论文标题

通过Frank-Wolfe算法有效地优化主导集聚类

Efficient Optimization of Dominant Set Clustering with Frank-Wolfe Algorithms

论文作者

Johnell, Carl, Chehreghani, Morteza Haghir

论文摘要

我们研究Frank -Wolfe算法 - 标准,成对和离散的算法 - 有效地优化了主要的集合聚类。我们提出了一个统一和计算上有效的框架,以采用弗兰克 - 沃尔夫方法的不同变体,并通过几项实验研究研究了其有效性。此外,我们根据所谓的弗兰克·沃尔夫(Frank-Wolfe)差距为算法提供明确的收敛率。理论分析已专门用于占主导地位集群,并始终覆盖不同的变体。

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 Dominant Set Clustering and covers consistently the different variants.

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