NARX-based nonlinear system identification using orthogonal least squares basis hunting [PDF]
, 2008 An orthogonal least squares technique for basis hunting (OLS-BH) is proposed to construct sparse radial basis function (RBF) models for NARX-type nonlinear systems.
Wang, X.X. +2 more
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Fully complex-valued radial basis function networks: orthogonal least squares regression and classification [PDF]
, 2008 We consider a fully complex-valued radial basis function (RBF) network for regression and classification applications. For regression problems, the locally regularised orthogonal least squares (LROLS) algorithm aided with the D-optimality experimental ...
Hong, Xia +3 more
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Orthogonal bases in a topological algebra are Schauder bases
International Journal of Mathematics and Mathematical Sciences, 1992 In a topological algebra with separately continuous multiplication, the result quoted in the title is proved.
Subbash J. Bhatt, G. M. Deheri
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Cartesian symmetry classes associated with certain subgroups of $S_m$ [PDF]
International Journal of Group TheoryIn this paper, the problem existing $O$-basis for Cartesian symmetry classes is discussed. The dimensions of Cartesian symmetry classes associated with a cyclic subgroup of the symmetric group $S_m$ (generated by a product of disjoint cycles) and the ...
Seyyed Sadegh Gholami, Yousef Zamani
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Analysis of High-order Approximations by Spectral Interpolation Applied to One- and Two-dimensional Finite Element Method [PDF]
Journal of Applied and Computational Mechanics, 2020 The implementation of high-order (spectral) approximations associated with FEM is an approach to overcome the difficulties encountered in the numerical analysis of complex problems.
Luís Philipe Ribeiro Almeida +2 more
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Orthogonal least squares algorithm for training multi-output radial basis function networks [PDF]
, 1991 A constructive learning algorithm for multioutput radial basis function networks is presented. Unlike most network learning algorithms, which require a fixed network structure, this algorithm automatically determines an adequate radial basis function ...
S. Chen +8 more
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Sparse model identification using orthogonal forward regression with basis pursuit and D-optimality [PDF]
, 2004 An efficient model identification algorithm for a large class of linear-in-the-parameters models is introduced that simultaneously optimises the model approximation ability, sparsity and robustness. The derived model parameters in each forward regression
Harris, C. J. +5 more
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IN THE ISSUES OF MATHEMATICAL MODELLING LOGISTICS PROCESSES [PDF]
Acta Logistica, 2019 Mathematical modelling came to logistics from economics. Economic models have been used for quite some time, but the results obtained force us to develop new branches of the theory.
Alexander Lozhkin
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, 2003 A new construction algorithm for multi-output radial basis function (RBF) network modelling is introduce by combining a locally regularized orthogonal least squares (LROLS) model selection with a D-optimality experimental design.
Hong, X., Harris, C.J., Chen, S.
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Mathematical model of dynamics of moving objects based on quaternions
Технічна інженерія, 2019 One of the main tasks of managing groups of dynamic moving objects is to ensure their consistent movement in space. It is advisable to optimize the movements (motion) in space using mathematical models i.e. systems of equations of motion.
I.V. Puleko
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