ON THE CHRISTOFFEL FUNCTION AND CLASSIFICATION IN DATA ANALYSIS - LAAS - Laboratoire d'Analyse et d'Architecture des Systèmes
Journal Articles Comptes Rendus. Mathématique Year : 2022

ON THE CHRISTOFFEL FUNCTION AND CLASSIFICATION IN DATA ANALYSIS

Abstract

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.

Domains

Optimization and Control [math.OC] Statistics Theory [stat.TH]
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Jean Bernard Lasserre  : Connect in order to contact the contributor

https://laas.hal.science/hal-03620965

Submitted on : Friday, December 9, 2022-4:49:07 PM

Last modification on : Thursday, May 2, 2024-3:29:26 PM

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Dates and versions

hal-03620965 , version 1 (27-03-2022)
hal-03620965 , version 2 (09-12-2022)

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Jean-Bernard Lasserre. ON THE CHRISTOFFEL FUNCTION AND CLASSIFICATION IN DATA ANALYSIS. Comptes Rendus. Mathématique, 2022, 360, pp.919--928. ⟨10.5802/crmath.358⟩. ⟨hal-03620965v2⟩

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