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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 computing
Approximation
Approximation error
Basis function
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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
H. Mhaskar
,
T. Poggio
ArXiv
2016
Corpus ID: 10986014
The paper briefly reviews several recent results on hierarchical architectures for learning from examples, that may formally…
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Highly Cited
2013
Highly Cited
2013
Approximation Theory and Harmonic Analysis on Spheres and Balls
F. Dai
,
Yuan Xu
2013
Corpus ID: 117956244
1 Spherical Harmonics.- 2 Convolution and Spherical Harmonic Expansion.- 3 Littlewood-Paley Theory and Multiplier Theorem.- 4…
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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…
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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…
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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…
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Highly Cited
1999
Highly Cited
1999
A course in approximation theory
W. Cheney
,
W. Light
1999
Corpus ID: 121356256
This textbook is designed for graduate students in mathematics, physics, engineering, and computer science. Its purpose is to…
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Highly Cited
1994
Highly Cited
1994
Approximation theory of fuzzy systems-SISO case
Xiao-Jun Zeng
,
M. Singh
IEEE transactions on fuzzy systems
1994
Corpus ID: 8037686
In this paper, the approximation properties of MIMO fuzzy systems generated by the product inference are discussed. We first give…
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Highly Cited
1994
Highly Cited
1994
Numerical Recipes in Fortran: The Art of Scientific Computing.@@@Numerical Recipes in C: The Art of Scientific Computing.
W. Press
,
S. Teukolsky
,
W. Vetterling
,
B. Flannery
1994
Corpus ID: 124311898
Highly Cited
1990
Highly Cited
1990
Networks and the best approximation property
F. Girosi
,
T. Poggio
Biological cybernetics
1990
Corpus ID: 18824241
Networks can be considered as approximation schemes. Multilayer networks of the perceptron type can approximate arbitrarily well…
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Highly Cited
1979
Highly Cited
1979
An Approximation Theory of Optimal Control for Trainable Manipulators
G. Saridis
,
C. S. Lee
IEEE Transactions on Systems, Man and Cybernetics
1979
Corpus ID: 36766289
A theoretical procedure is developed for comparing the performance of arbitrarily selected admissible controls among themselves…
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