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arXiv · 2409.20077

A topology-based algorithm for the isomorphism check of 2-level Orthogonal Arrays

Roberto Fontana·Marco Guerra
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Abstract

We introduce a construction and an algorithm, both based on Topological Data Analysis (TDA), to tackle the problem of the isomorphism check of Orthogonal Arrays (OAs). Specifically, we associate to any binary OA a persistence diagram, one of the main tools in TDA, and explore how the Wasserstein distance between persistence diagrams can be used to inform whether two designs are isomorphic.

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Roberto Fontana, Marco Guerra. 2024-09-30. A topology-based algorithm for the isomorphism check of 2-level Orthogonal Arrays. https://arxiv.org/abs/2409.20077

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