Approximal operator with application to audio inpainting

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dc.contributor.authorMokrý, Ondřejcs
dc.contributor.authorRajmic, Pavelcs
dc.coverage.issue1cs
dc.coverage.volume179cs
dc.date.issued2020-09-09cs
dc.description.abstractIn their recent evaluation of time-frequency representations and structured sparsity approaches to audio inpainting, Lieb and Stark (2018) have used a particular mapping as a proximal operator. This operator serves as the fundamental part of an iterative numerical solver. However, their mapping is improperly justified. The present article proves that their mapping is indeed a proximal operator, and also derives its proper counterpart. Furthermore, it is rationalized that Lieb and Stark's operator can be understood as an approximation of the proper mapping. Surprisingly, in most cases, such an approximation (referred to as the approximal operator) is shown to provide even better numerical results in audio inpainting compared to its proper counterpart, while being computationally much more effective.en
dc.formattextcs
dc.format.extent1-8cs
dc.format.mimetypeapplication/pdfcs
dc.identifier.citationSIGNAL PROCESSING. 2020, vol. 179, issue 1, p. 1-8.en
dc.identifier.doi10.1016/j.sigpro.2020.107807cs
dc.identifier.issn0165-1684cs
dc.identifier.orcid0000-0003-1806-5809cs
dc.identifier.orcid0000-0002-8381-4442cs
dc.identifier.other164795cs
dc.identifier.researcheridAAN-8631-2020cs
dc.identifier.researcheridA-3467-2013cs
dc.identifier.scopus57211990254cs
dc.identifier.scopus14024654600cs
dc.identifier.urihttp://hdl.handle.net/11012/195252
dc.language.isoencs
dc.publisherElseviercs
dc.relation.ispartofSIGNAL PROCESSINGcs
dc.relation.urihttps://www.sciencedirect.com/science/article/pii/S0165168420303510cs
dc.rightsCreative Commons Attribution 4.0 Internationalcs
dc.rights.accessopenAccesscs
dc.rights.sherpahttp://www.sherpa.ac.uk/romeo/issn/0165-1684/cs
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/cs
dc.subjectproximal operatoren
dc.subjectproximal algorithmsen
dc.subjectapproximationen
dc.subjectsparsityen
dc.subjectaudio inpaintingen
dc.titleApproximal operator with application to audio inpaintingen
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
sync.item.dbidVAV-164795en
sync.item.dbtypeVAVen
sync.item.insts2025.02.03 15:42:06en
sync.item.modts2025.01.17 15:26:17en
thesis.grantorVysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií. Ústav telekomunikacícs
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