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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

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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