Abstract
A neural network architecture for fast, stable, incremental learning of recognition categories and multidimensional maps is described. The architecture, called fuzzy ARTMAP, achieves a synthesis of fuzzy logic and Adaptive Resonance Theory (ART) neural networks. Fuzzy ARTMAP realizes a Minimax Learning Rule that conjointly minimizes predictive error and maximizes code compression. The system automatically learns a minimal number of recognition categories, or “hidden units”, to meet accuracy criteria, and the final code can include both fine and coarse categories. At each learning stage, system weights may be translated into a set of if-then rules that characterize the decision making process. Prediction is improved by training the system several times using different orderings of the input set, then voting on the outcomes. ART and ARTMAP networks are being applied to problems such as medical prediction, airplane design, electrocardiogram analysis, seismic recognition, adaptive software, and radar scene analysis.
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
Parker, D.B.: Learning-logic. Invention Report, 581–64, File 1, Office of Technology Licensing. Stanford University, October, 1982.
Rumelhart, D.E., Hinton, G., and Williams, R.: Learning internal representations by error propagation. In D.E. Rumelhart and J.L. McClelland (Eds.), Parallel distributed processing. Cambridge, MA: MIT Press, 1986.
Werbos, P.: Beyond regression: New tools for prediction and analysis in the behavioral sciences. PhD Thesis, Harvard University, Cambridge, MA, 1974.
Ratcliff, R.: Connectionist models of recognition memory: Constraints imposed by learning and forgetting functions. Psych. Rev. 97, 285–308 (1990).
Carpenter, G.A., Grossberg, S., and Reynolds, J.H.: ARTMAP: Supervised real-time learning and classification of nonstationary data by a self-organizing neural network. Neural Networks 4, 565–588 (1991).
Carpenter, G.A., Grossberg, S., Markuzon, N., Reynolds, J.H., and Rosen, D.B.: Fuzzy ARTMAP: A neural network architecture for incremental supervised learning of analog multidimensional maps. IEEE Trans. Neural Networks 3 698–713 (1992).
Grossberg, S.: Adaptive pattern classification and universal recoding, II: Feedback, expectation, olfaction, and illusions. Biol. Cybern. 23, 187–202 (1976).
Grossberg, S.: How does a brain build a cognitive code? Psych. Rev. 1, 1–51 (1980).
Carpenter, G.A. and Grossberg, S.: A massively parallel architecture for a self-organizing neural pattern recognition machine. Comp. Vis. Graph. Image Proc. 37, 54–115 (1987).
Carpenter, G.A. and Grossberg, S.: ART 2: Stable self-organization of pattern recognition codes for analog input patterns. Appl. Opt. 26, 4919–4930 (1987).
Carpenter, G.A. and Grossberg, S.: ART 3: Hierarchical search using chemical transmitters in self-organizing pattern recognition architectures. Neural Networks 3, 129–152 (1990).
Grossberg, S.: Neural expectation: Cerebellar and retinal analogs of cells fired by learnable or unlearned pattern classes. Kybernetik 10, 49–57 (1972).
Grossberg, S.: On the development of feature detectors in the visual cortex with applications to learning and reaction-diffusion systems. Biol. Cybern. 21, 145–159 (1976).
Grossberg, S.: Adaptive pattern classification and universal recoding, I: Parallel development and coding of neural feature detectors. Biol. Cybern. 23, 121–134 (1976).
Grossberg, S.: A theory of human memory: Self-organization and performance of sensory-motor codes, maps, and plan. In R. Rosen and F. Snell (Eds.), Progress in theoretical biology, Vol. 5. New York: Academic Press, 1978. [Reprinted in S. Grossberg, Studies of mind and brain: Neural principles of learning, perception, development, cognition, and motor control. Boston: Reidel Press, 1982].
Grossberg, S.: Studies of mind and brain: Neural principles of learning, perception, development, cognition, and motor control. Boston: Reidel Press, 1982.
von der Malsburg, C.: Self-organization of orientation sensitive cells in the striate cortex. Kybernetik 14, 85–100 (1973).
Willshaw, D.J. and von der Malsburg, C.: How patterned neural connections can be set up by self-organization. Proc. Roy. Soc. London (B) 194, 431–445 (1976).
Cohen M.A. and Grossberg, S.: Neural dynamics of speech and language coding: Developmental programs, perceptual grouping, and competition for short term memory. Human Neurobiol. 5, 1–22 (1986).
Cohen, M.A. and Grossberg, S.: Masking fields: A massively parallel architecture for learning, recognizing, and predicting multiple groupings of patterned data. Appl. Opt. 26, 1866–1891 (1987).
Grossberg, S. and Kuperstein, M.: Neural dynamics of adaptive sensory-motor control: Ballistic eye movements. Amsterdam: Elsevier/North Holland, 1986.
Grossberg, S. and Kuperstein, M.: Neural dynamics of adaptive sensory-motor control: Expanded edition. Elmsford, NY: Pergamon Press, 1989.
Kohonen, T.: Self-organization and associative memory. New York: Springer-Verlag, 1988.
