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Existence of the classifying neural network for the arbitrary partitioning of vertices of n-metric cube into two sets

Keywords:

V. P. Dobritsa – Dr.Sc. (Phys.-Math.), Professor, Chair of the information Security and Communications Network, South-west State University, Kursk, Russia. E-mail: dobritsa@mail.ru
N. S. Ualiyev – Ph.D. (Phys.-Math.), Associate Professor, Chair of Information Technology, Zhetysu State University named after Ilyas Zhansugurov, Kazakhstan, Taldykorgan, Russia. E-mail: n.ualiyev@gmail.com
D. N. Nurgabyl – Dr.Sc. (Phys.-Math.), Professor, Director, Institute of Postgraduate Education and Retraining, Zhetysu State University named after Ilyas Zhansugurov, Kazakhstan, Taldykorgan, Russia. E-mail: schewelew@mail.ru


The works proves the existence of neural network, recognizing if vertex of an n-metric cube belongs to the classes, obtained by the arbitrary partitioning of the vertices n-metric cube into two sets. Such network can be used in the development of encrypting systems, image recognition systems and so on.
References:

 

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  2. Dobritsa V.P., Lipunov A.A. Neyrosetevoy shifrator tekstov// Naukoemkie tekhnologii. 2012. T. 13. № 9. S. 13-15.
  3. Kolmogorov A.N. Predstavlenie nepreryvnykh funktsiy mnogikh peremennykh superpozitsiey funktsiy odnoy peremennoy i slozheniem//DAN SSSR. 1958. № 5. S. 953-956.
  4. Rojas Raul Theorie der neuronalenNetze. EinesistematischeEinfuehrung. Berlin: Springer – Verlag. 1993.
  5. Hornik K., Stinchcombe M., White H. Multilayer feed forward networks are universal approximations// Neural Networks, 1989, universal approximations// Neural Networks. 1989. № 2. P. 359-366.

 

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