Persistence B-spline grids: stable vector representation of persistence diagrams based on data fitting

Many attempts have been made in recent decades to integrate machine learning (ML) and topological data analysis. A prominent problem in applying persistent homology to ML tasks is finding a vector representation of a persistence diagram (PD), which is a summary diagram for representing topological f...

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Veröffentlicht in:Machine learning 2024-03, Vol.113 (3), p.1373-1420
Hauptverfasser: Dong, Zhetong, Lin, Hongwei, Zhou, Chi, Zhang, Ben, Li, Gengchen
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Sprache:eng
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