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TIT
2008
123views more  TIT 2008»
13 years 3 months ago
Geometric Upper Bounds on Rates of Variable-Basis Approximation
In this paper, approximation by linear combinations of an increasing number n of computational units with adjustable parameters (such as perceptrons and radial basis functions) is ...
Vera Kurková, Marcello Sanguineti
ADCM
2005
163views more  ADCM 2005»
13 years 3 months ago
Matrix-valued radial basis functions: stability estimates and applications
Radial basis functions (RBFs) have found important applications in areas such as signal processing, medical imaging, and neural networks since the early 1980's. Several appli...
Svenja Lowitzsch
SIAMSC
2008
191views more  SIAMSC 2008»
13 years 3 months ago
ORBIT: Optimization by Radial Basis Function Interpolation in Trust-Regions
Abstract. We present a new derivative-free algorithm, ORBIT, for unconstrained local optimization of computationally expensive functions. A trust-region framework using interpolati...
Stefan M. Wild, Rommel G. Regis, Christine A. Shoe...
EOR
2007
100views more  EOR 2007»
13 years 3 months ago
Parallel radial basis function methods for the global optimization of expensive functions
We introduce a master–worker framework for parallel global optimization of computationally expensive functions using response surface models. In particular, we parallelize two r...
Rommel G. Regis, Christine A. Shoemaker
CVGIP
2007
187views more  CVGIP 2007»
13 years 3 months ago
Facial motion cloning with radial basis functions in MPEG-4 FBA
Facial Motion Cloning (FMC) is the technique employed to transfer the motion of a virtual face (namely the source) to a mesh representing another face (the target), generally havi...
Marco Fratarcangeli, Marco Schaerf, Robert Forchhe...
COMPUTING
2006
162views more  COMPUTING 2006»
13 years 3 months ago
Numerical Cubature on Scattered Data by Radial Basis Functions
We study cubature formulas on relatively small scattered samples in the unit square, obtained by integrating radial basis function (RBF) interpolants. Numerical tests show that, d...
Alvise Sommariva, Marco Vianello
CAGD
2006
90views more  CAGD 2006»
13 years 3 months ago
Local hybrid approximation for scattered data fitting with bivariate splines
We suggest a local hybrid approximation scheme based on polynomials and radial basis functions, and use it to modify the scattered data fitting algorithm of [7]. Similar to that a...
Oleg Davydov, Rossana Morandi, Alessandra Sestini
ADCM
2007
155views more  ADCM 2007»
13 years 3 months ago
Numerical differentiation by radial basis functions approximation
Based on radial basis functions approximation, we develop in this paper a new computational algorithm for numerical differentiation. Under an a priori and an a posteriori choice r...
T. Wei, Y. C. Hon
ADCM
2008
187views more  ADCM 2008»
13 years 3 months ago
Approximation on the sphere using radial basis functions plus polynomials
In this paper we analyse a hybrid approximation of functions on the sphere S2 R3 by radial basis functions combined with polynomials, with the radial basis functions assumed to be...
Ian H. Sloan, Alvise Sommariva
ADCM
2010
85views more  ADCM 2010»
13 years 3 months ago
Stability of kernel-based interpolation
It is often observed that interpolation based on translates of radial basis functions or non-radial kernels is numerically unstable due to exceedingly large condition of the kerne...
Stefano De Marchi, Robert Schaback