Kolmogorov's theorem and multilayer neural networks
Neural Networks
Handbook of Data Visualization (Springer Handbooks of Computational Statistics)
Handbook of Data Visualization (Springer Handbooks of Computational Statistics)
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In this paper we developed a new architecture of neural networks for generating nomograms based on series of data vectors. The paper was inspired by the XIII Hilbert's problem which was presented 1900 in the context of nomography, for the particular nomographic construction. The problem was solved by V. Arnold (a student of Andrey Kolomogorov) in 1957. For numeric data of unknown functional relation we developed the incidental neural networks as nomograms generators --- the graphic calculating devices.