Abstract
Most results (lemmas and theorems) providing conditions under which associative memories are able to perfectly recall patterns of a fundamental set are very restrictive in most practical applications. In this note we describe a simple but effective procedure to transform a fundamental set of patterns (FSP) to a canonical form that fulfils the propositions. This way pattern recall is strongly improved. We provide numerical and real examples to reinforce the proposal.
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References
Steinbuch, K., Lernmatrix, D.: Kybernetik. 1(1), 26–45 (1961)
Wilshaw, D., et al.: Non-holographic associative memory. Nature 222, 960–962 (1969)
Anderson, J.A.: A simple neural network generating an interactive memory. Mathematical Biosciences 14, 197–220 (1972)
Kohonen, T.: Correlation matrix memories. IEEE Transactions on Computers 21(4), 353–359 (1972)
Hopfield, J.J.: Neural networks and physical systems with emergent collective computational abilities. In: Proceedings of the National Academy of Sciences, vol. 79, pp. 2554–2558 (1982)
Ritter, G.X., et al.: Morphological associative memories. IEEE Transactions on Neural Networks 9, 281–293 (1998)
Yáñez, C.: Associative Memories based on Order Relations and Binary Operators (In Spanish), PhD Thesis, Center for Computing Research, February of (2002)
Sossa, H., Barrón, R.: New associative model for pattern recall in the presence of mixed noise. In: IASTED Fifth International Conference on Signal and Image Processing (SIP 2003), Honolulu, Hawaii, USA, August 13-15 (2003)
Otsu, N.: A threshold selection method from gray-level histograms. IEEE Transactions on SMC 9(1), 62–66 (1979)
Jain, R., et al.: Machine Vision. McGraw-Hill, New York (1995)
Hu, M.K.: Visual pattern recognition by moment invariants. IRE Transactions on Information Theory 8, 179–187 (1962)
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© 2004 Springer-Verlag Berlin Heidelberg
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Sossa, H., Barrón, R., Vázquez, R.A. (2004). Transforming Fundamental Set of Patterns to a Canonical Form to Improve Pattern Recall. In: Lemaître, C., Reyes, C.A., González, J.A. (eds) Advances in Artificial Intelligence – IBERAMIA 2004. IBERAMIA 2004. Lecture Notes in Computer Science(), vol 3315. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-30498-2_69
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DOI: https://doi.org/10.1007/978-3-540-30498-2_69
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-23806-5
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