Optimal Laplacian regularization for sparse spectral community detection

3 Dec 2019  ·  Lorenzo Dall'Amico, Romain Couillet, Nicolas Tremblay ·

Regularization of the classical Laplacian matrices was empirically shown to improve spectral clustering in sparse networks. It was observed that small regularizations are preferable, but this point was left as a heuristic argument. In this paper we formally determine a proper regularization which is intimately related to alternative state-of-the-art spectral techniques for sparse graphs.

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