Orthogonal least squares methods and their application to non-linear system identification
TLDR
Identification algorithms based on the well-known linear least squares methods of gaussian elimination, Cholesky decomposition, classical Gram-Schmidt, modified Gram- Schmidt, Householder transformation, Givens method, and singular value decomposition are reviewed.Abstract:
Identification algorithms based on the well-known linear least squares methods of gaussian elimination, Cholesky decomposition, classical Gram-Schmidt, modified Gram-Schmidt, Householder transformation, Givens method, and singular value decomposition are reviewed. The classical Gram-Schmidt, modified Gram-Schmidt, and Householder transformation algorithms are then extended to combine structure determination, or which terms to include in the model, and parameter estimation in a very simple and efficient manner for a class of multivariate discrete-time non-linear stochastic systems which are linear in the parameters.read more
Citations
More filters
Dissertation
Algorithmes d'approximation parcimonieuse inspirés d'Orthogonal Least Squares pour les problèmes inverses
TL;DR: Une premiere analyse de reconstruction exacte par OLS en k iterations est proposee, un eclairage sur le meilleur comportement d'OLS (par rapport a OMP) pour les problemes mal conditionnes.
Proceedings ArticleDOI
Parameter optimization of a fuzzy inference system using the FisPro open source software
TL;DR: A flexible optimization sequence that can be applied to any parameter of a fuzzy inference system, and criteria include system accuracy and coverage, is proposed.
Journal ArticleDOI
Spatiotemporal system identification on nonperiodic domains using Chebyshev spectral operators and system reduction algorithms.
Omid Khanmohamadi,Daolin Xu +1 more
TL;DR: A system identification methodology based on Chebyshev spectral operators and an orthogonal system reduction algorithm is proposed, leading to a new approach for data-driven modeling of nonlinear spatiotemporal systems on nonperiodic domains.
Proceedings ArticleDOI
Model reduction for process control using iterative nonlinear identification
Alejandro Vargas,Frank Allgöwer +1 more
TL;DR: Given a complex first principles model of a process, a strategy for model complexity reduction is developed, such that the model obtained is suitable for process control.
Journal ArticleDOI
Preparation of Polymer Microparticles Through Non-aqueous Suspension Polycondensations: Part III—Degradation of PBS Microparticles in Different Aqueous Environments
Luciana Dutra,Thiago de Souza Belan Costa,Victor Tozatto Verissimo Lobo,Thamiris Franckini Paiva,Márcio Nele,José Carlos Pinto +5 more
TL;DR: In this article, the degradation of poly(butylene succinate) (PBS) in different aqueous media, as PBS microparticles are intended for use in personal care and cosmetic applications, was investigated.
References
More filters
Book
Applied Regression Analysis
Norman R. Draper,Harry Smith +1 more
TL;DR: In this article, the Straight Line Case is used to fit a straight line by least squares, and the Durbin-Watson Test is used for checking the straight line fit.
Journal ArticleDOI
Singular value decomposition and least squares solutions
Gene H. Golub,C. Reinsch +1 more
TL;DR: The decomposition of A is called the singular value decomposition (SVD) and the diagonal elements of ∑ are the non-negative square roots of the eigenvalues of A T A; they are called singular values.
Book
Linear regression analysis
TL;DR: In this paper, the authors take into serious consideration the further development of regression computer programs that are efficient, accurate, and considered an important part of statistical research, and provide up-to-date accounts of computational methods and algorithms currently in use without getting entrenched in minor computing details.
Journal ArticleDOI
Input-output parametric models for non-linear systems Part II: stochastic non-linear systems
TL;DR: Recursive input-output models for non-linear multivariate discrete-time systems are derived, and sufficient conditions for their existence are defined.