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Interactions in an art neural system

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This work continues a series of papers about a neural network that incorporates adaptive resonance theory (ART) as a system of ordinary differential equations. The original, Exact ART, requires huge computational resources even for small-scale tasks. However, for technological applications it is necessary to devise more efficient computing algorithms. Here we propose simplifications of the original subsystem responsible for bottom-up and top-down data matching. In effect we formulate and solve a substitution problem that preserves only those features, which are essential for the overall system dynamics.

Abstract

This work continues a series of papers about a neural network that incorporates adaptive resonance theory (ART) as a system of ordinary differential equations. The original, Exact ART, requires huge computational resources even for small-scale tasks. However, for technological applications it is necessary to devise more efficient computing algorithms. Here we propose simplifications of the original subsystem responsible for bottom-up and top-down data matching. In effect we formulate and solve a substitution problem that preserves only those features, which are essential for the overall system dynamics.

참고문헌 (8)

  1. Carpenter, G.A., "ART-2: Self-organization of stable category recognition codes for analog input patterns", Applied Optics, 26, pp.4919~4930 (1988)
  2. Carpenter, G.A., "Adaptive resonance theory;The Handbook of Brain Theory and Neural Networks" (2002), MIT Press
  3. Georgiev, K., "Efficient orienting subsystem in an adaptive resonance theory (ART) neural network", Proceedings of the Bulgarian Academy of Sciences, pp.531~536 (2005)
  4. Grossberg, S., "Adaptive pattern classification and universal recoding: I. Parallel development and coding of neural feature detectors. Biological Cybernetics 23, 121-134. II. Feedback, expectation, olfaction, and illusions", Biological Cybernetics, 23, pp.187~202 (1976)
  5. Grossberg, S., "How does a brain build a cognitive code?", Psychological Review, 87, pp.1~51 (1980)
  6. Mengov, G., "Modelling neural signals with a generalized net", Advanced Studies in Contemporary Mathematics, 7(2), pp.155~166 (2003)
  7. Mengov, G., "Analytical solution of the resonance in an adaptive resonance theory (ART) neural system", Advanced Studies in Contemporary Mathematics, 10(1), pp.45~52 (2005)
  8. Raijmakers, M., "Exact ART: A complete implementation of an ART network", Neural Networks, 10(4), pp.649~669 (1997)

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