标题： staged 树的等价类 显示英文标题

标题： Equivalence Classes of Staged Trees

摘要： 本文我们给出了CEG和分阶段树的统计等价类的完整刻画。我们能够证明同一模型的所有图形表示共享一个共同的多项式描述。然后，对该多项式进行简单的变换即可使我们遍历相应的图类。我们通过分析一个先前研究的数据集中的隐式依赖关系，展示了我们的研究成果。 显示英文摘要

摘要： In this paper we give a complete characterization of the statistical equivalence classes of CEGs and of staged trees. We are able to show that all graphical representations of the same model share a common polynomial description. Then, simple transformations on that polynomial enable us to traverse the corresponding class of graphs. We illustrate our results with a real analysis of the implicit dependence relationships within a previously studied dataset.