RT Journal Article T1 A critical review of LASSO and its derivatives for variable selection under dependence among covariates A1 Freijeiro-González, Laura A1 Febrero Bande, Manuel A1 González Manteiga, Wenceslao K1 Covariates selection K1 p > n K1 L1 regularisation techniques K1 LASSO AB The limitations of the well-known LASSO regression as a variable selector are tested when there exists dependence structures among covariates. We analyse both the classic situation with n ≥ p and the high dimensional framework with p > n. Known restrictive properties of this methodology to guarantee optimality, as well as inconveniences in practice, are analysed and tested by means of an extensive simulation study. Examples of these drawbacks are showed making use of different dependence scenarios. In order to search for improvements, a broad comparison with LASSO derivatives and alternatives is carried out. Eventually, we give some guidance about what procedures work best in terms of the considered data nature PB Wiley YR 2022 FD 2022 LK http://hdl.handle.net/10347/29076 UL http://hdl.handle.net/10347/29076 LA eng NO International Statistical Review (2022), 90, 1, 118–145. https://doi.org/10.1111/insr.12469 NO This work has been partially supported by the Spanish Ministerio de Economía, Industria y Competitividad grant MTM2016-76969-P, Xunta de Galicia Competitive Reference Groups 2017-2020 (ED431C 2017/38) and the Xunta de Galicia grant ED481A-2018/264 DS Minerva RD 25 abr 2026