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State-of-the-art automated machine learning systems for tabular data often employ cross-validation; ensuring that measured performances generalize to unseen data, or that subsequent ensembling does not overfit. However, using k-fold…

Machine Learning · Computer Science 2024-08-05 Edward Bergman , Lennart Purucker , Frank Hutter

One of the common goals of time series analysis is to use the observed series to inform predictions for future observations. In the absence of any actual new data to predict, cross-validation can be used to estimate a model's future…

Methodology · Statistics 2020-07-02 Paul-Christian Bürkner , Jonah Gabry , Aki Vehtari

Factor analysis is over a century old, but it is still problematic to choose the number of factors for a given data set. The scree test is popular but subjective. The best performing objective methods are recommended on the basis of…

Methodology · Statistics 2015-11-12 A. B. Owen , J. Wang

When evaluating and comparing models using leave-one-out cross-validation (LOO-CV), the uncertainty of the estimate is typically assessed using the variance of the sampling distribution. Considering the uncertainty is important, as the…

Methodology · Statistics 2022-02-16 Tuomas Sivula , Måns Magnusson , Aki Vehtari

In Bayesian statistics, the marginal likelihood, also known as the evidence, is used to evaluate model fit as it quantifies the joint probability of the data under the prior. In contrast, non-Bayesian models are typically compared using…

Methodology · Statistics 2019-09-24 Edwin Fong , Chris Holmes

Support vector machine (SVM) is a well-known statistical technique for classification problems in machine learning and other fields. An important question for SVM is the selection of covariates (or features) for the model. Many studies have…

Methodology · Statistics 2022-02-22 Jiahui Zou , Chaoxia Yuan , Xinyu Zhang , Guohua Zou , Alan T. K. Wan

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

The estimated accuracy of a classifier is a random quantity with variability. A common practice in supervised machine learning, is thus to test if the estimated accuracy is significantly better than chance level. This method of signal…

Methodology · Statistics 2020-01-28 Jonathan D. Rosenblatt , Yuval Benjamini , Roee Gilron , Roy Mukamel , Jelle J. Goeman

We develop a theoretical framework for sample splitting in A/B testing environments, where data for each test are partitioned into two splits to measure methodological performance when the true impacts of tests are unobserved. We show that…

Econometrics · Economics 2026-03-24 Ryan Kessler , James McQueen , Miikka Rokkanen

Cross-validation under sample selection bias can, in principle, be done by importance-weighting the empirical risk. However, the importance-weighted risk estimator produces sub-optimal hyperparameter estimates in problem settings where…

Machine Learning · Computer Science 2019-08-28 Wouter M. Kouw , Jesse H. Krijthe , Marco Loog

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…

Machine Learning · Statistics 2020-12-02 Soumya Ghosh , William T. Stephenson , Tin D. Nguyen , Sameer K. Deshpande , Tamara Broderick

Even though a train/test split of the dataset randomly performed is a common practice, could not always be the best approach for estimating performance generalization under some scenarios. The fact is that the usual machine learning…

Machine Learning · Computer Science 2022-09-09 Carlos Catania , Jorge Guerra , Juan Manuel Romero , Gabriel Caffaratti , Martin Marchetta

Leave-one-out cross-validation (LOO-CV) is a popular method for estimating out-of-sample predictive accuracy. However, computing LOO-CV criteria can be computationally expensive due to the need to fit the model multiple times. In the…

Computation · Statistics 2023-09-28 Luca Silva , Giacomo Zanella

In this study we illustrate a statistical approach to questioned document examination. Specifically, we consider the construction of three classifiers that predict the writer of a sample document based on categorical data. To evaluate these…

In this research we propose a new method for training predictive machine learning models for prescriptive applications. This approach, which we refer to as coupled validation, is based on tweaking the validation step in the standard…

Machine Learning · Computer Science 2021-10-25 Ebrahim Mortaz , Alexander Vinel

Many varieties of cross validation would be statistically appealing for the estimation of smoothing and other penalized regression hyperparameters, were it not for the high cost of evaluating such criteria. Here it is shown how to…

Methodology · Statistics 2025-11-06 Simon N. Wood

Evaluating models fit to data with internal spatial structure requires specific cross-validation (CV) approaches, because randomly selecting assessment data may produce assessment sets that are not truly independent of data used to train…

Computation · Statistics 2023-03-14 Michael J Mahoney , Lucas K Johnson , Julia Silge , Hannah Frick , Max Kuhn , Colin M Beier

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

In educational technology and learning sciences, there are multiple uses for a predictive model of whether a student will perform a task correctly or not. For example, an intelligent tutoring system may use such a model to estimate whether…

Artificial Intelligence · Computer Science 2015-01-13 April Galyardt , Ilya Goldin

Penalized logistic regression methods are frequently used to investigate the relationship between a binary outcome and a set of explanatory variables. The model performance can be assessed by measures such as the concordance statistic…

Methodology · Statistics 2021-01-20 Angelika Geroldinger , Lara Lusa , Mariana Nold , Georg Heinze