Network topology change-point detection from graph signals with prior spectral signatures

Chiraag Kaushik; T. Mitchell Roddenberry; Santiago Segarra

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arXiv · 2010.11345

Network topology change-point detection from graph signals with prior spectral signatures

Chiraag Kaushik·T. Mitchell Roddenberry·Santiago Segarra

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Abstract

We consider the problem of sequential graph topology change-point detection from graph signals. We assume that signals on the nodes of the graph are regularized by the underlying graph structure via a graph filtering model, which we then leverage to distill the graph topology change-point detection problem to a subspace detection problem. We demonstrate how prior information on the spectral signature of the post-change graph can be incorporated to implicitly denoise the observed sequential data, thus leading to a natural CUSUM-based algorithm for change-point detection. Numerical experiments illustrate the performance of our proposed approach, particularly underscoring the benefits of (potentially noisy) prior information.

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BibTeX RIS

Chiraag Kaushik, T. Mitchell Roddenberry, Santiago Segarra. 2020-10-21. Network topology change-point detection from graph signals with prior spectral signatures. https://arxiv.org/abs/2010.11345

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