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09/14/2023
Malicious Cyber Activity Detection Using Zigzag Persistence
In this study we synthesize zigzag persistence from topological data ana...
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07/06/2023
Computable Stability for Persistence Rank Function Machine Learning
Persistent homology barcodes and diagrams are a cornerstone of topologic...
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10/27/2021
Algorithmic Reconstruction of the Fiber of Persistent Homology on Cell Complexes
Let K be a finite simplicial, cubical, delta or CW complex. The persiste...
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08/19/2021
U-match factorization: sparse homological algebra, lazy cycle representatives, and dualities in persistent (co)homology
Persistent homology is a leading tool in topological data analysis (TDA)...
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05/14/2021
Minimal Cycle Representatives in Persistent Homology using Linear Programming: an Empirical Study with User's Guide
Cycle representatives of persistent homology classes can be used to prov...
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09/09/2018