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Cited by 259

The DOI matches its Crossref record; 30 of the 30 references it cites were found in a registry or an index.

Pseudo-likelihood methods for community detection in large sparse networks

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Amini, Arash A., Chen, Aiyou, Bickel, Peter J., Levina, Elizaveta·2013·The Annals of Statistics

Abstract

Many algorithms have been proposed for fitting network models with communities, but most of them do not scale well to large networks, and often fail on sparse networks. Here we propose a new fast pseudo-likelihood method for fitting the stochastic block model for networks, as well as a variant that allows for an arbitrary degree distribution by conditioning on degrees. We show that the algorithms perform well under a range of settings, including on very sparse networks, and illustrate on the example of a network of political blogs. We also propose spectral clustering with perturbations, a method of independent interest, which works well on sparse networks where regular spectral clustering fails, and use it to provide an initial value for pseudo-likelihood. We prove that pseudo-likelihood provides consistent estimates of the communities under a mild condition on the starting value, for the case of a block model with two communities.

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Metadata

Authors
Amini, A. A., Chen, A., Bickel, P. J., & Levina, E.
Venue
The Annals of Statistics
Published
2013-08-01
Volume
41
Issue
4
Pages
2097-2122
ISSN
0090-5364 (ISSN-L)
OpenAlex
W1973207991
Cited by
259
References
30
FWCI
8.13
Type
journal article
Language
en
Open access
bronze

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CoChat. (2026). Citation check: Pseudo-likelihood methods for community detection in large sparse networks. https://app.cochat.ai/papers/10.1214/13-aos1138
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Amini, A. A., Chen, A., Bickel, P. J., & Levina, E. (2013). Pseudo-likelihood methods for community detection in large sparse networks. The Annals of Statistics. https://doi.org/10.1214/13-aos1138

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

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