Exponential Parameterization and ε-Uniformly Sampled Reduced Data

Authors

Ryszard Kozera, Faculty of Applied Informatics and Mathematics, Warsaw University of Life Sciences - SGGW, Nowoursynowska str. 159, 02-776 Warsaw, PolandFollow
Lyle Noakes, School of Mathematics and Statistics, The University ofWestern Australia, 35 Stirling Highway, CrawleyW.A. 6009, Perth, AustraliaFollow

Author Country (or Countries)

Poland

Abstract

We study the quality of piecewise-quadratic Lagrange interpolation for nonparametric data based on e -uniform sampling and different forms of exponential parameterization. Surprisingly, it turns out that there is a sharp discontinuity in the quality of interpolation: exponential parameterization performs no better than a blind uniform guess, except for the case of scaled cumulative chord, which matches parametric interpolation.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/100104

Recommended Citation

Kozera, Ryszard and Noakes, Lyle (2016) "Exponential Parameterization and ε-Uniformly Sampled Reduced Data," Applied Mathematics & Information Sciences: Vol. 10: Iss. 1, Article 4.
DOI: http://dx.doi.org/10.18576/amis/100104
Available at: https://digitalcommons.aaru.edu.jo/amis/vol10/iss1/4