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20072022
most citedStochastic blockmodels with growing number of classes

234 citations · 1.2k across the 33 of their papers we have counts for

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7 papers · 1 filter

math.ST2020

Tractably Modelling Dependence in Networks Beyond Exchangeability

Weichi Wu, Sofia Olhede, Patrick Wolfe

We propose a general framework for modelling network data that is designed to describe aspects of non-exchangeable networks. Conditional on latent (unobserved) variables, the edges…

math.ST2016★ 4 cited

Network modularity in the presence of covariates

Beate Franke, Patrick J. Wolfe

We characterize the large-sample properties of network modularity in the presence of covariates, under a natural and flexible nonparametric null model. This provides for the first…

math.ST2013★ 133 cited

Nonparametric graphon estimation

Patrick J. Wolfe, Sofia C. Olhede

We propose a nonparametric framework for the analysis of networks, based on a natural limit object termed a graphon. We prove consistency of graphon estimation under general condit…

math.ST2012★ 49 cited

Co-clustering separately exchangeable network data

David Choi, Patrick J. Wolfe

This article establishes the performance of stochastic blockmodels in addressing the co-clustering problem of partitioning a binary array into subsets, assuming only that the data…

math.ST2012★ 20 cited

Degree-based network models

Sofia C. Olhede, Patrick J. Wolfe

We derive the sampling properties of random networks based on weights whose pairwise products parameterize independent Bernoulli trials. This enables an understanding of many degre…

math.ST2012★ 37 cited

Null models for network data

Patrick O. Perry, Patrick J. Wolfe

The analysis of datasets taking the form of simple, undirected graphs continues to gain in importance across a variety of disciplines. Two choices of null model, the logistic-linea…