99 citations · 157 across the 39 of their papers we have counts for
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Density-Robust Spherical Coordinates from Persistent Cohomology
Nick Nordwald, Inés García-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…
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…
Generalized Morse Theory of Distance Functions to Surfaces for Persistent Homology
Anna Song, Ka Man Yim, Anthea Monod
This paper brings together three distinct theories with the goal of quantifying shape textures with complex morphologies. Distance fields are central objects in shape representatio…
Stability for Inference with Persistent Homology Rank Functions
Qiquan Wang, Inés García-Redondo, Pierre Faugère +2
Persistent homology barcodes and diagrams are a cornerstone of topological data analysis that capture the "shape" of a wide range of complex data structures, such as point clouds,…
Fast Topological Signal Identification and Persistent Cohomological Cycle Matching
Inés García-Redondo, Anthea Monod, Anna Song
Within the context of topological data analysis, the problems of identifying topological significance and matching signals across datasets are important and useful inferential task…