RT Journal Article
SR 00
ID 10.3934/naco.2024011
A1 Lasserre, Jean-Bernard
T1 The Christoffel function: Applications, connections and extensions
JF Numerical Algebra, Control and Optimization
YR 2024
FD 2024-03
AB We provide an introduction to the Christoffel function (CF), a well-known (and old) tool from the theory of approximation and orthogonal polynomials. We then describe how it provides a simple and easy-to-use tool to address some problems in data analysis and mining, and in approximation and interpolation of discontinuous functions. Finally we also reveal some surprising links of the CF with seemingly different disciplines, including polynomial optimization, positivity certificates, and equilibrium measures of compact sets.
PB American Institute of Mathematical Sciences
SN 2155-3289
LK https://publications.ut-capitole.fr/id/eprint/50348/
UL http://tse-fr.eu/pub/130273