English

Stochastic Block Model and Community Detection in the Sparse Graphs: A spectral algorithm with optimal rate of recovery

Data Structures and Algorithms 2015-06-25 v2

Abstract

In this paper, we present and analyze a simple and robust spectral algorithm for the stochastic block model with kk blocks, for any kk fixed. Our algorithm works with graphs having constant edge density, under an optimal condition on the gap between the density inside a block and the density between the blocks. As a co-product, we settle an open question posed by Abbe et. al. concerning censor block models.

Keywords

Cite

@article{arxiv.1501.05021,
  title  = {Stochastic Block Model and Community Detection in the Sparse Graphs: A spectral algorithm with optimal rate of recovery},
  author = {Peter Chin and Anup Rao and Van Vu},
  journal= {arXiv preprint arXiv:1501.05021},
  year   = {2015}
}