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MOKRÝ, O. RAJMIC, P.
Originální název
Approximal operator with application to audio inpainting
Typ
článek v časopise ve Web of Science, Jimp
Jazyk
angličtina
Originální abstrakt
In 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.
Klíčová slova
proximal operator; proximal algorithms; approximation; sparsity; audio inpainting
Autoři
MOKRÝ, O.; RAJMIC, P.
Vydáno
9. 9. 2020
Nakladatel
Elsevier
ISSN
0165-1684
Periodikum
SIGNAL PROCESSING
Ročník
179
Číslo
1
Stát
Nizozemsko
Strany od
Strany do
8
Strany počet
URL
https://www.sciencedirect.com/science/article/pii/S0165168420303510
Plný text v Digitální knihovně
http://hdl.handle.net/11012/195252
BibTex
@article{BUT164795, author="Ondřej {Mokrý} and Pavel {Rajmic}", title="Approximal operator with application to audio inpainting", journal="SIGNAL PROCESSING", year="2020", volume="179", number="1", pages="1--8", doi="10.1016/j.sigpro.2020.107807", issn="0165-1684", url="https://www.sciencedirect.com/science/article/pii/S0165168420303510" }