Title
A Consistent Histogram Estimator for Exchangeable Graph Models.
Abstract
Exchangeable graph models (ExGM) subsume a number of popular network models. The mathematical object that characterizes an ExGM is termed a graphon. Finding scalable estimators of graphons, provably consistent, remains an open issue. In this paper, we propose a histogram estimator of a graphon that is provably consistent and numerically efficient. The proposed estimator is based on a sorting-and-smoothing (SAS) algorithm, which first sorts the empirical degree of a graph, then smooths the sorted graph using total variation minimization. The consistency of the SAS algorithm is proved by leveraging sparsity concepts from compressed sensing.
Year
Venue
Field
2014
ICML
Histogram,Mathematical object,Computer science,Artificial intelligence,Compressed sensing,Graph,Mathematical optimization,Pattern recognition,Algorithm,Total variation minimization,Network model,Estimator,Scalability
DocType
Citations 
PageRank 
Conference
10
0.70
References 
Authors
12
2
Name
Order
Citations
PageRank
Stanley H. Chan140330.95
Edoardo Airoldi270959.54