Minimizers of sparsity regularized huber loss function

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buir.contributor.authorAkkaya, Deniz
buir.contributor.authorPınar, Mustafa Ç.
dc.citation.epage233en_US
dc.citation.issueNumber1en_US
dc.citation.spage205en_US
dc.citation.volumeNumber187en_US
dc.contributor.authorAkkaya, Deniz
dc.contributor.authorPınar, Mustafa Ç.
dc.date.accessioned2021-02-19T09:31:34Z
dc.date.available2021-02-19T09:31:34Z
dc.date.issued2020
dc.departmentDepartment of Industrial Engineeringen_US
dc.description.abstractWe investigate the structure of the local and global minimizers of the Huber loss function regularized with a sparsity inducing L0 norm term. We characterize local minimizers and establish conditions that are necessary and sufficient for a local minimizer to be strict. A necessary condition is established for global minimizers, as well as non-emptiness of the set of global minimizers. The sparsity of minimizers is also studied by giving bounds on a regularization parameter controlling sparsity. Results are illustrated in numerical examples.en_US
dc.description.provenanceSubmitted by Onur Emek (onur.emek@bilkent.edu.tr) on 2021-02-19T09:31:34Z No. of bitstreams: 1 Minimizers_of_Sparsity_Regularized_Huber_Loss_Function.pdf: 504520 bytes, checksum: de5534212b0c27d9d44ce6f3e52a3251 (MD5)en
dc.description.provenanceMade available in DSpace on 2021-02-19T09:31:34Z (GMT). No. of bitstreams: 1 Minimizers_of_Sparsity_Regularized_Huber_Loss_Function.pdf: 504520 bytes, checksum: de5534212b0c27d9d44ce6f3e52a3251 (MD5) Previous issue date: 2020en
dc.identifier.doi10.1007/s10957-020-01745-3en_US
dc.identifier.issn0022-3239
dc.identifier.urihttp://hdl.handle.net/11693/75483
dc.language.isoEnglishen_US
dc.publisherSpringeren_US
dc.relation.isversionofhttps://dx.doi.org/10.1007/s10957-020-01745-3en_US
dc.source.titleJournal of Optimization Theory and Applicationsen_US
dc.subjectSparse solution of linear systemsen_US
dc.subjectRegularizationen_US
dc.subjectLocal minimizeren_US
dc.subjectGlobal minimizeren_US
dc.titleMinimizers of sparsity regularized huber loss functionen_US
dc.typeArticleen_US

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