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Regularization Paths for Generalized Linear Models via Coordinate Descent

delete2010-01-01
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OA
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J
Jerome H. Friedman *
T
Trevor Hastie
T
Tibshirani, Rob
DOI:10.18637/jss.v033.i01delete
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Abstract

Abstract

En 中文
We develop fast algorithms for estimation of generalized linear models with convex penalties. The models include linear regression, two-class logistic regression, and multinomial regression problems while the penalties include l(1) (the lasso), l(2) (ridge regression) and mixtures of the two (the elastic net). The algorithms use cyclical coordinate descent, computed along a regularization path. The methods can handle large problems and can also deal efficiently with sparse features. In comparative timings we find that the new algorithms are considerably faster than competing methods.
Keywords:
lasso
elastic net
logistic regression
l(1) penalty
regularization path
coordinate-descent

Journal

Journal of Statistical Software cover
Journal of Statistical Software
IF:
8.1
Papers:
622
Citations:
4.6W

Organization

S
Stanford University
Scholars:
9.6W
Papers: 8.2W
Citations: 17.0W