• Corpus ID: 235390403

Sign Consistency of the Generalized Elastic Net Estimator

  title={Sign Consistency of the Generalized Elastic Net Estimator},
  author={Wencan Zhu and Eric Houngla Adjakossa and C'eline L'evy-Leduc and Nils Tern{\`e}s},
In this paper, we propose a novel variable selection approach in the framework of highdimensional linear models where the columns of the design matrix are highly correlated. It consists in rewriting the initial high-dimensional linear model to remove the correlation between the columns of the design matrix and in applying a generalized Elastic Net criterion since it can be seen as an extension of the generalized Lasso. ‘e properties of our approach called gEN (generalized Elastic Net) are… 

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