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ADCM
2000
104views more  ADCM 2000»
13 years 11 months ago
On the detection of singularities of a periodic function
We discuss the problem of detecting the location of discontinuities of derivatives of a periodic function, given either finitely many Fourier coefficients of the function, or the ...
Hrushikesh Narhar Mhaskar, Jürgen Prestin
ADCM
2000
39views more  ADCM 2000»
13 years 11 months ago
Uncertainty products of local periodic wavelets
This paper is on the angle-frequency localization of periodic scaling functions and wavelets. It is shown that the uncertainty products of uniformly local, uniformly regular and u...
Say Song Goh, Chee Heng Yeo
ADCM
2000
71views more  ADCM 2000»
13 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
2000
85views more  ADCM 2000»
13 years 11 months ago
Construction of Runge-Kutta methods of Crouch-Grossman type of high order
Zdzislaw Jackiewicz, Arne Marthinsen, Brynjulf Owr...
ADCM
2000
57views more  ADCM 2000»
13 years 11 months ago
Polynomial frames on the sphere
We introduce a class of polynomial frames suitable for analyzing data on the surface of the unit sphere of a Euclidean space. Our frames consist of polynomials, but are well local...
Hrushikesh Narhar Mhaskar, Francis J. Narcowich, J...
ADCM
2000
45views more  ADCM 2000»
13 years 11 months ago
Training neural networks with noisy data as an ill-posed problem
This paper is devoted to the analysis of network approximation in the framework of approximation and regularization theory. It is shown that training neural networks and similar n...
Martin Burger, Heinz W. Engl
ADCM
2000
61views more  ADCM 2000»
13 years 11 months ago
Regularization Networks and Support Vector Machines
Theodoros Evgeniou, Massimiliano Pontil, Tomaso Po...
ADCM
2000
61views more  ADCM 2000»
13 years 11 months ago
Asymptotic convergence of degree-raising
It is well known that the degree-raised Bernstein-B
Michael S. Floater, Tom Lyche
ADCM
2000
51views more  ADCM 2000»
13 years 11 months ago
Some results for a class of generalized polynomials
Serena Morigi, Marian Neamtu