English

Optimal Laplacian regularization for sparse spectral community detection

Machine Learning 2020-05-18 v2 Machine Learning

Abstract

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.

Keywords

Cite

@article{arxiv.1912.01419,
  title  = {Optimal Laplacian regularization for sparse spectral community detection},
  author = {Lorenzo Dall'Amico and Romain Couillet and Nicolas Tremblay},
  journal= {arXiv preprint arXiv:1912.01419},
  year   = {2020}
}
R2 v1 2026-06-23T12:34:24.605Z