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TIT
2008
123views more  TIT 2008»
13 years 4 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
2007
155views more  ADCM 2007»
13 years 5 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 diļ¬€erentiation. Under an a priori and an a posteriori choice r...
T. Wei, Y. C. Hon
ICANNGA
2007
Springer
141views Algorithms» more  ICANNGA 2007»
13 years 11 months ago
Estimates of Approximation Rates by Gaussian Radial-Basis Functions
Rates of approximation by networks with Gaussian RBFs with varying widths are investigated. For certain smooth functions, upper bounds are derived in terms of a Sobolev-equivalent ...
Paul C. Kainen, Vera Kurková, Marcello Sang...
SIAMSC
2008
191views more  SIAMSC 2008»
13 years 4 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...
CGF
2005
159views more  CGF 2005»
13 years 4 months ago
Real-Time Shape Editing using Radial Basis Functions
Current surface-based methods for interactive freeform editing of high resolution 3D models are very powerful, but at the same time require a certain minimum tessellation or sampl...
Mario Botsch, Leif Kobbelt