Work

Caratheodory-Tchakaloff Subsampling

Year: 2016

Type: preprint

Abstract: We present a brief survey on the compression of discrete measures by Caratheodory-Tchakaloff Subsampling, its implementation by Linear or Quadratic Programming and the application to multivariate polynomial Least Squares. We also give an algorithm that computes the corresponding Caratheodory-Tchakaloff (CATCH) points and weights for polynomial spaces on compact sets and manifolds in 2D and 3D.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1611.02065

Authors: Piazzon, Federico, Sommariva, Alvise, Vianello, Marco

Institution: University of Padua

Language: English

Topic: Mathematical functions and polynomials

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Istituto Nazionale di Alta Matematica "Francesco Severi", Università degli Studi di Padova, Gruppo Nazionale per il Calcolo Scientifico

Awards: G3579591658, G7455170322

OpenAlex ID: W2556184682

Cites: 6

Cited by:

Related to: 20