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» A multivariate Powell-Sabin interpolant
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ADCM
2006
74views more  ADCM 2006»
13 years 7 months ago
Linearly constrained reconstruction of functions by kernels with applications to machine learning
This paper investigates the approximation of multivariate functions from data via linear combinations of translates of a positive definite kernel from a reproducing kernel Hilbert...
Robert Schaback, J. Werner
SIBGRAPI
2009
IEEE
14 years 2 months ago
Hermite Interpolation of Implicit Surfaces with Radial Basis Functions
—We present the Hermite radial basis function (HRBF) implicits method to compute a global implicit function which interpolates scattered multivariate Hermite data (unstructured p...
Ives Macedo, Joao Paulo Gois, Luiz Velho
SIAMIS
2010
152views more  SIAMIS 2010»
13 years 2 months ago
Nonparametric Regression between General Riemannian Manifolds
We study nonparametric regression between Riemannian manifolds based on regularized empirical risk minimization. Regularization functionals for mappings between manifolds should re...
Florian Steinke, Matthias Hein, Bernhard Schö...
MP
2008
126views more  MP 2008»
13 years 7 months ago
Geometry of interpolation sets in derivative free optimization
We consider derivative free methods based on sampling approaches for nonlinear optimization problems where derivatives of the objective function are not available and cannot be dir...
Andrew R. Conn, Katya Scheinberg, Luís N. V...
AES
2004
Springer
139views Cryptology» more  AES 2004»
14 years 25 days ago
The Inverse S-Box, Non-linear Polynomial Relations and Cryptanalysis of Block Ciphers
This paper is motivated by the design of AES. We consider a broader question of cryptanalysis of block ciphers having very good non-linearity and diffusion. Can we expect anyway, ...
Nicolas Courtois