Title
A Matrix Factorization Approach to Graph Compression
Abstract
We address the problem of encoding a graph of order n into a graph of order k <; n in a way to minimize reconstruction error. We characterize this encoding in terms of a particular factorization of the adjacency matrix of the original graph. The factorization is determined as the solution of a discrete optimization problem, which is for convenience relaxed into a continuous, but equivalent, one. We propose a new multiplicative update rule for the optimization task. Experiments are conducted to assess the effectiveness of the proposed approach.
Year
DOI
Venue
2014
10.1109/ICPR.2014.23
Pattern Recognition
Keywords
Field
DocType
graph theory,matrix decomposition,optimisation,adjacency matrix,discrete optimization problem,graph compression,graph encoding,matrix factorization approach,multiplicative update rule
Adjacency matrix,Adjacency list,Factor graph,Discrete mathematics,Strength of a graph,Spectral graph theory,Graph energy,Computer science,Graph bandwidth,Graph partition
Conference
Volume
ISSN
Citations 
9370
1051-4651
3
PageRank 
References 
Authors
0.38
11
3
Name
Order
Citations
PageRank
Farshad Nourbakhsh1133.02
Samuel Rota Bulo216112.05
Marcello Pelillo31888150.33