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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., 2003We 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
2006In 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
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Optimising the widths of radial basis functions
Proceedings 5th Brazilian Symposium on Neural Networks (Cat. No.98EX209), 2002In 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, 2000We 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
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Solving PDEs with radial basis functions
Acta Numerica, 2015Finite 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
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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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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
2018We 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
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Radial Basis Functions: A Bayesian Treatment.
1998Item does not contain ...
Barber, D., Schottky, B.
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On Monotonic Radial Basis Function Networks
IEEE Transactions on CyberneticsThis 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, 2000Beata Walczak
exaly

