Abstract
In this paper we study how the performance of a median associative memory is influenced when the values of its elements are altered by noise. To our knowledge this kind of research has not been reported until know. We give formal conditions under which the memory is still able to correctly recall a pattern of the fundamental set of patterns either from a non-altered or a noisy version of it. Experiments are also given to show the efficiency of the proposal.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Steinbuch, K.: Die Lernmatrix. Kybernetik 1(1), 26–45 (1961)
Anderson, J.A.: A simple neural network generating an interactive memory. Mathematical Biosciences 14, 197–220 (1972)
Hopfield, J.J.: Neural networks and physical systems with emergent collective computational abilities. Proceedings of the National Academy of Sciences 79, 2554–2558 (1982)
Ritter, G.X., et al.: Morphological associative memories. IEEE Transactions on Neural Networks 9, 281–293 (1998)
Sossa, H., Barrón, R., Vázquez, R.A.: New Associative Memories to Recall Real-Valued Patterns. In: Sanfeliu, A., Martínez Trinidad, J.F., Carrasco Ochoa, J.A. (eds.) CIARP 2004. LNCS, vol. 3287, pp. 195–202. Springer, Heidelberg (2004)
Sossa, H., Barrón, R., Vázquez, R.A.: Transforming Fundamental Set of Patterns to a Canonical Form to Improve Pattern Recall. In: Lemaître, C., Reyes, C.A., González, J.A. (eds.) IBERAMIA 2004. LNCS (LNAI), vol. 3315, pp. 687–696. Springer, Heidelberg (2004)
Sossa, H., Barrón, R.: Median Associative Memories: New Results. In: Sanfeliu, A., Cortés, M.L. (eds.) CIARP 2005. LNCS, vol. 3773, pp. 1036–1046. Springer, Heidelberg (2005)
Sossa, H., Barrón, R., Cuevas, F., Aguilar, C.: Associative gray-level pattern processing using binary decomposition and αβ memories. Neural Processing Letters 22, 85–111 (2005)
Cruz, B., Sossa, H., Barrón, R.: Associative processing and pattern decomposition for pattern reconstruction. Neural Processing Letters 25(1), 1–16 (2007)
Sossa, H. and Barrón, R.: Extended αβ associative memories. To appear in Revista Mexicana de Física (2007)
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 2007 Springer Berlin Heidelberg
About this paper
Cite this paper
Sossa, H., Barrón, R., Vázquez, R.A. (2007). Study of the Influence of Noise in the Values of a Median Associative Memory. In: Beliczynski, B., Dzielinski, A., Iwanowski, M., Ribeiro, B. (eds) Adaptive and Natural Computing Algorithms. ICANNGA 2007. Lecture Notes in Computer Science, vol 4432. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-71629-7_7
Download citation
DOI: https://doi.org/10.1007/978-3-540-71629-7_7
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-71590-0
Online ISBN: 978-3-540-71629-7
eBook Packages: Computer ScienceComputer Science (R0)