MIMO Graph Filters for Convolutional Neural Networks

Fernando Gama, Antonio G. Marques, Alejandro Ribeiro, Geert Leus

Research output: Chapter in Book/Conference proceedings/Edited volumeConference contributionScientificpeer-review

3 Citations (Scopus)

Abstract

Superior performance and ease of implementation have fostered the adoption of Convolutional Neural Networks (CNN s) for a wide array of inference and reconstruction tasks. CNNs implement three basic blocks: convolution, pooling and pointwise nonlinearity. Since the two first operations are well-defined only on regular-structured data such as audio or images, application of CNN s to contemporary datasets where the information is defined in irregular domains is challenging. This paper investigates CNNs architectures to operate on signals whose support can be modeled using a graph. Architectures that replace the regular convolution with a so-called linear shift-invariant graph filter have been recently proposed. This paper goes one step further and, under the framework of multiple-input multiple-output (MIMO) graph filters, imposes additional structure on the adopted graph filters, to obtain three new (more parsimonious) architectures. The proposed architectures result in a lower number of model parameters, reducing the computational complexity, facilitating the training, and mitigating the risk of overfitting. Simulations show that the proposed simpler architectures achieve similar performance as more complex models.

Original languageEnglish
Title of host publication2018 IEEE 19th International Workshop on Signal Processing Advances in Wireless Communications, SPAWC 2018
Place of PublicationPiscataway, NJ
PublisherIEEE
Pages1-5
Number of pages5
Volume2018-June
ISBN (Electronic)978-1-5386-3512-4
DOIs
Publication statusPublished - 2018
EventSPAWC 2018: 19th IEEE International Workshop on Signal Processing Advances in Wireless Communications - Kalamata, Greece
Duration: 25 Jun 201828 Jun 2018
Conference number: 19
http://www.spawc2018.org/

Conference

ConferenceSPAWC 2018
Abbreviated titleSPAWC
CountryGreece
CityKalamata
Period25/06/1828/06/18
Internet address

Keywords

  • Convolutional neural networks
  • graph signal processing
  • MIMO
  • network data

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