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High-Dimensional Generalized Linear Models and the Lasso

High-Dimensional Generalized Linear Models and the Lasso

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_projecteuclid_primary_oai_CULeuclid_euclid_aos_1205420513

High-Dimensional Generalized Linear Models and the Lasso

About this item

Full title

High-Dimensional Generalized Linear Models and the Lasso

Author / Creator

Publisher

Hayward, CA: Institute of Mathematical Statistics

Journal title

The Annals of statistics, 2008-04, Vol.36 (2), p.614-645

Language

English

Formats

Publication information

Publisher

Hayward, CA: Institute of Mathematical Statistics

More information

Scope and Contents

Contents

We consider high-dimensional generalized linear models with Lipschitz loss functions, and prove a nonasymptotic oracle inequality for the empirical risk minimizer with Lasso penalty. The penalty is based on the coefficients in the linear predictor, after normalization with the empirical norm. The examples include logistic regression, density estima...

Alternative Titles

Full title

High-Dimensional Generalized Linear Models and the Lasso

Authors, Artists and Contributors

Author / Creator

Identifiers

Primary Identifiers

Record Identifier

TN_cdi_projecteuclid_primary_oai_CULeuclid_euclid_aos_1205420513

Permalink

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_projecteuclid_primary_oai_CULeuclid_euclid_aos_1205420513

Other Identifiers

ISSN

0090-5364

E-ISSN

2168-8966

DOI

10.1214/009053607000000929

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