Data-Driven Logistic Regression Ensembles With Applications in Genomics

Fuente: arXiv
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Auteurs principaux: Christidis, Anthony-Alexander, Van Aelst, Stefan, Zamar, Ruben
Format: Preprint
Publié: 2021
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author Christidis, Anthony-Alexander
Van Aelst, Stefan
Zamar, Ruben
author_facet Christidis, Anthony-Alexander
Van Aelst, Stefan
Zamar, Ruben
contents Advances in data collecting technologies in genomics have significantly increased the need for tools designed to study the genetic basis of many diseases. Effective statistical methods should excel in both prediction accuracy and biomarker identification. We introduce a novel approach to high-dimensional binary classification that integrates regularization with ensembling techniques. The method constructs compact ensembles of interpretable models derived by optimizing a global objective function. In medical genomics applications, the proposed approach identifies critical biomarkers overlooked by competing methods. We develop a variable importance ranking system to help researchers prioritize promising genes. The method's asymptotic properties are established, and an efficient computational algorithm is provided. Through extensive simulations across complex scenarios and analysis of cancer genomics datasets, we demonstrate strong predictive performance. Based on the numerical experiments, we offer practical guidelines for determining optimal ensemble size.
format Preprint
id arxiv_https___arxiv_org_abs_2102_08591
institution arXiv
publishDate 2021
record_format arxiv
spellingShingle Data-Driven Logistic Regression Ensembles With Applications in Genomics
Christidis, Anthony-Alexander
Van Aelst, Stefan
Zamar, Ruben
Methodology
Machine Learning
Advances in data collecting technologies in genomics have significantly increased the need for tools designed to study the genetic basis of many diseases. Effective statistical methods should excel in both prediction accuracy and biomarker identification. We introduce a novel approach to high-dimensional binary classification that integrates regularization with ensembling techniques. The method constructs compact ensembles of interpretable models derived by optimizing a global objective function. In medical genomics applications, the proposed approach identifies critical biomarkers overlooked by competing methods. We develop a variable importance ranking system to help researchers prioritize promising genes. The method's asymptotic properties are established, and an efficient computational algorithm is provided. Through extensive simulations across complex scenarios and analysis of cancer genomics datasets, we demonstrate strong predictive performance. Based on the numerical experiments, we offer practical guidelines for determining optimal ensemble size.
title Data-Driven Logistic Regression Ensembles With Applications in Genomics
topic Methodology
Machine Learning
url https://arxiv.org/abs/2102.08591