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Model selection in mixed models based on the conditional distribution is appropriate for many practical applications and has been a focus of recent statistical research. In this paper we introduce the R-package cAIC4 that allows for the…

Computation · Statistics 2018-03-20 Benjamin Säfken , David Rügamer , Thomas Kneib , Sonja Greven

Many machine learning algorithms require precise estimates of covariance matrices. The sample covariance matrix performs poorly in high-dimensional settings, which has stimulated the development of alternative methods, the majority based on…

Machine Learning · Statistics 2016-11-04 Daniel Bartz

The Schwarz or Bayesian information criterion (BIC) is one of the most widely used tools for model comparison in social science research. The BIC however is not suitable for evaluating models with order constraints on the parameters of…

Methodology · Statistics 2019-05-01 Joris Mulder , Adrian E. Raftery

This paper describes a method for performing inference on models chosen by cross-validation. When the test error being minimized in cross-validation is a residual sum of squares it can be written as a quadratic form. This allows us to apply…

Methodology · Statistics 2015-12-01 Joshua R. Loftus

Confusion matrices and derived metrics provide a comprehensive framework for the evaluation of model performance in machine learning. These are well-known and extensively employed in the supervised learning domain, particularly…

Machine Learning · Computer Science 2023-04-05 Pablo Andretta Jaskowiak , Ivan Gesteira Costa

Computer vision (CV) is a big and important field in artificial intelligence covering a wide range of applications. Image analysis is a major task in CV aiming to extract, analyse and understand the visual content of images. However,…

Neural and Evolutionary Computing · Computer Science 2022-12-05 Ying Bi , Bing Xue , Pablo Mesejo , Stefano Cagnoni , Mengjie Zhang

Comparison of competing statistical models is an essential part of psychological research. From a Bayesian perspective, various approaches to model comparison and selection have been proposed in the literature. However, the applicability of…

Applications · Statistics 2020-05-28 Riko Kelter

Models like LASSO and ridge regression are extensively used in practice due to their interpretability, ease of use, and strong theoretical guarantees. Cross-validation (CV) is widely used for hyperparameter tuning in these models, but do…

Machine Learning · Statistics 2022-11-03 William T. Stephenson , Zachary Frangella , Madeleine Udell , Tamara Broderick

Traditionally, machine learning-based clinical prediction models have been trained and evaluated on patient data from a single source, such as a hospital. Cross-validation methods can be used to estimate the accuracy of such models on new…

Machine Learning · Computer Science 2024-10-24 Tuija Leinonen , David Wong , Antti Vasankari , Ali Wahab , Ramesh Nadarajah , Matti Kaisti , Antti Airola

Model-based clustering is a popular approach for clustering multivariate data which has seen applications in numerous fields. Nowadays, high-dimensional data are more and more common and the model-based clustering approach has adapted to…

Methodology · Statistics 2018-09-25 Michael Fop , Thomas Brendan Murphy

In the information-based paradigm of inference, model selection is performed by selecting the candidate model with the best estimated predictive performance. The success of this approach depends on the accuracy of the estimate of the…

Machine Learning · Statistics 2018-06-11 Colin H. LaMont , Paul A. Wiggins

Cross-validation is the standard approach for tuning parameter selection in many non-parametric regression problems. However its use is less common in change-point regression, perhaps as its prediction error-based criterion may appear to…

Methodology · Statistics 2024-02-13 Florian Pein , Rajen D. Shah

We have recently proposed a new information-based approach to model selection, the Frequentist Information Criterion (FIC), that reconciles information-based and frequentist inference. The purpose of this current paper is to provide a…

Data Analysis, Statistics and Probability · Physics 2015-06-23 Paul A. Wiggins

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

Model selection is a ubiquitous problem that arises in the application of many statistical and machine learning methods. In the likelihood and related settings, it is typical to use the method of information criteria (IC) to choose the most…

Statistics Theory · Mathematics 2024-08-13 Hien Duy Nguyen

Motivated by the results of recent laboratory experiments (Yoshida et al. Nature, 424, 303-306 (2003)) as well as many earlier field observations that evolutionary changes can take place in ecosystems over relatively short ecological time…

Populations and Evolution · Quantitative Biology 2007-05-23 Debashish Chowdhury , Dietrich Stauffer

Large differences between the properties of the known sample of cataclysmic variable stars (CVs) and the predictions of the theory of binary star evolution have long been recognised. However, because all existing CV samples suffer from…

Astrophysics · Physics 2008-11-26 Magaretha L. Pretorius , Christian Knigge , Ulrich Kolb

This paper describes a generalizable model evaluation method that can be adapted to evaluate AI/ML models across multiple criteria including core scientific principles and more practical outcomes. Emerging from prediction competitions in…

Machine Learning · Computer Science 2024-03-19 Jason L. Harman , Jaelle Scheuerman

Large differences between the properties of the known sample of cataclysmic variable stars (CVs) and the predictions of the theory of binary star evolution have long been recognised. However, because all existing CV samples suffer from…

Astrophysics · Physics 2008-11-26 Magaretha L. Pretorius , Christian Knigge , Ulrich Kolb

Despite ongoing theoretical research on cross-validation (CV), many theoretical questions remain widely open. This motivates our investigation into how properties of algorithm-distribution pairs can affect the choice for the number of folds…

Statistics Theory · Mathematics 2026-01-09 Ido Nachum , Rüdiger Urbanke , Thomas Weinberger