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Towards Stratified Space Learning: 2-complexes
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DOI：10.1007/s44007-025-00183-9.png)
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Abstract
En 中文
In this paper, we consider a simple class of stratified spaces - 2-complexes. We present an algorithm that learns the abstract structure of an embedded 2-complex from a point cloud sampled from it. We use tools and inspiration from computational geometry, algebraic topology, and topological data analysis and prove the correctness of the identified abstract structure under assumptions on the embedding.
Keywords:
Stratified space learning
Embedded spaces
Applied topology
Computational geometry
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30
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