Topological Volterra Filters

Title

Topological Volterra Filters

 Author

Leus, G.J.T. (TU Delft Signal Processing Systems) ORCID 0000-0001-8288-867X
Yang, Maosheng (TU Delft Multimedia Computing) ORCID 0000-0002-0583-9628
Coutino, Mario (TU Delft Signal Processing Systems)
Isufi, E. (TU Delft Multimedia Computing) ORCID 0000-0002-1919-260X

 Date

2021

 Abstract

To deal with high-dimensional data, graph filters have shown their power in both graph signal processing and data science. However, graph filters process signals exploiting only pairwise interactions between the nodes, and they are not able to exploit more complicated topological structures. Graph Volterra models, on the other hand, are also able to exploit relations between triplets, quadruplets and so on. However, they have only been exploited for topology identification and are only based on one-hop relations. In this paper, we first review graph filters and graph Volterra models and then merge the two concepts resulting in so-called topological Volterra filters (TVFs). TVFs process signals over multiple hops of higher-level topological structures. First-level TVFs are basically similar to traditional graph filters, yet higher-level TVFs provide a more general processing framework. We apply TVFs to inverse filtering and recommender systems.

 Subject

Graph Volterra model
Graph filters
Higherlevel interactions
Graph signal processing

 To reference this document use:

http://resolver.tudelft.nl/uuid:761d8624-a79e-4af4-92a9-7585dbe04921

 DOI

https://doi.org/10.1109/ICASSP39728.2021.9414275

 Publisher

IEEE, Piscataway

 Embargo date

2021-11-13

 ISBN

978-1-7281-7606-2

 Source

ICASSP 2021 - 2021 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)

 Event

ICASSP 2021, 2021-06-06 → 2021-06-11, Virtual Conference/Toronto, Canada

 Bibliographical note

Green Open Access added to TU Delft Institutional Repository 'You share, we take care!' - Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.

 Part of collection

Institutional Repository

 Document type

conference paper

 Rights

© 2021 G.J.T. Leus, Maosheng Yang, Mario Coutino, E. Isufi
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