Abstract
We present a novel hetero-associative memory based on dendritic neural computation. The computations in this model are based on lattice group operations. The proposed model does not suffer from the usual storage capacity problem and is extremely robust in the presence of various types of noise and data corruption.
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.: Automat und Mensch, 2nd edn. Springer, Heidelberg (1963)
Steinbuch, K., Piske, U.A.W.: Learning Matrices and Their Applications. IEEE Trans. on Electronic Computers, 846ā862 (1963)
Steinbuch, K.: Automat und Mensch, 3rd edn. Springer, Heidelberg (1965)
Steinbuch, K.: Automat und Mensch, 4th edn. Springer, Heidelberg (1972)
Kohonen, T.: Correlation Matrix Memory. IEEE Trans. on ComputersĀ C-21, 353ā359 (1972)
Anderson, J.A.: A simple neural network generating an interactive memory. Mathematical BiosciencesĀ 14, 197ā220 (1972)
Kohonen, T.: Self-Organization and Associative Memories, 2nd edn. Springer, Berlin (1987)
Hopfield, J.J.: Neural networks and physical systems with emergent collective computational abilities. Proc. of the National Academy of Sciences, USAĀ 79, 2554ā2558 (1982)
Hopfield, J.J.: Neurons With Graded Response Have Collective Computational Properties Like Those of Two State Neurons. Proc. of the National Academy of Sciences, USAĀ 81, 3088ā3092 (1984)
Hopfield, J.J., Tank, D.W.: Computing with neural circuits. ScienceĀ 233, 625ā633 (1986)
Ritter, G.X., Sussner, P.: Associative Memories Based on Lattice Algebra. In: IEEE Inter. Conf. Systems, Man, and Cybernetics, Orlando, FL, pp. 3570ā3575 (October 1997)
Ritter, G.X., Sussner, P., Diaz de Leon, D.L.: Morphological Associative Memories. IEEE Trans. on Neural NetworksĀ 9, 281ā293 (1998)
Ritter, G.X., Diaz de Leon, D.L., Sussner, P.: Morphological Bidirectional Associative Memories. Neural NetworksĀ 12, 851ā867 (1999)
Ritter, G.X., Urcid, G.: Lattice Algebra Approach to Single-Neuron Computation. IEEE Trans. on Neural NetworksĀ 14(2), 282ā295 (2003)
Kaburlasos, V.G.: Towards a Unified Modeling and Knowledge Representation Based on Lattice Theory. Computational Inteligence 27(2006)
Kaburlasos, V.G., Ritter, G.X. (eds.): Computational Intelligence Based on Lattice Theory. SCI, vol.Ā 67. Springer, Heidelberg (2007)
Ritter, G.X., Urcid, G.: Lattice Algebra Approach to Endmember Determination In Hyperspectral Imagery. In: Hawkes, P. (ed.) Advances in Imaging and Electron Physics, ch. 4, vol.Ā 169, pp. 113ā168. Elsevier, San Diego (2010)
Kaburlasos, V.G.: Granular Enhancement of Fuzzy-ART/SOM Neural Classifyers Based on Lattice Theory. In: Kaburlasos, V.G., Ritter, G.X. (eds.) Computational Intelligence based on Lattice Theory. SCI, vol.Ā 67, pp. 3ā23. Springer, Heidelberg (2007)
GraƱa, M., Villaverde, I., Moreno, R., Albizuri, F.X.: Convex Coordinates from Lattice Independent Sets of Visual Pattern Recognition. In: Kaburlasos, V.G., Ritter, G.X. (eds.). SCI, vol.Ā 67, pp. 101ā128. Springer, Heidelberg (2007)
GraƱa, M., Chyzhyk, D., GarcĆa-SebastiĆ”n, M., HernĆ”ndez, C.: Lattice Independent Component Analysis for functional Magnetic Resonance Imaging. Information SciencesĀ 181, 1910ā1928 (2011)
Chyzhyk, D., GraƱa, M.: Optimal Hyperbox Shrinking in Dendritic Computing Applied to Alzheimerās Disease Detection in MRI. In: Corchado, E., SnĆ”Å”el, V., Sedano, J., Hassanien, A.E., Calvo, J.L., ÅlÄzak, D. (eds.) SOCO 2011. AISC, vol.Ā 87, pp. 543ā550. Springer, Heidelberg (2011)
Chyzhyk, D., GraƱa, Savio, A., Maiora, J.: Hybrid Dendritic Computing with Kernel-LICA applied to Alzheimerās Disease detection in MRI. NeurocomputingĀ 75(1), 72ā77 (2012)
Ritter, G.X., Urcid, G.: Perfect Recovery from Noisy Input Patterns with a Dendritic Lattice Associative Memory. In: Proceedings of the International Joint Conference on Neural Networks (IEEE/INNS), San Jose, CA, pp. 503ā510 (2011)
Urcid, G., Ritter, G.X., Valvdiviezo, J.C.N.: Grayscale Image Recall from Imperfect Inputs with a Two Layer Dendritic Lattice Associative Memory. In: Proceedings of IEEE, 3rd Congress on Nature and Biologically Inspired Computing, Salamanca, Spain, pp. 268ā273 (2011)
Ritter, G.X., Urcid, G.: Learning in Lattice Neural Networks that Employ Dendritic Computing. In: Kaburlasos, V.G., Ritter, G.X. (eds.) Computational Intelligence Based on Lattice Theory. SCI, vol.Ā 67, pp. 25ā44. Springer, Heidelberg (2007)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
Ā© 2012 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Ritter, G.X., Chyzhyk, D., Urcid, G., GraƱa, M. (2012). A Novel Lattice Associative Memory Based on Dendritic Computing. In: Corchado, E., SnĆ”Å”el, V., Abraham, A., WoÅŗniak, M., GraƱa, M., Cho, SB. (eds) Hybrid Artificial Intelligent Systems. HAIS 2012. Lecture Notes in Computer Science(), vol 7209. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-28931-6_47
Download citation
DOI: https://doi.org/10.1007/978-3-642-28931-6_47
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-28930-9
Online ISBN: 978-3-642-28931-6
eBook Packages: Computer ScienceComputer Science (R0)