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ADCM
2000

45views more ADCM 2000»

Training neural networks with noisy data as an ill-posed problem

13 years 7 months ago

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

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20

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ADCM
2000

104views more ADCM 2000»

On the detection of singularities of a periodic function

13 years 7 months ago

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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

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18

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ADCM
2000

57views more ADCM 2000»

Polynomial frames on the sphere

13 years 7 months ago

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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...

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24

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ADCM
2010

129views more ADCM 2010»

Construction of positive definite cubature formulae and approximation of functions via Voronoi tessellations

13 years 7 months ago

Download www.mi.uni-erlangen.de

Let Rd be a compact convex set of positive measure. In a recent paper, we established a definiteness theory for cubature formulae of order two on . Here we study extremal propert...

Allal Guessab, Gerhard Schmeisser

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