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A parallel ADMM-based convex clustering method

Authors: Fodor, Lidija; Jakovetić, Dušan; Boberić-Krstićev, Danijela; Škrbić, Srđan;

A parallel ADMM-based convex clustering method

Abstract

Abstract Convex clustering has received recently an increased interest as a valuable method for unsupervised learning. Unlike conventional clustering methods such as k-means, its formulation corresponds to solving a convex optimization problem, and hence alleviates initialization and local minima problems. However, while several algorithms have been proposed to solve convex clustering formulations, including those based on the alternating direction method of multipliers (ADMM), there is currently a limited body of work on developing scalable parallel and distributed algorithms and solvers for convex clustering. In this paper, we develop a parallel, ADMM-based method for convex clustering for master-worker architectures, where the data to be clustered is partitioned across a number of worker nodes, and we provide its efficient, open-source implementation (available on [1]) for high performance computing (HPC) cluster environments. Extensive numerical evaluations on real and synthetic data sets demonstrate a high degree of scalability and efficiency of the method, when compared with existing alternative solvers for convex clustering.

Keywords

TK7800-8360, Performance evaluation, Telecommunication, TK5101-6720, Electronics, ADMM, High-performance computing, Distributed optimization

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popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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impulse
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