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ADCM
2006
61views more  ADCM 2006»
14 years 9 months ago
Inequalities on time-concentrated or frequency-concentrated functions
We obtain an inequality on a measure of the spread in time of periodic functions that are concentrated in frequency, i.e. all but a fixed finite number of Fourier coefficients van...
Say Song Goh, Tim N. T. Goodman
ADCM
2005
79views more  ADCM 2005»
14 years 9 months ago
Flexible piecewise approximations based on partition of unity
In this paper, we study a flexible piecewise approximation technique based on the use of the idea of the partition of unity. The approximations are piecewisely defined, globally sm...
Weimin Han, Wing Kam Liu
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ADCM
2004
58views more  ADCM 2004»
14 years 9 months ago
On the Representation of Band-Dominant Functions on the Sphere Using Finitely Many Bits
A band-dominant function on the Euclidean sphere embedded in Rq+1 is the restriction to this sphere of an entire function of q + 1 complex variables having a finite exponential ty...
Hrushikesh Narhar Mhaskar, Francis J. Narcowich, J...
ADCM
2000
45views more  ADCM 2000»
14 years 9 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
104views more  ADCM 2000»
14 years 9 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