@inproceedings{9aa34be73c894d0cbce7401b2f31a43b,
title = "Non-Generic Case of Leap-Frog for Optimal Knots Selection in Fitting Reduced Data",
abstract = "The problem of fitting multidimensional reduced data is analyzed here. The missing interpolation knots T are substituted by T^ which minimize a non-linear multivariate function J0. One of numerical schemes designed to compute such optimal knots relies on iterative scheme called Leap-Frog Algorithm. The latter is based on merging the respective generic and non-generic univariate overlapping optimizations of J0(k,i). The discussion to follow establishes the sufficient conditions enforcing unimodality of the non-generic case of J0(k,i) (for special data set-up and its perturbation). Illustrative example supplements the analysis in question. This work complements already existing analysis on generic case of Leap-Frog Algorithm.",
keywords = "Curve modelling, Data fitting, Optimization",
author = "Ryszard Kozera and Lyle Noakes",
year = "2022",
doi = "10.1007/978-3-031-08757-8_29",
language = "English",
isbn = "9783031087561",
series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
publisher = "Springer Science + Business Media",
pages = "341--354",
editor = "Derek Groen and {de Mulatier}, Cl{\'e}lia and Krzhizhanovskaya, {Valeria V.} and Sloot, {Peter M.A.} and Maciej Paszynski and Dongarra, {Jack J.}",
booktitle = "Computational Science - ICCS 2022, 22nd International Conference, Proceedings",
address = "United States",
note = "22nd Annual International Conference on Computational Science, ICCS 2022, ICCS 2022 ; Conference date: 21-06-2022 Through 23-06-2022",
}