A numerical measure of the instability of Mapper-type algorithms

1 code implementation • 4 Jun 2019 • Francisco Belchí, Jacek Brodzki, Matthew Burfitt, Mahesan Niranjan

We define an intrinsic notion of Mapper instability that measures the variability of the output as a function of the choice of parameters required to construct a Mapper output.

Clustering Vocal Bursts Type Prediction

Optimising the topological information of the $A_\infty$-persistence groups

no code implementations • 19 Jun 2017 • Francisco Belchí

Persistent homology typically studies the evolution of homology groups $H_p(X)$ (with coefficients in a field) along a filtration of topological spaces.