Regression Shrinkage and Selection Via the Lasso

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ID: 289056
1996
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Ranked #14 of 145 articles by views in Journal of the Royal Statistical Society Series B (Statistical Methodology)

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Abstract
SUMMARY We propose a new method for estimation in linear models. The ‘lasso’ minimizes the residual sum of squares subject to the sum of the absolute value of the coefficients being less than a constant. Because of the nature of this constraint it tends to produce some coefficients that are exactly 0 and hence gives interpretable models. Our simulation studies suggest that the lasso enjoys some of the favourable properties of both subset selection and ridge regression. It produces interpretable models like subset selection and exhibits the stability of ridge regression. There is also an interesting relationship with recent work in adaptive function estimation by Donoho and Johnstone. The lasso idea is quite general and can be applied in a variety of statistical models: extensions to generalized regression models and tree-based models are briefly described.
Reference Key
openalex_W2135046866 Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Robert Tibshirani
Journal Journal of the Royal Statistical Society Series B (Statistical Methodology)
Year 1996
DOI
10.1111/j.2517-6161.1996.tb02080.x
URL
https://doi.org/10.1111/j.2517-6161.1996.tb02080.x
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