Abstract
The notion of approximator rejection is described, and applied to a neural network. For a real world classification problem the residual error is shown to decrease with the inverse exponential of the fraction of patterns rejected. The trade-off of “good” patterns rejected and “bad” patterns rejected is shown to increase approximately linearly with rejection rate. A compromise is therefore necessary between trade-off/rejection rate and residual error. A meta-level solution is proposed for removal of the residual error, through use of a modular system of parallel approximators.
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U. Beyer and F. J. Śmieja. Quantitative aspects of data-driven information processing. Technical Report #812, Gesellschaft für Mathematik und Datenverarbeitung, St Augustin, Germany, March 1993.
S. Hubrig-Schaumburg. Handwritten character recognition using a reflective modular neural network system. Master's thesis, Bonn University, Germany, 1992.
R. P. Lippmann. An introduction to computing with neural nets. IEEE ASSP Magazine, April 1987.
H. Mühlenbein. Editorial. Parallel Computing, 14(3):247–248, August 1990. special edition on neural networks.
D. E. Rumelhart, G. E. Hinton, and R. J. Williams. Learning internal representations by error propagation. Nature, 323(533), 1986.
O. G. Selfridge. Pandemonium: a paradigm for learning. In The Mechanisation of Thought Processes: Proceedings of a Symposium Held at the National Physical Laboratory, November 1958, pages 511–527, London: HMSO, 1958.
F. J. Śmieja. Neural network constructive algorithms: Trading generalization for learning efficiency? Circuits, Systems and Signal Processing, 12(2):331–374, 1993.
F. J. Śmieja and H. Mühlenbein. The geometry of multilayer perceptron solutions. Parallel Computing, 14:261–275, 1990.
F. J. Śmieja and H. Mühlenbein. Reflective modular neural network systems. Technical Report #633, GMD, Sankt Augustin, Germany, February 1992.
F. Weber. Self-reflective exploration of the kinematics of a two-joint robot arm. Diplomarbeit, University of Bonn, Germany, 1992. in German.
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Śmieja, F.J. (1993). Rejection of incorrect answers from a neural net classifier. In: Mira, J., Cabestany, J., Prieto, A. (eds) New Trends in Neural Computation. IWANN 1993. Lecture Notes in Computer Science, vol 686. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-56798-4_196
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DOI: https://doi.org/10.1007/3-540-56798-4_196
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