基于拓扑学算法的 2 层正交数组的同构性检查
统计计算
2024-10-01 v1 代数拓扑
摘要
我们提出一种基于拓扑数据分析 (TDA) 的构造方法和算法，以解决正交数组 (OA) 同构性检查的问题。具体而言，我们将每个二进制 OA 关联到一个持久图，这是 TDA 的主要工具之一，并探讨如何利用持久图之间的 Wasserstein 距离来判断两个设计是否同构。
关键词
引用
@article{arxiv.2409.20077,
title = {A topology-based algorithm for the isomorphism check of 2-level Orthogonal Arrays},
author = {Roberto Fontana and Marco Guerra},
journal= {arXiv preprint arXiv:2409.20077},
year = {2024}
}
备注
This preprint has not undergone peer review or any post-submission improvements or corrections. The Version of Record of this contribution has been accepted for publication in Springer, Methodological and Applied Statistics and Demography I. SIS 2024, Short Papers, Plenary and Specialized Sessions - Ed. A. Pollice, P. Mariani (to appear Nov 24)