Matchability of heterogeneous networks pairs. (6th January 2020)

• Record Type: Journal Article
• Authors: Lyzinski, Vince; Sussman, Daniel L
• Is Part Of: Information and inference. Volume 9:Number 4(2020)
• Page Start: 749
• Page End: 783
• Publication Date: 2020-01-06
• Subjects: graph matching -- random graphs -- singular value thresholding; Mathematical models -- Periodicals; 519.605
• DOI: 10.1093/imaiai/iaz031
• Languages: English
• ISSNs: 2049-8764

Abstract

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 can be lost with high probability when matching the networks directly. We further demonstrate that under mild model assumptions, matchability is almost perfectly recovered by 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.