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arXiv · 1707.01350

Consistent Estimation of Mixed Memberships with Successive Projections

Maxim Panov·Konstantin Slavnov·Roman Ushakov
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Abstract

This paper considers the parameter estimation problem in Mixed Membership Stochastic Block Model (MMSB), which is a quite general instance of random graph model allowing for overlapping community structure. We present the new algorithm successive projection overlapping clustering (SPOC) which combines the ideas of spectral clustering and geometric approach for separable non-negative matrix factorization. The proposed algorithm is provably consistent under MMSB with general conditions on the parameters of the model. SPOC is also shown to perform well experimentally in comparison to other algorithms.

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Maxim Panov, Konstantin Slavnov, Roman Ushakov. 2017-10-14. Consistent Estimation of Mixed Memberships with Successive Projections. https://doi.org/10.1007/978-3-319-72150-7_5

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