44 citations · 109 across the 21 of their papers we have counts for
4 papers · 1 filter
Adaptive template systems: Data-driven feature selection for learning with persistence diagrams
Luis Polanco, Jose A. Perea
Feature extraction from persistence diagrams, as a tool to enrich machine learning techniques, has received increasing attention in recent years. In this paper we explore an adapti…
Künneth Formulae in Persistent Homology
Hitesh Gakhar, Jose A. Perea
The classical Künneth formula in algebraic topology describes the homology of a product space in terms of that of its factors. In this paper, we prove Künneth-type theorems for the…
Coordinatizing Data With Lens Spaces and Persistent Cohomology
Luis Polanco, Jose A. Perea
We introduce here a framework to construct coordinates in \emph{finite} Lens spaces for data with nontrivial 1-dimensional persistent cohomology, . Said coo…
Approximating Continuous Functions on Persistence Diagrams Using Template Functions
Jose A. Perea, Elizabeth Munch, Firas A. Khasawneh
The persistence diagram is an increasingly useful tool from Topological Data Analysis, but its use alongside typical machine learning techniques requires mathematical finesse. The…