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Spherical Radial Basis Functions
1998Abstract In this chapter we deal with spherical radial basis functions, i.e. kernel functions depending only on the (spherical) distance between unit vectors. The importance of our considerations lies in the development of general Sobolev spaces ℋ and (invariant) pseudodifferential operators Λ in which it is possible that (i) the radial ...
W Freeden, T Gervens, M Schreiner
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Median radial basis function neural network
IEEE Transactions on Neural Networks, 1996Radial basis functions (RBFs) consist of a two-layer neural network, where each hidden unit implements a kernel function. Each kernel is associated with an activation region from the input space and its output is fed to an output unit. In order to find the parameters of a neural network which embeds this structure we take into consideration two ...
A G, Bors, I, Pitas
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2007
This paper introduces new kernel radial basis functions (RBFs) which characterize partial differential equation problems of interest. Then we developed the meshfree collocation methods based on these kernel RBFs to solve benchmark Helmholtz, modified Helmholtz, and convection-diffusion problems.
W. Chen, H. Wang, Q. H. Qin
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This paper introduces new kernel radial basis functions (RBFs) which characterize partial differential equation problems of interest. Then we developed the meshfree collocation methods based on these kernel RBFs to solve benchmark Helmholtz, modified Helmholtz, and convection-diffusion problems.
W. Chen, H. Wang, Q. H. Qin
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Reconstruction and representation of 3D objects with radial basis functions
International Conference on Computer Graphics and Interactive Techniques, 2001J. Carr +6 more
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Radial Basis Function Networks
2018Radial basis function (RBF) networks represent a fundamentally different architecture from what we have seen in the previous chapters. All the previous chapters use a feed-forward network in which the inputs are transmitted forward from layer to layer in a similar fashion in order to create the final outputs.
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Deformable Radial Basis Functions
2007Radial basis function networks (RBF) are efficient general function approximators. They show good generalization performance and they are easy to train. Due to theoretical considerations RBFs commonly use Gaussian activation functions. It has been shown that these tight restrictions on the choice of possible activation functions can be relaxed in ...
Wolfgang Hübner, Hanspeter A. Mallot
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Radial Basis Functions Networks
2002The solution of complex mapping problems with artificial neural networks normally demands the use of a multi-layer network structure. This multi-layer topology process data into consecutive steps in each one of the layers. Radial Basis Functions networks are a particular neural network structure that uses radial functions in the intermediate, or hidden,
A. Braga +4 more
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Structural And Multidisciplinary Optimization, 2018
P. Wei, Zuyu Li, Xueping Li, M. Wang
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P. Wei, Zuyu Li, Xueping Li, M. Wang
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Radial-Basis Function Networks
2000This chapter deals with a special class of artificial neural networks (ANNs) called radial-basis function (RBF) networks. These networks derive their structure and interpretation from the theory of interpolation in multidimensional spaces, and have a mathematical foundation imbedded in regularization theory for solving ill-conditioned problems.
Rao S. Govindaraju, Bin Zhang
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