Matchability of heterogeneous networks pairs
Files
First author draft
Date
2017-05-05
DOI
Authors
Lyzinski, Vince
Sussman, Daniel L.
Version
First author draft
OA Version
Citation
Vince Lyzinski, Daniel L Sussman. 2017. "Matchability of heterogeneous networks pairs." http://arxiv.org/abs/1705.02294v2
Abstract
We consider the problem of graph matchability in non-identically distributed networks. In a general class of edge-independent networks, we demonstrate that graph matchability is almost surely lost when matching the networks directly, and is almost perfectly recovered when first centering the networks using Universal Singular Value Thresholding before matching. These theoretical results are then demonstrated in both real and synthetic simulation settings. We also recover analogous core-matchability results in a very general core-junk network model, wherein some vertices do not correspond between the graph pair.