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Learning in Deep Radial Basis Function Networks [PDF]
EntropyLearning in neural networks with locally-tuned neuron models such as radial Basis Function (RBF) networks is often seen as instable, in particular when multi-layered architectures are used. Furthermore, universal approximation theorems for single-layered
Fabian Wurzberger, Friedhelm Schwenker
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Mathematics, 2021 The study develops the displacement error recovery method in a mesh free environment for the finite element solution employing the radial point interpolation (RPI) technique. The RPI technique uses the radial basis functions (RBF), along with polynomials
Mohd. Ahmed +3 more
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Application of Basis Functions for Hull Form Surface Modification
Journal of Marine Science and Engineering, 2021 Basis functions are key in constructing interpolation equations in hull surface modification based on radial basis functions (RBF) interpolation. However, few have studied the selection of basis functions in depth.
Baiwei Feng +4 more
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Basis Functions for a Transient Analysis of Linear Commensurate Fractional-Order Systems
Algorithms, 2023 In this paper, the possibilities of expressing the natural response of a linear commensurate fractional-order system (FOS) as a linear combination of basis functions are analyzed.
Dalibor Biolek +3 more
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Anatomically Informed Basis Functions [PDF]
NeuroImage, 2000 This paper introduces the general framework, concepts, and procedures of anatomically informed basis functions (AIBF), a new method for the analysis of functional magnetic resonance imaging (fMRI) data. In contradistinction to existing voxel-based univariate or multivariate methods the approach described here can incorporate various forms of prior ...
Kiebel, S., Goebel, R., Friston, K.
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Applied Sciences, 2020 In this article, a novel meshless method using space–time radial polynomial basis function (SRPBF) for solving backward heat conduction problems is proposed.
Cheng-Yu Ku +3 more
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Pattern Classification Based on RBF Networks with Self-Constructing Clustering and Hybrid Learning
Applied Sciences, 2020 Radial basis function (RBF) networks are widely adopted to solve problems in the field of pattern classification. However, in the construction phase of such networks, there are several issues encountered, such as the determination of the number of nodes ...
Zan-Rong He +4 more
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Entire-Domain Basis Function with Segmented Edge Condition Applied for Scattering Structures
Journal of Microwaves, Optoelectronics and Electromagnetic Applications, 2021 This paper proposes the formulation of a sinusoidal basis function with a novel segmented edge condition to model the impulsive behavior of the surface electric current density at the edges of rectangular microstrip scatterers.
Edson R. Schlosser +2 more
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Developing an Approach to Redesign Freeform Surfaces Using B-Spline Technique [PDF]
Engineering and Technology Journal, 2018 In product design process trends currently tend to use sculpture surface (freeform surface) that modeling by using (NURBS, B-spline, Bezier) technique to suit aesthetic, functional and manufacturability requirements.
Amjad Adulghafour, Ahmed Hassan
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MEASURES OF THE BASIS EFFICIENCY IN THE INTERNAL ROTATION PROBLEM
Физико-химические аспекты изучения кластеров, наноструктур и наноматериалов, 2020 Definition of the variational limit for the Schrodinger torsion equation solution was considered. Energies of levels and transitions at the variational limits were calculated for different basis sets.
A.N. Belov, V.V. Turovtsev, Yu.D. Orlov
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