no code implementations • 16 Dec 2022 • Alex Elchesen, Iryna Hartsock, Jose A. Perea, Tatum Rask
Persistence diagrams are common descriptors of the topological structure of data appearing in various classification and regression tasks.
no code implementations • 14 Dec 2022 • Luis Scoccola, Hitesh Gakhar, Johnathan Bush, Nikolas Schonsheck, Tatum Rask, Ling Zhou, Jose A. Perea
The circular coordinates algorithm of de Silva, Morozov, and Vejdemo-Johansson takes as input a dataset together with a cohomology class representing a $1$-dimensional hole in the data; the output is a map from the data into the circle that captures this hole, and that is of minimum energy in a suitable sense.