Carpenter, G.A. and Grossberg, S. (Eds.): Pattern recognition by self-organizing neural networks. Cambridge, MA: MIT Press, 1991.
Grossberg, S. (Ed.): The adaptive brain, I: Cognition, learning, reinforcement, and rhythm. Amsterdam: Elsevier/North-Holland, 1987.
Grossberg, S. (Ed.): The adaptive brain, II: Vision, speech, language, and motor control. Amsterdam: Elsevier/North-Holland, 1987.
Grossberg, S. (Ed.): Neural networks and natural intelligence. Cambridge, MA: MIT Press, 1988.
Carpenter, G.A. and Grossberg, S.: Neural dynamics of category learning and recognition: Attention, memory consolidation, and amnesia. In S. Grossberg (Ed.), The adaptive brain, I: Cognition, learning, reinforcement, and rhythm. Amsterdam: Elsevier/North Holland, pp. 238–286, 1987.
Grossberg, S. and Merrill, J.W.L.: A neural network model of adaptively timed reinforcement learning and hippocampal dynamics. Cog. Brain Res. 1, 3–38 (1992).
Desimone, R.: Neural circuits for visual attention in the primate brain. In G.A. Carpenter and S. Grossberg (Eds.), Neural networks for vision and image processing. Cambridge, MA: MIT Press, pp. 343–364, 1992.
Laird, J.E., Newell, A., and Rosenbloom, P.S.: SOAR: An architecture for general intelligence. Artificial Intell. 33, 1–64 (1987).
Carpenter, G.A., Grossberg, S., and Rosen, D.B.: Fuzzy ART: Fast stable learning and categorization of analog patterns by an adaptive resonance system. Neural Networks 4, 759–771 (1991).
Kosko, B.: Fuzzy entropy and conditioning. Info. Sci. 40, 165–174 (1986).
Zadeh, L.: Fuzzy sets. Info. Control 8, 338–353 (1965).
Frey, P.W. and Slate, D.J.: Letter recognition using Holland-style adaptive classifiers. Mach. Learn. 6, 161–182 (1991).
Holland, J.H.: Adaptive algorithms for discovering and using general patterns in growing knowledge bases. Int. J. Pol. Anal. Info. Sys. 4, 217–240 (1980).
Baloch, A.J. and Waxman, A.M.: Visual learning, adaptive expectations, and learning behavioral conditioning of the mobil robot MAVIN. Neural Networks 4, 271–302 (1991).
Caudell, T., Smith, S., Johnson, C., Wunsch, D., and Escobedo, R.: An industrial application of neural networks to reusable design. Adaptive neural systems, Technical Report BCS-CS-ACS-91–001, Seattle, WA: The Boeing Company, pp. 185–190, 1991.
Gjerdingen, R.O.: Categorization of musical patterns by self-organizing neuronlike networks. Music Percep. 7, 339–370 (1990).
Goodman, P., Kaburlasos, V., Egbert, D., Carpenter, G.A., Grossberg, S., Reynolds, J.H., Hammermeister, K., Marshall, G., and Grover, F.: Fuzzy ARTMAP neural network prediction of heart surgery mortality. Proceedings of the Wang Institute research conference: Neural networks for learning, recognition, and control. Boston, MA: Boston University, p. 48, 1992.
Ham, F.M. and Han, S.W.: Quantitative study of the QRS complex using fuzzy ARTMAP and MIT/BIH arrythmia database. Proceedings of the World Congress on Neural Networks (WCNN’93) I, 207–211 (1993).
Keyvan, S., Durg, A., and Rabelo, L.C.: Application of artificial neural networks for development of diagnostic monitoring system in nuclear plants. Trans. Amer. Nuclear Soc. 1, 515–522 (1993).
Mehta, B.V., Vij, L., and Rabelo, L.C.: Prediction of secondary structures of proteins using fuzzy ARTMAP. Proceedings of the World Congress on Neural Networks (WCNN’93) I, 228–232 (1993).
Seibert, M. and Waxman, A.M.: Learning and recognizing 3D objects from multiple views in a neural system. In H. Wechsler (Ed.) Neural networks for perception, Vol. 1. New York: Academic Press, 1991.
Salzberg, S.L.: Learning with nested generalized exemplars. Boston: Kluwer Academic Publishers, 1990.
Moore, B.: ART 1 and pattern clustering. In D. Touretzky, G. Hinton, and T. Sejnowski (Eds.), Proceedings of the 1988 connectionist models summer school. San Mateo, CA: Morgan Kaufmann, pp. 174–185, 1989.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1994 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Carpenter, G.A., Grossberg, S. (1994). Self-Organizing Neural Networks for Supervised and Unsupervised Learning and Prediction. In: Cherkassky, V., Friedman, J.H., Wechsler, H. (eds) From Statistics to Neural Networks. NATO ASI Series, vol 136. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-79119-2_16
Download citation
DOI: https://doi.org/10.1007/978-3-642-79119-2_16
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-79121-5
Online ISBN: 978-3-642-79119-2
eBook Packages: Springer Book Archive