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Sparse classification with paired covariates

Published version
Peer-reviewed

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Authors

Rauschenberger, Armin 
Ciocănea-Teodorescu, Iuliana 
Menezes, Renée X 
van de Wiel, Mark A  ORCID logo  https://orcid.org/0000-0003-4780-8472

Abstract

jats:titleAbstract</jats:title>jats:pThis paper introduces the paired lasso: a generalisation of the lasso for paired covariate settings. Our aim is to predict a single response from two high-dimensional covariate sets. We assume a one-to-one correspondence between the covariate sets, with each covariate in one set forming a pair with a covariate in the other set. Paired covariates arise, for example, when two transformations of the same data are available. It is often unknown which of the two covariate sets leads to better predictions, or whether the two covariate sets complement each other. The paired lasso addresses this problem by weighting the covariates to improve the selection from the covariate sets and the covariate pairs. It thereby combines information from both covariate sets and accounts for the paired structure. We tested the paired lasso on more than 2000 classification problems with experimental genomics data, and found that for estimating sparse but predictive models, the paired lasso outperforms the standard and the adaptive lasso. The R package is available from jats:sccran</jats:sc>.</jats:p>

Description

Funder: Department of Epidemiology and Biostatistics, Amsterdam UMC, VU University Amsterdam

Keywords

49 Mathematical Sciences, 4905 Statistics

Journal Title

Advances in Data Analysis and Classification

Conference Name

Journal ISSN

1862-5347
1862-5355

Volume Title

14

Publisher

Springer Science and Business Media LLC