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
Published in:	Comptes Rendus. Mathématique
Main Author:	Lasserre, Jean B.
Format:	Article
Language:	English
Published:	Académie des sciences 2022-09-01
Online Access:	https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.358/

Similar Items

A disintegration of the Christoffel function
by: Lasserre, Jean B.
Published: (2022-09-01)

Estimation of weighted Christoffel functions(关于加权Christoffel函数的估计)
by: ZHANGRen-jiang(章仁江)
Published: (2001-09-01)

Christoffel Lubienietski’s portret van Arnoud van Halen
by: P. J. J. van Thiel
Published: (1978-03-01)

Weighted quadrature formulae of Gauss-Christoffel-Stancu type
by: Dimitrie D. Stancu, et al.
Published: (2003-08-01)

The Schwarz-Christoffel Conformal Mapping for “Polygons” with Infinitely Many Sides
by: Gonzalo Riera, et al.
Published: (2008-01-01)

Het gedenkteken voor de grenadier Christoffel Pullmann in het Rijksmuseum
by: W. H. P. Scholten
Published: (1987-12-01)

David Christoffel, Ouvrez la tête (ma thèse sur Satie)
by: Julien Labia
Published: (2018-09-01)

Multivariable Christoffel-Darboux Kernels and Characteristic Polynomials of Random Hermitian Matrices
by: Hjalmar Rosengren
Published: (2006-12-01)

A Parametric Method of Finding Accessory Parameters for the Generalized Schwarz--Christoffel Integrals
by: N.N. Nakipov, et al.
Published: (2016-06-01)

A weighted gradient estimate for solutions of $ L^p $ Christoffel-Minkowski problem
by: Pengfei Guan
Published: (2023-09-01)

An Affine Model of a Riemann Surface Associated to a Schwarz–Christoffel Mapping
by: Richard Cushman
Published: (2021-04-01)

Numerical solution method for Schwarz Christoffel transformation from unit circle to arbitrary polygon area(单位圆到任意多边形区域的Schwarz Christoffel变换数值解法)
by: CUIJianbin(崔建斌), et al.
Published: (2017-03-01)

Twee monogrammisten in rijksbezit geïdentificeerd. Christoffel van den Berghe en misschien Jan Vosmaer
by: F. G. Meijer
Published: (1994-06-01)

A New Type of Shape-Invariant Beams with Structured Coherence: Laguerre-Christoffel-Darboux Beams
by: Rosario Martínez-Herrero, et al.
Published: (2021-04-01)

A Two-Dimensional Liquid Sloshing Analysis in a Partially Filled Complicated-Shape Tank by the Schwarz–Christoffel Transformation
by: Jing Lü, et al.
Published: (2024-04-01)

Sandra Langereis, De woordenaar. Christoffel Plantijn, ‘s werelds grootste drukker en uitgever (1520-1589)
by: Raingard Esser
Published: (2015-04-01)

Een documentaire schenking uit de nalatenschap van de zilversmid Christoffel Mittscherlich (1740-1793)
by: J. R. de Lorm
Published: (1992-09-01)

Hans Jacob Christoffel von Grimmelshausen, Werke II. Grimmelshausen satirische Schriften; historische und Legendenromane
by: Maria do Carmo M. Waizbort
Published: (1998-11-01)

Music Genre Classification Based on Functional Data Analysis
by: Jiahong Shen, et al.
Published: (2024-01-01)

Gaussian mixtures closest to a given measure via optimal transport
by: Lasserre, Jean B.
Published: (2024-11-01)

Pell’s equation, sum-of-squares and equilibrium measures on a compact set
by: Lasserre, Jean B.
Published: (2023-07-01)

Joël au quotidien
by: Jean-Claude Lasserre
Published: (2012-01-01)

Classification by Estimating the Cumulative Distribution Function for Small Data
by: Meng-Xian Zhu, et al.
Published: (2023-01-01)

Implementation of quantum stochastic walks for function approximation, two-dimensional data classification, and sequence classification
by: Lu-Ji Wang, et al.
Published: (2022-04-01)

Classification of Urban Functional Zones Based on Multiple Data Sources
by: Liu Nian
Published: (2024-01-01)

Condition monitoring and multi-fault classification of hydraulic systems using multivariate functional data analysis
by: Cevahir Yildirim, et al.
Published: (2025-01-01)

Classification of long-term care wards and their functional characteristics: analysis of national hospital data in Japan
by: Ayumi Igarashi, et al.
Published: (2018-08-01)

Raw-Data Driven Functional Data Analysis with Multi-Adaptive Functional Neural Networks for Ergonomic Risk Classification Using Facial and Bio-Signal Time-Series Data
by: Suyeon Kim, et al.
Published: (2025-07-01)

by: Henrion, Didier, et al.
Published: (2025-06-01)

by: Henrion, Didier, et al.
Published: (2025-06-01)

Performance analysis of data resampling on class imbalance and classification techniques on multi-omics data for cancer classification.
by: Yuting Yang, et al.
Published: (2024-01-01)

A Multi-Source Data-Driven Analysis of Building Functional Classification and Its Relationship with Population Distribution
by: Dongfeng Ren, et al.
Published: (2024-11-01)

Data analysis with performance and privacy enhanced classification
by: Tajanpure Rupali, et al.
Published: (2023-05-01)

Functional Classification of Urban Parks Based on Urban Functional Zone and Crowd-Sourced Geographical Data
by: Su Cao, et al.
Published: (2021-12-01)

Classification of microarray data using gene networks
by: Dutreix Marie, et al.
Published: (2007-02-01)

Using multiplexed functional data to reduce variant classification inequities in underrepresented populations
by: Moez Dawood, et al.
Published: (2024-12-01)

Asymmetric gradient penalty based on power exponential function for imbalanced data classification
by: Linyong Zhou, et al.
Published: (2023-09-01)

Functional data geometric morphometrics with machine learning for craniodental shape classification in shrews
by: Aneesha Balachandran Pillay, et al.
Published: (2024-07-01)

Distributed data storage systems: analysis, classification and choice
by: Alexander Tormasov, et al.
Published: (2018-10-01)

Trajectory Classification Through Topological Data Analysis Perspectives
by: Miriam Esteve, et al.
Published: (2025-01-01)