Efficient Optimization of Dominant Set Clustering with Frank-Wolfe Algorithms

• URL: http://arxiv.org/abs/2007.11652v2
• Date: Wed, 5 Aug 2020 10:55:21 GMT
• Title: Efficient Optimization of Dominant Set Clustering with Frank-Wolfe Algorithms
• Authors: Carl Johnell, Morteza Haghir Chehreghani
• Abstract summary: We study Frank-Wolfe algorithms -- standard, pairwise, and away-steps -- for efficient optimization of Dominant Set Clustering. We present a unified and computationally efficient framework to employ the different variants of Frank-Wolfe methods.
• Score: 4.873362301533825
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We study Frank-Wolfe algorithms -- standard, pairwise, and away-steps -- for efficient optimization of Dominant Set Clustering. We present a unified and computationally efficient framework to employ the different variants of Frank-Wolfe methods, and we investigate its effectiveness via several experimental studies. In addition, we provide explicit convergence rates for the algorithms in terms of the so-called Frank-Wolfe gap. The theoretical analysis has been specialized to the problem of Dominant Set Clustering and is thus more easily accessible compared to prior work.

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