Abstract
Multi-valued neurons are the neural processing elements with complex-valued weights, huge functionality (it is possible to implement on the single neuron arbitrary mapping described by partial defined multiple-valued function), quickly converged learning algorithms. Such features of the multi-valued neurons may be used for solution of the different kinds of problems.
Neural network with multi-valued neurons for image recognition will be considered in the paper. Such a network analyzes the spectral coefficients corresponding to low frequencies. Simulation results are presented on the example of face recognition.
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N.N.Aizenberg, Yu.L.Ivaskiv Multiple-Valued Threshold Logic. Kiev: Naukova Dumka, 1977 (in Russian)
N.N.Aizenberg, I.N.Aizenberg “CNN based on multi-valued neuron as a model of associative memory for gray-scale images”, Proc. of the 2-d IEEE International Workshop on Cellular Neural Networks and their Applications, Munich, 1992, pp. 36–41.
N.N.Aizenberg, I.N.Aizenberg, G.A.Krivosheev “Multi-Valued Neurons: Learning, Networks, Application to Image Recognition and Extrapolation of Temporal Series”, Lecture Notes in Computer Science, Vol.930, (J.Mira, F.Sandoval—Eds.), Springer-Verlag, 1995, pp.389–395.
N.N.Aizenberg, I.N.Aizenberg, G.A.Krivosheev “Multi-Valued Neurons: Mathematical model, Networks, Application to Pattern Recognition”, Proc. of the 13 Int.Conf. on Pattern Recognition, Vienna, August 25–30, 1996, Track D, IEEE Computer Soc. Press, pp. 185–189, 1996.
I.N.Aizenberg., N.N.Aizenberg “Universal binary and multi-valued neurons paradigm: conception, learning, applications”, Lecture Notes in Computer Science, Vol. 1240 (J.Mira, R.Moreno-Diaz, J.Cabestany—Eds.), Springer-Verlag, 1997, pp. 463–472.
I.N.Aizenberg, N.N.Aizenberg “Application of the neural networks based on multi-valued neurons in image processing and recognition”, SPIE Proceedings, Vol. 3307, 1998, pp. 88–97.
S.Jankowski, A.Lozowski, M.Zurada “Complex-Valued Multistate Neural Associative Memory”, IEEE Trans. on Neural Networks, Vol. 7, pp. 1491–1496, 1996.
N.Petkov, P.Kruizinga, T.Lourens “Motivated Approach to Face Recognition”, Lecture Notes in Computer Science, Vol. 686, (J.Mira, F.Sandoval—Eds.), Springer, pp.68–77, 1993.
S.Lawrence, C. Lee Giles, Ah Chung Tsoi and A.D.Back “Face Rocognition: A Convolutional Neural-Network Approach”, IEEE Trans. on Neural Networks, Vol. 8, pp. 98–113, 1997.
R.Foltyniewicz “Automatic Face Recognition via Wavelets and Mathematical Morphology”, Proc. of the 13 Int.Conf. on Pattern Recognition, Vienna, August 25–30, 1996, Track B, IEEE Computer Soc. Press, pp. 13–17, 1996.
N.Ahmed, K.R.Rao “Orthogonal Transforms for Digital Signal Processing”, Springer, 1975.
A.V.Oppenheim and S.J.Lim “The importance of phase in signals”, Proc. IEEE, Vol. 69, pp. 529–541, 1981.
M.Turk and A.Petland “Eigenfaces for Recognition”, Journal of Cognitive Neuroscience, Vol. 3, 1991.
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© 1999 Springer-Verlag Berlin Heidelberg
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Aizenberg, I.N., Aizenberg, N.N. (1999). Pattern recognition using neural network based on multi-valued neurons. In: Mira, J., Sánchez-Andrés, J.V. (eds) Engineering Applications of Bio-Inspired Artificial Neural Networks. IWANN 1999. Lecture Notes in Computer Science, vol 1607. Springer, Berlin, Heidelberg . https://doi.org/10.1007/BFb0100505
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DOI: https://doi.org/10.1007/BFb0100505
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