Title
Predicting Directed Links Using Nondiagonal Matrix Decompositions
Abstract
We present a method for trust prediction based on no diagonal decompositions of the asymmetric adjacency matrix of a directed network. The method we propose is based on a no diagonal decomposition into directed components (DEDICOM), which we use to learn the coefficients of a matrix polynomial of the network's adjacency matrix. We show that our method can be used to compute better low-rank approximations to a polynomial of a network's adjacency matrix than using the singular value decomposition, and that a higher precision can be achieved at the task of predicting directed links than by undirected or bipartite methods.
Year
DOI
Venue
2012
10.1109/ICDM.2012.16
Data Mining
Keywords
Field
DocType
directed graphs,matrix decomposition,polynomial matrices,trusted computing,asymmetric adjacency matrix,bipartite methods,decomposition into directed components,directed network,low-rank approximations,matrix polynomial coefficients,network adjacency matrix,nondiagonal decompositions,singular value decomposition,trust prediction,undirected methods,decomposition into directed components,trust
Adjacency matrix,Discrete mathematics,Combinatorics,Computer science,Matrix decomposition,Symmetric matrix,Hollow matrix,Degree matrix,Diagonal matrix,Band matrix,Sparse matrix
Conference
ISSN
ISBN
Citations 
1550-4786
978-1-4673-4649-8
5
PageRank 
References 
Authors
0.45
9
2
Name
Order
Citations
PageRank
Jérôme Kunegis187451.20
Jörg Fliege221020.95