On the Peaking Phenomenon of the Lasso in Model Selection

dc.creatorKraemer, Nicole
dc.date2009-04-28
dc.date.accessioned2026-07-07T13:09:27Z
dc.date.available2026-07-07T13:09:27Z
dc.descriptionI briefly report on some unexpected results that I obtained when optimizing the model parameters of the Lasso. In simulations with varying observations-to-variables ratio n=p, I typically observe a strong peak in the test error curve at the transition point n/p = 1. This peaking phenomenon is well-documented in scenarios that involve the inversion of the sample covariance matrix, and as I illustrate in this note, it is also the source of the peak for the Lasso. The key problem is the parametrization of the Lasso penalty (as e.g. in the current R package lars) and I present a solution in terms of a normalized Lasso parameter.
dc.identifierhttps://arxiv.org/abs/0904.4416
dc.identifierhttp://arxiv.org/abs/0904.4416
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/228738
dc.subjectMethodology
dc.titleOn the Peaking Phenomenon of the Lasso in Model Selection
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