Abstract
Normalization of input vector is essential for a competitive learning neural network using the inner product. In this paper we propose a transformation method of input vector without losing the norm information. To conserve the norm information, an additional vector component concerning the norm is introduced besides the original normalized components of the input vector. By applying the method to Kohonen’s self-organizing feature map, its usefulness is demonstrated. We also propose an optical apparatus for its realization.
Similar content being viewed by others
References
T. Lu, F.T.S. Yu and D.A. Gregory: Opt. Eng. 29 (1990).
J. Duivillier, M. Killinger, K. Heggarty, K. Yao and J.L. de Bougrenet de la Tocnaye: Appl. Opt. 33 (1994).
M. Terashima, F. Shiratani and K. Yamamoto:Proceedings of JNNS’ 94, (1994) p. 221.
T. Kohonen:Self-Organization and Associative Memory, (Springer-Verlag, Berlin, 1989) 3rd ed.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Terashima, M., Shiratani, F., Hashimoto, T. et al. A normalization method of input data that conserves the norm information for competitive learning neural network using inner product. Optical Review 3, A414–A417 (1996). https://doi.org/10.1007/BF02935947
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF02935947