Detail publikace

Approximal operator with application to audio inpainting

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

1

Strany do

8

Strany počet

8

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"
}