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76 280 (0,124s)

Result

Bounds on Rates of Variable-Basis and Neural Network Approximation.

Tightness of bounds on rates of approximation by feedforward neural networks is investigated in a more general context of nonlinear approximation by variable-basis functions. Tight bounds on the worst case error in appr...

BA - Obecná matematika

  • 2001
  • Jx
Result

Bounds on Rates af Approximation by Neural Networks in Lp-spaces.

We derive upper bounds on rates of convergence of neural network approximation in Lp-spaces. Our bound are based on a version of Maurey-Jones-Barron Theorem for Lp-spaces. They are established in terms of L1-norm of a weight functio...

BA - Obecná matematika

  • 2003
  • D
Result

Universal Approximators.

of rates of approximation and description of sets of multivariable functions that can be approximated without the 'curse of dimensionality'.This article surveys recent developments in the mathematical theory of feedforward...

BA - Obecná matematika

  • 2002
  • C
Result

Geometric Rates of Approximation by Neural Networks

Sets of functions for which errors in approximation by neural networks converge to zero geometrically fast are described.

IN - Informatika

  • 2008
  • D
Result

Tight Bounds on Rates of Neural-Network Approximation.

Complexity of neural networks measured by the number of hidden units is studied in terms of rates of approximation. Limitations of improvements of upper bounds of the order of O(n exp(-1/2)) on such rates are investigated f...

BA - Obecná matematika

  • 2001
  • D
Result

Complexity of Gaussian-Radial-Basis Networks Approximating Smooth Functions

Estimates in terms of smoothness are derived for approximation rates by Gaussian radial-basis networks.

IN - Informatika

  • 2009
  • Jx
Result

Geometric Upper Bounds on Rates of Variable-Basis Approximation

Geometric upper bounds on rates of approximation by linear combinations of an increasing number n of computational units are derived....

EC - Imunologie

  • 2008
  • Jx
Result

A Sobolev-Type Upper Bound for Rates of Approximation by Linear Combinations of Heaviside Plane Waves

For sufficiently differntiable functions, there are derived estimates of rates of approximation by linear combinations of Heaviside plane waves converging to zero exponentially fast. The estimates depend on Sobolev seminorms and the...

IN - Informatika

  • 2007
  • Jx
Result

Can Dictionary-based Computational Models Outperform the Best Linear Ones?

of approximation rates, i.e., speeds of decrease of approximation errors for a growing number n of basis functions. Proofs of upper bounds on approximation rates by dictionary-based. Instead, the possibil...

IN - Informatika

  • 2011
  • Jx
  • Link
Result

Term structure construction of zero-coupon bonds interest rates

Basic themes of document: the term structure of interest rates; yield curve; spline function; approximation...

AH - Ekonomie

  • 2010
  • D
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