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cs.CG2026
Projected and Reflected Sliced Wasserstein Kernels for Persistence Diagrams
Julián Uribe Castañeda, Mircea Petrache
Persistence diagrams do not naturally live in a Hilbert space. Carrière, Cuturi, and Oudot embedded them in kernel methods through the Sliced Wasserstein kernel, built from the Sli…
cs.CG2024
A Class of Topological Pseudodistances for Fast Comparison of Persistence Diagrams
Rolando Kindelan Nuñez, Mircea Petrache, Mauricio Cerda +1
Persistence diagrams (PD)s play a central role in topological data analysis, and are used in an ever increasing variety of applications. The comparison of PD data requires computin…