Fixed effects selection in the linear mixed-effects model using adaptive ridge procedure for L0 penalty performance

Abstract : This paper is concerned with the selection of fixed effects along with the estimation of fixed effects, random effects and variance components in the linear mixed-effects model. We introduce a selection procedure based on an adaptive ridge (AR) penalty of the profiled likelihood, where the covariance matrix of the random effects is Cholesky factorized. This selection procedure is intended to both low and high-dimensional settings where the number of fixed effects is allowed to grow exponentially with the total sample size, yielding technical difficulties due to the non-convex optimization problem induced by L0 penalties. Through extensive simulation studies, the procedure is compared to the LASSO selection and appears to enjoy the model selection consistency as well as the estimation consistency.
Type de document :
Pré-publication, Document de travail
2017
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https://hal.archives-ouvertes.fr/hal-01494187
Contributeur : Eric Adjakossa <>
Soumis le : jeudi 4 mai 2017 - 12:13:40
Dernière modification le : mercredi 29 novembre 2017 - 16:28:43
Document(s) archivé(s) le : samedi 5 août 2017 - 12:55:34

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Article3ADJAKOSSA.pdf
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  • HAL Id : hal-01494187, version 2
  • ARXIV : 1705.01308

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UPMC | PMA | USPC

Citation

Eric Adjakossa, Grégory Nuel. Fixed effects selection in the linear mixed-effects model using adaptive ridge procedure for L0 penalty performance. 2017. 〈hal-01494187v2〉

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