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Kolmogorov–Arnold representation theorem

Known as: Kolmogorov's superposition theorem, Kolmogorov-Arnold representation theorem, Nomographic function 
In real analysis and approximation theory, the Kolmogorov–Arnold representation theorem (or superposition theorem) states that every multivariable… Expand
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2020
2020
There is a longstanding debate whether the Kolmogorov-Arnold representation theorem can explain the use of more than one hidden… Expand
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2017
2017
Kolmogorov famously proved that multivariate continuous functions can be represented as a superposition of a small number of… Expand
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2015
2015
In this paper, a clustered wireless sensor network is considered that is modeled as a set of coupled Gaussian multiple-access… Expand
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2015
2015
This paper introduces a novel algorithmic solution for the approximation of a given continuous multivariate function by a… Expand
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2013
2013
In this paper, a wireless sensor network is considered in which the objective is not to communicate individual sensor readings… Expand
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2005
2005
In the paper, a novel Neuro-Fuzzy Kolmogorov's Network (NFKN) is considered. The NFKN is based on and is the development of the… Expand
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2003
2003
In this article an innovative neural-network architecture, called the Kolmogorov’s Spline Network (KSN) and based on the… Expand
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1996
1996
  • M. Nees
  • Adv. Comput. Math.
  • 1996
  • Corpus ID: 46537543
In this paper, we develop two algorithms for Chebyshev approximation of continuous functions on [0, 1]n using the modulus of… Expand
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1994
1994
Abstract This paper continues the investigation of representations of continuous functions f(x1, …, xn) with n ≥ 2 in the form f… Expand
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Highly Cited
1993
Highly Cited
1993
Based on constructions of Kalmogorov and an earlier refinement of the author, we use a sequence of integrally independent… Expand
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