44 citations · 109 across the 21 of their papers we have counts for
Showing 2022Show all
3 papers · 1 filter
cs.CG2022★ 1 cited
Learning on Persistence Diagrams as Radon Measures
Alex Elchesen, Iryna Hartsock, Jose A. Perea +1
Persistence diagrams are common descriptors of the topological structure of data appearing in various classification and regression tasks. They can be generalized to Radon measures…
cs.CG2022
Toroidal Coordinates: Decorrelating Circular Coordinates With Lattice Reduction
Luis Scoccola, Hitesh Gakhar, Johnathan Bush +4
The circular coordinates algorithm of de Silva, Morozov, and Vejdemo-Johansson takes as input a dataset together with a cohomology class representing a -dimensional hole in the…
cs.CG2022
FibeRed: Fiberwise Dimensionality Reduction of Topologically Complex Data with Vector Bundles
Luis Scoccola, Jose A. Perea
Datasets with non-trivial large scale topology can be hard to embed in low-dimensional Euclidean space with existing dimensionality reduction algorithms. We propose to model topolo…