Veranstaltungen

02. März 2023, 15:00 bis 16:00
Gastvortrag Prof. Geert Leus
Gastvortrag

A General Graph Convolution Theorem: Application to Dual Graph Inference

Abstract:

This talk starts by introducing some basic concepts in the field of graph signal processing including graph filtering (or graph convolution) and the conventional graph convolution theorem.

The talk continues by extending this theorem to a general graph convolution theorem by introducing two notions: the node-varying graph filter and the dual graph. The node-varying graph filter broadens the applicability of the conventional graph filter by assigning different filter coefficients to different nodes, whereas the dual graph characterizes the structure of the graph frequency domain.

Using these two notions a general graph convolution theorem can be proposed which encompasses the conventional one and which can be seen as a translation of the convolution theorem for time-varying filters to the graph domain.

Interestingly, using non-stationary graph data on the original (or primal) graph, we can use the proposed convolution theorem to learn the dual graph and thereby introduce an innovative data-driven dual graph estimation technique.

Biography:

Geert Leus received the M.Sc. and Ph.D. degree in Electrical Engineering from the KU Leuven, Belgium, in June 1996 and May 2000, respectively.

Geert Leus is now a Full Professor at the Faculty of Electrical Engineering, Mathematics and Computer Science of the Delft University of Technology, The Netherlands.

His research interests are in the broad area of signal processing, with a specific focus on wireless communications, array processing, sensor networks, and graph signal processing.

Geert Leus received the 2021 EURASIP Individual Technical Achievement Award, a 2005 IEEE Signal Processing Society Best Paper Award, and a 2002 IEEE Signal Processing Society Young Author Best Paper Award.

He is a Fellow of the IEEE and a Fellow of EURASIP. Geert Leus was a Member-at-Large of the Board of Governors of the IEEE Signal Processing Society, the Chair of the IEEE Signal Processing for Communications and Networking Technical Committee, the Chair of the EURASIP Technical Area Committee on Signal Processing for Multisensor Systems, a Member of the IEEE Sensor Array and Multichannel Technical Committee, a Member of the IEEE Big Data Special Interest Group, a Member of the EURASIP Signal Processing for Communications and Networking Special Area Team, and the Editor in Chief of the EURASIP Journal on Advances in Signal Processing.

He was also on the Editorial Boards of the IEEE Transactions on Signal Processing, the IEEE Transactions on Wireless Communications, the IEEE Signal Processing Letters, and the EURASIP Journal on Advances in Signal Processing.

Currently, he is a Member of the IEEE Signal Processing Theory and Methods Technical Committee, an Associate Editor of Foundations and Trends in Signal Processing, and the Editor in Chief of EURASIP Signal Processing.