# Learning the exact topology of undirected consensus networks

@article{Talukdar2017LearningTE, title={Learning the exact topology of undirected consensus networks}, author={Saurav Talukdar and Deepjyoti Deka and Sandeep Attree and Donatello Materassi and Murti V. Salapaka}, journal={2017 IEEE 56th Annual Conference on Decision and Control (CDC)}, year={2017}, pages={5784-5789} }

In this article, we present a method to learn the interaction topology of a network of agents undergoing linear consensus updates in a non invasive manner. Our approach is based on multivariate Wiener filtering, which is known to recover spurious edges apart from the true edges in the topology. The main contribution of this work is to show that in the case of undirected consensus networks, all spurious links obtained using Wiener filtering can be identified using frequency response of the…

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