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MOKRÝ, O. RAJMIC, P.
Original Title
Approximal operator with application to audio inpainting
Type
journal article in Web of Science
Language
English
Original Abstract
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.
Keywords
proximal operator; proximal algorithms; approximation; sparsity; audio inpainting
Authors
MOKRÝ, O.; RAJMIC, P.
Released
9. 9. 2020
Publisher
Elsevier
ISBN
0165-1684
Periodical
SIGNAL PROCESSING
Year of study
179
Number
1
State
Kingdom of the Netherlands
Pages from
Pages to
8
Pages count
URL
https://www.sciencedirect.com/science/article/pii/S0165168420303510
Full text in the Digital Library
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" }