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TIT
2008
123views more  TIT 2008»
13 years 10 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 11 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»
14 years 5 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 10 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 10 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