Modélisation factorielle des interactions entre deux ensembles d'observations：la methode PLS-FILM（Partial Least Squares Factor Interaction Linear Modelling）
Modélisation factorielle des interactions entre deux ensembles d'observations : la méthode PLS-FILM (Partial Least Squares Factor Interaction Linear Modelling)
摘要：
在这项工作中，我们考虑一个数据数组编码的两组观察分别被称为“主题”和“对象”之间的相互作用。此外，通过两个变量集可以对主体和客体进行描述。我们提出了一个几何接地的探索性技术来分析使用的主体和对象的描述的相互作用：相互作用建模使用的主体因素和对象因素的层次结构建立从这些描述。我们的方法弥补了Chessel（RLQ分析）和Martens（L-PLS）之间的差距，尽管它只有秩1的成分与它们相同。
英文摘要：
In this work, we consider a data array encoding interactions between two sets of observations respectively referred to as "subjects" and "objects". Besides, descriptions of subjects and objects are available through two variable sets. We propose a geometrically grounded exploratory technique to analyze the interactions using descriptions of subjects and objects: interactions are modelled using a hierarchy of subject-factors and object-factors built up from these descriptions. Our method bridges the gap between those of Chessel (RLQ analysis) and Martens (L-PLS), although it only has rank 1 components in common with them.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
