On the Kolmogorov neural networks

Ismayilova, Aysu; Ismailov, Vugar E.

doi:https://doi.org/10.1016/j.neunet.2024.106333

On the Kolmogorov neural networks

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On the Kolmogorov neural networks

Ismayilova, Aysu; Ismailov, Vugar E.

(2024) Neural Networks, volume 176, pp. 1 - 6

(Article)

Abstract

In this paper, we show that the Kolmogorov two hidden layer neural network model with a continuous, discontinuous bounded and unbounded activation function in the second hidden layer can precisely represent continuous, discontinuous bounded and all unbounded multivariate functions, respectively.

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Keywords: Conjugate operator, Dual space, Indicator function, Kolmogorov's superposition theorem, Linear functional, Lipschitz function, Taverne, Cognitive Neuroscience, Artificial Intelligence

DOI: https://doi.org/10.1016/j.neunet.2024.106333

ISSN: 0893-6080

Publisher: Elsevier Limited

(Peer reviewed)

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