific conclusions (e.g., which variables, mechanisms, or risk factors are…

Methodology · Statistics 2026-02-03 Kenichiro McAlinn , Kōsaku Takanashi

Generalized cross-validation (GCV) is a widely-used method for estimating the squared out-of-sample prediction risk that employs a scalar degrees of freedom adjustment (in a multiplicative sense) to the squared training error. In this…

Statistics Theory · Mathematics 2024-04-23 Pierre C. Bellec , Jin-Hong Du , Takuya Koriyama , Pratik Patil , Kai Tan

Probabilistic regression models typically use the Maximum Likelihood Estimation or Cross-Validation to fit parameters. These methods can give an advantage to the solutions that fit observations on average, but they do not pay attention to…

Applications · Statistics 2022-05-24 Naoufal Acharki , Antoine Bertoncello , Josselin Garnier

This paper introduces e-fold cross-validation, an energy-efficient alternative to k-fold cross-validation. It dynamically adjusts the number of folds based on a stopping criterion. The criterion checks after each fold whether the standard…

Machine Learning · Computer Science 2024-10-29 Christopher Mahlich , Tobias Vente , Joeran Beel

Cross-validation (CV) is a technique used to estimate generalization error for prediction models. For pipeline modeling algorithms (i.e. modeling procedures with multiple steps), it has been recommended the entire sequence of steps be…

Machine Learning · Statistics 2020-10-05 Byron C. Jaeger , Nicholas J. Tierney , Noah R. Simon

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…

Statistics Theory · Mathematics 2008-12-18 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

In many applications, we have access to the complete dataset but are only interested in the prediction of a particular region of predictor variables. A standard approach is to find the globally best modeling method from a set of candidate…

Machine Learning · Statistics 2022-02-21 Jiawei Zhang , Jie Ding , Yuhong Yang

Model comparison is the cornerstone of theoretical progress in psychological research. Common practice overwhelmingly relies on tools that evaluate competing models by balancing in-sample descriptive adequacy against model flexibility, with…

Applications · Statistics 2021-10-11 Viet-Hung Dao , David Gunawan , Minh-Ngoc Tran , Robert Kohn , Guy E. Hawkins , Scott D. Brown

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

We consider prediction in multiple studies with potential differences in the relationships between predictors and outcomes. Our objective is to integrate data from multiple studies to develop prediction models for unseen studies. We propose…

Methodology · Statistics 2024-07-23 Boyu Ren , Prasad Patil , Francesca Dominici , Giovanni Parmigiani , Lorenzo Trippa

Statistical machine learning models should be evaluated and validated before putting to work. Conventional k-fold Monte Carlo Cross-Validation (MCCV) procedure uses a pseudo-random sequence to partition instances into k subsets, which…

Machine Learning · Statistics 2019-07-05 Liang Guo , Jianya Liu , Ruodan Lu

Model selection is a crucial issue in machine-learning and a wide variety of penalisation methods (with possibly data dependent complexity penalties) have recently been introduced for this purpose. However their empirical performance is…

Machine Learning · Statistics 2012-12-11 Charanpal Dhanjal , Nicolas Baskiotis , Stéphan Clémençon , Nicolas Usunier

Variable selection can be performed by testing conditional independence (CI) between each predictor and the response, given the other predictors. A doubly robust and powerful option for these CI tests is the projected covariance measure…

Methodology · Statistics 2025-11-10 Abhinav Chakraborty , Jeffrey Zhang , Eugene Katsevich

Cross-validation is the workhorse of modern applied statistics and machine learning, as it provides a principled framework for selecting the model that maximizes generalization performance. In this paper, we show that the cross-validation…

Machine Learning · Statistics 2018-05-21 Shane Barratt , Rishi Sharma