Title
Inferring Vertex Properties from Topology in Large Networks
Abstract
Network topology not only tells about tightly-connected "communities," but also gives cues on more subtle properties of the vertices. We introduce a simple probabilistic latent-variable model which finds either latent blocks or more graded structures, depending on hyperparameters. With collapsed Gibbs sampling it can be estimated for networks of 106 vertices or more, and the number of latent components adapts to data through a Dirichlet process prior. Applied to the social network of a music recommendation site (Last.fm), reasonable combinations of musical genres appear from the network topology, as revealed by subsequent matching of the latent structure with listening habits of the participants. The advantages of the generative nature of the model are explicit handling of uncertainty in the sparse data, and easy interpretability, extensibility, and adaptation to applications with incomplete data.
Year
Venue
Keywords
2007
MLG
gibbs sampling,latent variable model,social network,sparse data,network topology
Field
DocType
Citations 
Interpretability,Latent Dirichlet allocation,Dirichlet process,Vertex (geometry),Computer science,Network topology,Artificial intelligence,Probabilistic logic,Machine learning,Sparse matrix,Gibbs sampling
Conference
7
PageRank 
References 
Authors
0.68
2
3
Name
Order
Citations
PageRank
Janne Sinkkonen123121.36
Janne Aukia270.68
Samuel Kaski32755245.52