Linking discrete orthogonality with dilation and translation for incomplete sigma-pi neural networks of Hopfield-type

Discrete Applied Mathematics

Volumn 89, Issue 1-3, 1998, Pages 169-180

  Lenze, Burkhard ^a  

^a UNIVERSITY OF APPLIED SCIENCES AND ARTS DORTMUND   (Germany)

Author keywords

Dilation; Discrete orthogonality; Higher order networks; Hopfield networks; Sigma pi networks; Translation; Walsh functions

Indexed keywords

EID: 0000944197     PISSN: 0166218X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0166-218X(98)00102-4     Document Type: Article

References (8)

1. H.H. Chen, Y.C. Lee, T. Maxwell, G.Z. Sun, H.Y. Lee, C.L. Giles, High order correlation model for associative memory, in: J.S. Denker (Ed.), AIP Conference Proceedings, American Institute of Physics, New York, 1986, pp. 86-99.
2. G. Fahner, R. Eckmiller, Structural adaptation of parsimonious higher-order neural classifiers, Neural Networks 7 (1994) 279-289.
3. E. Gauß, Walsh-Funktionen für Ingenieure und Naturwissenschaftler, B.G. Teubner, Stuttgart, 1994.
4. Y. Kamp, M. Hasler, Recursive Neural Networks for Associative Memory, Wiley, Chichester, 1990.
5. M.G. Karpovsky, Finite Orthogonal Series in the Design of Digital Devices, Wiley, New York, 1976.
6. B. Lenze, Introducing dilation and translation for incomplete sigma-pi neural networks of Hopfield-type, in: F. Fontanella, K. Jetter, P.-J. Laurent (Eds.), Advanced Topics in Multivariate Approximation, World Scientific, Singapore, 1996, pp. 197-210.
7. K. Niederdrenk, Die endliche Fourier- und Walsh-Transfonnation mit einer Einführung in die Bildverarbeitung, Vieweg & Sohn, Braunschweig, 1982.
8. D. Psaltis, C.H. Park, J. Hong, Higher order associative memories and their optical implementations, Neural Networks 1 (1988) 149-163.