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arXiv · 1402.1888

A Consistent Histogram Estimator for Exchangeable Graph Models

Stanley H. Chan·Edoardo M. Airoldi
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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.

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Stanley H. Chan, Edoardo M. Airoldi. 2014-02-11. A Consistent Histogram Estimator for Exchangeable Graph Models. https://arxiv.org/abs/1402.1888

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