Estimating Mixed-Memberships Using the Symmetric Laplacian Inverse Matrix

arXiv:2012.09561v2 Announce Type: replace-cross
Abstract: Mixed membership community detection is a challenging problem. In this paper, to detect mixed memberships, we propose a new method Mixed-SLIM which is a spectral clustering method on the symmetrized Laplacian inverse matrix under the degree-corrected mixed membership model. We provide theoretical bounds for the estimation error on the proposed algorithm and its regularized version under mild conditions. Meanwhile, we provide some extensions of the proposed method to deal with large networks in practice. These …

abstract arxiv clustering community cs.lg detection error matrix mixed paper stat.ml type