Automatic Dimension Selection for a Non-negative Factorization Approach to Clustering Multiple Random Graphs

Abstract

We consider a problem of grouping multiple graphs into several clusters using singular value thesholding and non-negative factorization. We derive a model selection information criterion to estimate the number of clusters. We demonstrate our approach using "Swimmer data set" as well as simulated data set, and compare its performance with two standard clustering algorithms.

This paper has been withdrawn by the author due to a newer version with overlapping contents