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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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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Sparse multioutput radial basis function network construction using combined locally regularised orthogonal least square and D-optimality experimental design [PDF]
, 2003 A construction algorithm for multioutput radial basis function (RBF) network modelling is introduced by combining a locally regularised orthogonal least squares (LROLS) model selection with a D-optimality experimental design.
Harris, C. J. +3 more
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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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Fréchet algebras with orthogonal basis [PDF]
Colloquium Mathematicum, 1984 A basis \(\{e_ n\}\) in a topological algebra is called orthogonal if \(e_ ne_ m=\delta_{nm}e_ n\)- a concept introduced by this reviewer and studied in collaboration with others. In their paper [Can. J. Math. 29, 270-276 (1977; Zbl 0348.46036)], \textit{J.
Sawoń, Z., Wroński, Z.
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Construction of tunable radial basis function networks using orthogonal forward selection [PDF]
, 2009 An orthogonal forward selection (OFS) algorithm based on leave-one-out (LOO) criteria is proposed for the construction of radial basis function (RBF) networks with tunable nodes.
Harris, C. J. +7 more
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Grey-box radial basis function modelling [PDF]
, 2011 A fundamental principle in data modelling is to incorporate available a priori information regarding the underlying data generating mechanism into the modelling process.
Xia Hong +6 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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A tunable radial basis function model for nonlinear system identification using particle swarm optimisation [PDF]
, 2009 A tunable radial basis function (RBF) network model is proposed for nonlinear system identification using particle swarm optimisation (PSO). At each stage of orthogonal forward regression (OFR) model construction, PSO optimises one RBF unit's centre ...
Harris, C. J. +12 more
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Nonlocality of orthogonal product-basis quantum states [PDF]
Physical Review A, 2015 5 ...
Wang, Yan-Ling +3 more
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