A fuzzy approximation scheme for sequential learning in pattern recognition

Devi, B. B. ; Sarma, V. V. S. (1986) A fuzzy approximation scheme for sequential learning in pattern recognition IEEE Transactions on Systems, Man, and Cybernetics, 16 (5). pp. 668-679. ISSN 0018-9472

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Related URL: http://dx.doi.org/10.1109/TSMC.1986.289311


An adaptive learning scheme, based on a fuzzy approximation to the gradient descent method for training a pattern classifier using unlabeled samples, is described. The objective function defined for the fuzzy ISODATA clustering procedure is used as the loss function for computing the gradient. Learning is based on simultaneous fuzzy decisionmaking and estimation. It uses conditional fuzzy measures on unlabeled samples. An exponential membership function is assumed for each class, and the parameters constituting these membership functions are estimated, using the gradient, in a recursive fashion. The induced possibility of occurrence of each class is useful for estimation and is computed using 1) the membership of the new sample in that class and 2) the previously computed average possibility of occurrence of the same class. An inductive entropy measure is defined in terms of induced possibility distribution to measure the extent of learning. The method is illustrated with relevant examples.

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