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Approximative versions of Kolmogorov's superposition theorem, proved constructively

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Publication:1347152
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DOI10.1016/0377-0427(94)90179-1zbMath0826.26003OpenAlexW2128415407MaRDI QIDQ1347152

Manuela Nees

Publication date: 19 November 1995

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(94)90179-1


zbMATH Keywords

constructive versionssuperposition theorem of Kolmogorov


Mathematics Subject Classification ID

Representation and superposition of functions (26B40)


Related Items (3)

Computational aspects of Kolmogorov's superposition theorem ⋮ On a constructive proof of Kolmogorov's superposition theorem ⋮ Chebyshev approximation by discrete superposition. Application to neural networks



Cites Work

  • A survey of solved and unsolved problems on superpositions of functions
  • Metric Entropy, Widths, and Superpositions of Functions
  • On the representation of continuous functions of many variables by superposition of continuous functions of one variable and addition
  • On the Structure of Continuous Functions of Several Variables
  • Unnamed Item


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