Correlation-based Graph Smoothness Measures In Graph Signal Processing

Jari Miettinen, Sergiy A. Vorobyov, Esa Ollila, Xinjue Wang

Research output: Chapter in Book/Report/Conference proceedingConference article in proceedingsScientificpeer-review

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Abstract

Graph smoothness is an important prior used for designing sampling strategies for graph signals as well as for regularizing the problem of graph learning. Additionally, smoothness is an appropriate assumption for graph signal processing (GSP) tasks such as filtering or signal recovery from samples. The most popular measure of smoothness is the quadratic form of the Laplacian, which naturally follows from the factor analysis approach. This paper presents a novel smoothness measure based on the graph correlation. The proposed measure enhances the applicability of graph smoothness measures across a variety of GSP tasks, by facilitating interoperability and generalizing across shift operators.

Original languageEnglish
Title of host publication31st European Signal Processing Conference, EUSIPCO 2023 - Proceedings
PublisherEuropean Signal Processing Conference (EUSIPCO)
Pages1848-1852
Number of pages5
ISBN (Electronic)978-9-4645-9360-0
DOIs
Publication statusPublished - 2023
MoE publication typeA4 Conference publication
EventEuropean Signal Processing Conference - Helsinki, Finland
Duration: 4 Sept 20238 Sept 2023
Conference number: 31
https://eusipco2023.org/

Publication series

NameEuropean Signal Processing Conference
ISSN (Print)2219-5491

Conference

ConferenceEuropean Signal Processing Conference
Abbreviated titleEUSIPCO
Country/TerritoryFinland
CityHelsinki
Period04/09/202308/09/2023
Internet address

Keywords

  • graph autocorrelation
  • graph autocovariance
  • Graph signal processing
  • graph smoothness measures

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