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arXiv · 1804.08548

Eigenvector Computation and Community Detection in Asynchronous Gossip Models

Frederik Mallmann-Trenn·Cameron Musco·Christopher Musco
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Abstract

We give a simple distributed algorithm for computing adjacency matrix eigenvectors for the communication graph in an asynchronous gossip model. We show how to use this algorithm to give state-of-the-art asynchronous community detection algorithms when the communication graph is drawn from the well-studied stochastic block model. Our methods also apply to a natural alternative model of randomized communication, where nodes within a community communicate more frequently than nodes in different communities. Our analysis simplifies and generalizes prior work by forging a connection between asynchronous eigenvector computation and Oja's algorithm for streaming principal component analysis. We hope that our work serves as a starting point for building further connections between the analysis of stochastic iterative methods, like Oja's algorithm, and work on asynchronous and gossip-type algorithms for distributed computation.

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Frederik Mallmann-Trenn, Cameron Musco, Christopher Musco. 2018-04-23. Eigenvector Computation and Community Detection in Asynchronous Gossip Models. https://arxiv.org/abs/1804.08548

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