Matchability of heterogeneous networks pairs
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.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Jan 06, 2020
- Source ID
- 10.1093/imaiai/iaz031
Entities
People
- Daniel L. Sussman
- Vince Lyzinski
Organizations
- Air Force Research Laboratory
- Boston University
- Defense Advanced Research Projects Agency
- MIT Lincoln Laboratory
- National Institutes of Health
- United States Department of Defense
- University of Maryland