Time-resolved analysis of dynamic graphs: an extended Slepian design

Raphaël Liégeois; Ibrahim Merad; Dimitri Van De Ville

doi:10.1117/12.2530550

9 September 2019 Time-resolved analysis of dynamic graphs: an extended Slepian design

Raphaël Liégeois, Ibrahim Merad, Dimitri Van De Ville

Proceedings Volume 11138, Wavelets and Sparsity XVIII; 1113810 (2019) https://doi.org/10.1117/12.2530550
Event: SPIE Optical Engineering + Applications, 2019, San Diego, California, United States

Abstract

Graphs are extensively used to represent networked data. In many applications, especially when considering large datasets, it is a desirable feature to focus the analysis onto specific subgraphs of interest. Slepian theory and its extension to graphs allows to do this and has been applied recently to analyze various types of networks. One limitation of this framework, however, is that the number of subgraphs of interest is typically limited to one. We introduce an extended Slepian design that allows to consider an arbitrary number of subgraphs of interest. This extension offers the possibility to encode prior information about multiple subgraphs in a two-dimensional plane. As a proof of concept and potential application, we demonstrate that this framework allows to perform time-resolved and spatio-temporal analyses of dynamic graphs.

Citation Download Citation

Raphaël Liégeois, Ibrahim Merad, and Dimitri Van De Ville "Time-resolved analysis of dynamic graphs: an extended Slepian design", Proc. SPIE 11138, Wavelets and Sparsity XVIII, 1113810 (9 September 2019); https://doi.org/10.1117/12.2530550

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