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AN ORTHOGONAL BASIS OF A LOCAL FIELD
Mathematics of the USSR-Izvestiya, 1973An effective construction is given of an orthogonal basis for a local field, starting from the Safarevic basis.Bibliography: 4 titles.
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Orbital‐orthogonality constraints and basis‐set optimization
Journal of Computational Chemistry, 2006AbstractA new procedure is presented for introducing arbitrary orbital‐orthogonality constraints in the variational optimization of otherwise nonorthogonal multiconfiguration electronic wave functions. It is based on suitable analytical changes to the expressions for the first and second derivatives of the electronic energy with respect to the ...
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Basis of irreducible representations of orthogonal groups
Few-Body Systems, 1989A method for constructing a basis of irreducible representations of unitary groupsUn is generalized to orthogonal groupsOn. The corresponding algorithm is given for the chain for groupsUn ⊃On and also for the chain which is of great relevance in physics.
T. Babutsidze +3 more
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Stochastic orthogonal and nonorthogonal subspace basis pursuit
2009 International Joint Conference on Neural Networks, 2009Component analysis, or basis methods, provide a lower-dimensional representation of a given data set for compression, compaction, or discrimination. Stochastic basis pursuit addresses the problem of finding an optimal basis, either orthogonal or nonorthogonal, for improved pattern discrimination for pattern recognition applications.
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Orthogonal functional basis neural network for functional approximation
Proceedings of International Conference on Neural Networks (ICNN'97), 2002Subset selection is a well-known technique for generating an efficient and effective neural network structure. The technique has been combined with regularization to improve the generalization performance of a neural network. In this paper, we show an incongruity involving subset selection and regularization.
C. L. Philip Chen +2 more
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Journal of Molecular Structure: THEOCHEM, 1989
Abstract In this article some properties of the spin-free orthogonal m basis are shown and the similarities and differences between the Wigner basis and this orthogonal m basis are discussed.
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Abstract In this article some properties of the spin-free orthogonal m basis are shown and the similarities and differences between the Wigner basis and this orthogonal m basis are discussed.
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The Recursion Method with a Non-Orthogonal Basis
1987The problems involved in applying the recursion method to a hamiltonian with non-orthogonal basis functions are described. Methods of calculating both the local density of states and the charge density are given. The latter is most easily calculated using a block tridiagonalisation scheme. The method is illustrated for diamond.
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A Group of Orthogonal Basis Based on UE-Bézier Basis.
2023Mei-e Fang, Guozhao Wang, Weiyin Ma
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Global sensitivity analysis using orthogonal augmented radial basis function
Reliability Engineering and System Safety, 2019Zeping Wu, Donghui Wang, Kun Zhao
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