research
∙
09/14/2023
Malicious Cyber Activity Detection Using Zigzag Persistence
In this study we synthesize zigzag persistence from topological data ana...
share
research
∙
07/06/2023
Computable Stability for Persistence Rank Function Machine Learning
Persistent homology barcodes and diagrams are a cornerstone of topologic...
research
∙
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...
research
∙
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)...
research
∙
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...
research
∙
09/09/2018
