Partial linearization of one class of the nonlinear total least squares problem by using the inverse model function

被引：22
|
作者：
Jukic, D
Scitovski, R
Späth, H
机构：
[1] Fac Food Technol, Dept Math, HR-31000 Osijek, Croatia
[2] Fac Elect Engn, Dept Math, HR-31000 Osijek, Croatia
[3] Carl von Ossietzky Univ Oldenburg, Fachbereich Math, D-26111 Oldenburg, Germany
来源：
COMPUTING | 1999年 / 62卷 / 02期
关键词：
nonlinear total least squares; errors in variables; orthogonal least squares fitting;
D O I：
10.1007/s006070050019
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this paper we consider a special nonlinear total least squares problem, where the model function is of the form f(x; a, b) = phi(-1) (ax + b). Using the fact that after an appropriate substitution, the model function becomes linear in parameters, and that the symmetry preserves the distances, this nonlinear total least squares problem can be greatly simplified. In this paper we give the existence theorem, propose an efficient algorithm for searching the parameters and give some numerical examples.
引用
收藏
页码：163 / 178
页数：16
相关论文
共 50 条
  • [31] Handling multiblock data in wine authenticity by sequentially orthogonalized one class partial least squares
    Gomes, Adriano A.
    Khvalbota, Liudmyla
    Onca, Larisa
    Machynakova, Andrea
    Spanik, Ivan
    FOOD CHEMISTRY, 2022, 382
  • [32] Mixed and componentwise condition numbers for a linear function of the solution of the total least squares problem
    Diao, Huai-An
    Sun, Yang
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2018, 544 : 1 - 29
  • [33] Active Appearance Model Search Using Partial Least Squares Regression
    Ge, Yongxin
    Min, Chen
    Jaaersand, Martin
    Yang, Dan
    2015 VISUAL COMMUNICATIONS AND IMAGE PROCESSING (VCIP), 2015,
  • [34] Detection of flaxseed oil multiple adulteration by near-infrared spectroscopy and nonlinear one class partial least squares discriminant analysis
    Yuan, Zhe
    Zhang, Liangxiao
    Wang, Du
    Jiang, Jun
    Harrington, Peter de B.
    Mao, Jin
    Zhang, Qi
    Li, Peiwu
    LWT-FOOD SCIENCE AND TECHNOLOGY, 2020, 125 (125)
  • [35] Solution of an inverse vibration problem using a linear least-squares error method
    Yang, CY
    APPLIED MATHEMATICAL MODELLING, 1996, 20 (10) : 785 - 788
  • [36] Inverse model formulation of partial least-squares regression: A robust neural network approach
    Ham, FM
    McDowall, TM
    APPLICATIONS AND SCIENCE OF COMPUTATIONAL INTELLIGENCE, 1998, 3390 : 36 - 47
  • [37] Adaptive truncated total least squares on distorted Born iterative method in ultrasound inverse scattering problem
    Carevic, Anita
    Yun, Xingzhao
    Almekkawy, Mohamed
    MEDICAL IMAGING 2019: ULTRASONIC IMAGING AND TOMOGRAPHY, 2019, 10955
  • [38] NONLINEAR PROCESS MODELING AND OPTIMIZATION BASED ON MULTIWAY KERNEL PARTIAL LEAST SQUARES MODEL
    Di, Liqing
    Xiong, Zhihua
    Yang, Xianhui
    2008 WINTER SIMULATION CONFERENCE, VOLS 1-5, 2008, : 1645 - 1651
  • [39] Parameter-free nonlinear partial least squares regression model for image classification
    Chen, Haoran
    Wang, Jiafan
    Tao, Hongwei
    Li, Zuhe
    Wang, Yunyang
    JOURNAL OF ELECTRONIC IMAGING, 2023, 32 (06)
  • [40] Disaggregation of Preisach hysteresis model and nonlinear function least-squares fit
    Maciuca, Dragos
    Vasudevan, Gopal
    ADAPTIVE OPTICS SYSTEMS, PTS 1-3, 2008, 7015
12345