Model Selection Consistency of Lasso for Empirical Data

Citation:

Yuehan YANG,Hu YANG.Model Selection Consistency of Lasso for Empirical Data[J].Chinese Annals of Mathematics B,2018,39(4):607~620
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Authors:

Yuehan YANG; Hu YANG

Foundation:

This work was supported by the National Natural Science Foundation of China (No. 11671059) and the Fundamental Research Funds for the Central Universities.
Abstract: Large-scale empirical data, the sample size and the dimension are high, often exhibit various characteristics. For example, the noise term follows unknown distributions or the model is very sparse that the number of critical variables is fixed while dimensionality grows with $n$. The authors consider the model selection problem of lasso for this kind of data. The authors investigate both theoretical guarantees and simulations, and show that the lasso is robust for various kinds of data.

Keywords:

Lasso, Model selection, Empirical data

Classification:

62J05, 62J07
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