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math.AT2026
Density-Robust Spherical Coordinates from Persistent Cohomology
Nick Nordwald, Inés GarcÃa-Redondo, Anthea Monod
Persistent cohomology provides a principled framework for constructing nonlinear coordinates that reflect the topology of data. However, these topological coordinates can be severe…
math.AT2025
Generalized Persistent Laplacians and their Spectral Properties
Arne Wolf, Jiyu Fan, Anthea Monod
Laplacian operators are classical objects that are fundamental in both pure and applied mathematics and are becoming increasingly prominent in modern computational and data science…