论文标题
独立性与不确定性：两个规范聚类标准的基础
Independence versus Indetermination: basis of two canonical clustering criteria
论文作者
论文摘要
本文旨在比较两种耦合方法作为建筑聚类标准的基本层，适合模块化和聚类非常大的网络。我们将“最佳运输理论”简要介绍为起点，也是一种方式来推导两个规范的耦合：“统计独立性”和“逻辑不确定”。提供了对称属性的对称列表，尤其是所谓的“ Monge的属性”，应用于应急矩阵，并证明$ \ otimes $ vess $ \ oplus $ note法。提出了一项研究，突出了“逻辑不确定性”，因为到目前为止，它鲜为人知。最终，我们将两个耦合之间的平均差异估计为它们通常在网络聚类中的关键解释。
This paper aims at comparing two coupling approaches as basic layers for building clustering criteria, suited for modularizing and clustering very large networks. We briefly use "optimal transport theory" as a starting point, and a way as well, to derive two canonical couplings: "statistical independence" and "logical indetermination". A symmetric list of properties is provided and notably the so called "Monge's properties", applied to contingency matrices, and justifying the $\otimes$ versus $\oplus$ notation. A study is proposed, highlighting "logical indetermination", because it is, by far, lesser known. Eventually we estimate the average difference between both couplings as the key explanation of their usually close results in network clustering.
