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ADCM
2006
74views more  ADCM 2006»
14 years 11 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
ADCM
2002
77views more  ADCM 2002»
14 years 11 months ago
Toric Surface Patches
We classify the homogeneous polynomials in three variables whose toric polar linear system defines a Cremona transformation. This classification includes, as a proper subset, the c...
Rimvydas Krasauskas
ADCM
2000
71views more  ADCM 2000»
14 years 11 months ago
Construction of multivariate biorthogonal wavelets with arbitrary vanishing moments
We present a concrete method to build discrete biorthogonal systems such that the wavelet filters have any number of vanishing moments. Several algorithms are proposed to construct...
Di-Rong Chen, Bin Han 0003, Sherman D. Riemenschne...
ADCM
2004
58views more  ADCM 2004»
14 years 11 months ago
Classification of Bivariate Configurations with Simple Lagrange Interpolation Formulae
In 1977 Chung and Yao introduced a geometric characterization in multivariate interpolation in order to identify distributions of points such that the Lagrange functions are produc...
Jesús M. Carnicer, Mariano Gasca
ADCM
2008
119views more  ADCM 2008»
14 years 10 months ago
Bounds on the dimensions of trivariate spline spaces
We derive upper and lower bounds on the dimensions of trivariate spline spaces defined on tetrahedral partitions. The results hold for general partitions, and for all degrees of sm...
Peter Alfeld, Larry L. Schumaker