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Indexed families of functionals, and Gaussian radial basis functions

The 2002 45th Midwest Symposium on Circuits and Systems, 2002. MWSCAS-2002., 2003
We report on results concerning the capabilities of gaussian radial basis function networks in the setting of inner product spaces that need not be finite dimensional. Specifically, we show that important indexed families of functionals can be uniformly approximated, with the approximation uniform also with respect to the index.
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Gradient Descent and Radial Basis Functions

2006
In this paper, we present experiments comparing different training algorithms for Radial Basis Functions (RBF) neural networks. In particular we compare the classical training which consists of an unsupervised training of centers followed by a supervised training of the weights at the output, with the full supervised training by gradient descent ...
Mercedes Fernández-Redondo   +2 more
openaire   +1 more source

Optimising the widths of radial basis functions

Proceedings 5th Brazilian Symposium on Neural Networks (Cat. No.98EX209), 2002
In the context of regression analysis with penalised linear models (such as RBF networks) certain model selection criteria can be differentiated to yield a re-estimation formula for the regularisation parameter such that an initial guess can be iteratively improved until a local minimum of the criterion is reached.
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Animated deformations with radial basis functions

Proceedings of the ACM symposium on Virtual reality software and technology - VRST '00, 2000
We present a novel approach to creating deformations of polygonal models using Radial Basis Functions (RBFs) to produce localized real-time deformations. Radial Basis Functions assume surface smoothness as a minimal constraint and animations produce smooth displacements of affected vertices in a model.
Jun-yong Noh   +2 more
openaire   +1 more source

Solving PDEs with radial basis functions

Acta Numerica, 2015
Finite differences provided the first numerical approach that permitted large-scale simulations in many applications areas, such as geophysical fluid dynamics. As accuracy and integration time requirements gradually increased, the focus shifted from finite differences to a variety of different spectral methods.
Bengt Fornberg, Natasha Flyer
openaire   +1 more source

Radial Basis Functions

2004
Radial basis functions are traditionaland powerful tools for multivariate scattered data interpolation.Much of the material presented in this chapter is essentially needed in the subsequent developments of this work,such as for the multi level approximation schemes in Chapter 5, and the mesh free simulation of transport processes in Chapter 6.
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Computationally Efficient Radial Basis Function

2018
We introduced a Square-law based RBF kernel called SQuare RBF (SQ-RBF) which is computationally efficient and effective due to the elimination of the exponential term. In contrast to the Gaussian RBF, SQ-RBF requires smaller computational operation count and direct implementation without a call to higher order library.
Adedamola Wuraola, Nitish D. Patel
openaire   +1 more source

On Monotonic Radial Basis Function Networks

IEEE Transactions on Cybernetics
This article deals with monotonicity conditions for radial basis function (RBF) networks. Two architectures of RBF networks are considered-1) unnormalized network with a local character of the basis function and 2) a normalized network where the value of RBF is taken relatively with respect to the others.
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Local modelling with radial basis function networks

Chemometrics and Intelligent Laboratory Systems, 2000
Beata Walczak
exaly  

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