Title
Fiedler Random Fields: A Large-Scale Spectral Approach to Statistical Network Modeling.
Abstract
Statistical models for networks have been typically committed to strong prior assumptions concerning the form of the modeled distributions. Moreover, the vast majority of currently available models are explicitly designed for capturing some specific graph properties (such as power-law degree distributions), which makes them unsuitable for application to domains where the behavior of the target quantities is not known a priori. The key contribution of this paper is twofold. First, we introduce the Fiedler delta statistic, based on the Laplacian spectrum of graphs, which allows to dispense with any parametric assumption concerning the modeled network properties. Second, we use the defined statistic to develop the Fiedler random field model, which allows for efficient estimation of edge distributions over large-scale random networks. After analyzing the dependence structure involved in Fiedler random fields, we estimate them over several real-world networks, showing that they achieve a much higher modeling accuracy than other well-known statistical approaches.
Year
Venue
Field
2012
NIPS
Random field,Graph property,Statistic,Computer science,A priori and a posteriori,Strong prior,Parametric statistics,Artificial intelligence,Statistical model,Network model,Machine learning
DocType
Citations 
PageRank 
Conference
1
0.34
References 
Authors
5
3
Name
Order
Citations
PageRank
Antonino Freno1435.94
Mikaela Keller2393.22
Tommasi, Marc310.34