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Feature selection and reducing the dimensionality of data is an essential step in data analysis. In this work, we propose a new criterion for feature selection that is formulated as conditional information between features given the labeled…

Machine Learning · Statistics 2019-05-20 Salimeh Yasaei Sekeh , Alfred O. Hero

Limited by cognitive abilities, decision-makers (DMs) may struggle to evaluate decision alternatives based on all criteria in multiple criteria decision-making problems. This paper proposes an embedded criteria selection method derived from…

Optimization and Control · Mathematics 2025-06-10 Kun Zhou , Zaiwu Gong , Guo Wei , Roman Slowinski

Model-based component-wise gradient boosting is a popular tool for data-driven variable selection. In order to improve its prediction and selection qualities even further, several modifications of the original algorithm have been developed,…

Methodology · Statistics 2023-02-28 Sophie Potts , Elisabeth Bergherr , Constantin Reinke , Colin Griesbach

Cross-validation is one of the most popular model selection methods in statistics and machine learning. Despite its wide applicability, traditional cross validation methods tend to select overfitting models, due to the ignorance of the…

Methodology · Statistics 2017-12-25 Jing Lei

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

Covariate shifts are a common problem in predictive modeling on real-world problems. This paper proposes addressing the covariate shift problem by minimizing Maximum Mean Discrepancy (MMD) statistics between the training and test sets in…

Machine Learning · Computer Science 2022-03-03 Liwen Ouyang , Aaron Key

This paper compares three approaches to the problem of selecting among probability models to fit data (1) use of statistical criteria such as Akaike's information criterion and Schwarz's "Bayesian information criterion," (2) maximization of…

Methodology · Statistics 2016-11-04 William B. Poland , Ross D. Shachter

The paper considers variable selection in linear regression models where the number of covariates is possibly much larger than the number of observations. High dimensionality of the data brings in many complications, such as (possibly…

Methodology · Statistics 2016-11-29 Haeran Cho , Piotr Fryzlewicz

Standard approaches for variable selection in linear models are not tailored to deal properly with high-dimensional and incomplete data. Currently, methods dedicated to high-dimensional data handle missing values by ad-hoc strategies, like…

Methodology · Statistics 2021-06-09 Avner Bar-Hen , Vincent Audigier

This paper considers the problem of variable selection in regression models in the case of functional variables that may be mixed with other type of variables (scalar, multivariate, directional, etc.). Our proposal begins with a simple null…

When the data do not conform to the hypothesis of a known sampling-variance, the fitting of a constant to a set of measured values is a long debated problem. Given the data, fitting would require to find what measurand value is the most…

Data Analysis, Statistics and Probability · Physics 2020-07-21 Giovanni Mana , Enrico Massa , Maria Predescu

We investigate the problem of jointly testing a pair of composite hypotheses and, depending on the test result, estimating a random parameter under distributional uncertainties. Specifically, it is assumed that the distribution of the data…

Signal Processing · Electrical Eng. & Systems 2026-04-27 Dominik Reinhard , Michael Fauß , Abdelhak M. Zoubir

Data from spectrophotometers form vectors of a large number of exploitable variables. Building quantitative models using these variables most often requires using a smaller set of variables than the initial one. Indeed, a too large number…

Machine Learning · Computer Science 2007-09-26 Fabrice Rossi , Amaury Lendasse , Damien François , Vincent Wertz , Michel Verleysen

As data sets continue to grow in size and complexity, effective and efficient techniques are needed to target important features in the variable space. Many of the variable selection techniques that are commonly used alongside clustering…

Computation · Statistics 2013-03-22 Jeffrey L. Andrews , Paul D. McNicholas

Multiple imputation provides an effective way to handle missing data. When several possible models are under consideration for the data, the multiple imputation is typically performed under a single-best model selected from the candidate…

Methodology · Statistics 2018-11-30 Gyuhyeong Goh , Jae Kwang Kim

Fitting models to data is an important part of the practice of science. Advances in machine learning have made it possible to fit more -- and more complex -- models, but have also exacerbated a problem: when multiple models fit the data…

Methodology · Statistics 2025-10-27 Alexandre René , André Longtin

Model selection strategies have been routinely employed to determine a model for data analysis in statistics, and further study and inference then often proceed as though the selected model were the true model that were known a priori. This…

Methodology · Statistics 2018-02-13 Priyam Mitra , Heng Lian , Ritwik Mitra , Hua Liang , Min-ge Xie

Subset selection in multiple linear regression aims to choose a subset of candidate explanatory variables that tradeoff fitting error (explanatory power) and model complexity (number of variables selected). We build mathematical programming…

Machine Learning · Statistics 2020-09-04 Young Woong Park , Diego Klabjan

Linear mixed effects models (LMMs) are a popular and powerful tool for analyzing clustered or repeated observations for numeric outcomes. LMMs consist of a fixed and a random component, specified in the model through their respective design…

Statistics Theory · Mathematics 2019-12-10 Rok Blagus , Jakob Peterlin , Nataša Kejžar

Statistical inference is considered for variables of interest, called primary variables, when auxiliary variables are observed along with the primary variables. We consider the setting of incomplete data analysis, where some primary…

Methodology · Statistics 2019-03-27 Shinpei Imori , Hidetoshi Shimodaira