论文标题
一种用于软聚类比较和评估的分布方法
A Distributional Approach for Soft Clustering Comparison and Evaluation
论文作者
论文摘要
软聚类（SC）的外部评估标准的发展已受到有限的关注：现有方法没有提供将比较度量扩展到SC的一般方法，并且无法说明SC算法结果中所代表的不确定性。在本文中，我们提出了一种解决这些局限性的一般方法，基于将SC作为硬聚类分布的新解释为基础，我们称之为\ emph {分布度量}。我们提供了对所提出方法的复杂性和度量理论特性的深入研究，并描述了可以使计算可进行的近似技术。最后，我们通过一个简单但说明性的实验来说明我们的方法。
The development of external evaluation criteria for soft clustering (SC) has received limited attention: existing methods do not provide a general approach to extend comparison measures to SC, and are unable to account for the uncertainty represented in the results of SC algorithms. In this article, we propose a general method to address these limitations, grounding on a novel interpretation of SC as distributions over hard clusterings, which we call \emph{distributional measures}. We provide an in-depth study of complexity- and metric-theoretic properties of the proposed approach, and we describe approximation techniques that can make the calculations tractable. Finally, we illustrate our approach through a simple but illustrative experiment.
