On the Christoffel function and classification in data analysis

We show that the empirical Christoffel function associated with a cloud of finitely many points sampled from a distribution, can provide a simple tool for supervised classification in data analysis, with good generalization properties.

Bibliographic Details
Main Author: Lasserre, Jean B.
Format: Article
Language:English
Published: Académie des sciences 2022-09-01
Series:Comptes Rendus. Mathématique
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.358/
Description
Summary:We show that the empirical Christoffel function associated with a cloud of finitely many points sampled from a distribution, can provide a simple tool for supervised classification in data analysis, with good generalization properties.
ISSN:1778-3569