L1Packv2: A Mathematica package for minimizing an $\ell_1$-penalized functional

Ignace Loris

L1Packv2: A Mathematica package for minimizing an $\ell_1$-penalized functional

Ignace Loris

Mathematics

Research output: Contribution to journal › Article › peer-review

17 Citations (Scopus)

Abstract

L1Packv2 is a Mathematica package that contains a number of algorithms that can be used for the minimization of an l1-penalized least squares functional. The algorithms can handle a mix of penalized and unpenalized variables. Several instructive examples are given. Also, an implementation that yields an exact output whenever exact data are given is provided.

Original language	English
Pages (from-to)	895-902
Number of pages	8
Journal	Computer Physics Communications
Volume	179
Publication status	Published - 2008

Keywords

inverse problem
sparsity
1-norm
minimization
compressed sensing

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http://dx.doi.org/10.1016/j.cpc.2008.07.010

Princeton University (External organisation)
Ignace Loris (Member)
1 Sep 2006 → …
Activity: Membership › Membership of external research organisation

Cite this

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abstract = "L1Packv2 is a Mathematica package that contains a number of algorithms that can be used for the minimization of an l1-penalized least squares functional. The algorithms can handle a mix of penalized and unpenalized variables. Several instructive examples are given. Also, an implementation that yields an exact output whenever exact data are given is provided.",

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AB - L1Packv2 is a Mathematica package that contains a number of algorithms that can be used for the minimization of an l1-penalized least squares functional. The algorithms can handle a mix of penalized and unpenalized variables. Several instructive examples are given. Also, an implementation that yields an exact output whenever exact data are given is provided.

KW - inverse problem

KW - sparsity

KW - 1-norm

KW - minimization

KW - compressed sensing

M3 - Article

VL - 179

SP - 895

EP - 902

JO - Computer Physics Communications

JF - Computer Physics Communications

SN - 0010-4655

ER -

L1Packv2: A Mathematica package for minimizing an $\ell_1$-penalized functional

Abstract

Keywords

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Activities

Princeton University (External organisation)

Cite this