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Approximation theory

Known as: Approximation theory/proofs, Chebyshev approximation, Tchebyscheff approximation 
In mathematics, approximation theory is concerned with how functions can best be approximated with simpler functions, and with quantitatively… 
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Related topics

Related topics

48 relations
Approximate computingApproximationApproximation errorBasis function

Broader (1)

Numerical analysis

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
Review
2016
Review
2016
Deep vs. shallow networks : An approximation theory perspective
The paper briefly reviews several recent results on hierarchical architectures for learning from examples, that may formally… 
Highly Cited
2013
Highly Cited
2013
Approximation Theory and Harmonic Analysis on Spheres and Balls
1 Spherical Harmonics.- 2 Convolution and Spherical Harmonic Expansion.- 3 Littlewood-Paley Theory and Multiplier Theorem.- 4… 
Highly Cited
2010
Highly Cited
2010
Fuzzy Mathematics: Approximation Theory
  • G. Anastassiou
  • Studies in Fuzziness and Soft Computing
  • 2010
  • Corpus ID: 19127412
This monograph belongs to the broader area of Fuzzy Mathematics and it is the first one in Fuzzy Approximation Theory. The… 
Highly Cited
2008
Highly Cited
2008
Approximation Theory
  • A. Cuyt
  • Wiley Encyclopedia of Computer Science and…
  • 2008
  • Corpus ID: 3888886
Approximation theory is an area of mathematics that has become indispensable to the computational sciences. The approximation of… 
Review
1999
Review
1999
Approximation theory of the MLP model in neural networks
  • A. Pinkus
  • Acta Numerica
  • 1999
  • Corpus ID: 16800260
In this survey we discuss various approximation-theoretic problems that arise in the multilayer feedforward perceptron (MLP… 
Highly Cited
1999
Highly Cited
1999
A course in approximation theory
This textbook is designed for graduate students in mathematics, physics, engineering, and computer science. Its purpose is to… 
Highly Cited
1994
Highly Cited
1994
Approximation theory of fuzzy systems-SISO case
In this paper, the approximation properties of MIMO fuzzy systems generated by the product inference are discussed. We first give… 
Highly Cited
1994
Highly Cited
1994
Numerical Recipes in Fortran: The Art of Scientific Computing.@@@Numerical Recipes in C: The Art of Scientific Computing.
Highly Cited
1990
Highly Cited
1990
Networks and the best approximation property
Networks can be considered as approximation schemes. Multilayer networks of the perceptron type can approximate arbitrarily well… 
Highly Cited
1979
Highly Cited
1979
An Approximation Theory of Optimal Control for Trainable Manipulators
A theoretical procedure is developed for comparing the performance of arbitrarily selected admissible controls among themselves… 
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