
By K. S. Fu
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Duda and Fossum [33] have suggested an errorcorrection training procedure, though without convergence proof, for piecewise linear classifiers. Instead of applying training patterns sequentially, training procedures with patterns applied in groups 22 1. INTRODUCTION have been proposed [34]-[36]. In general, group-pattern training procedures converge to the optimum weight vector in less number of iterations than that using single-pattern (applied sequentially) training procedures. The trade-off is the increase of computations and storage requirement.
K. S. Fu, Y. T. Chien, Z. J. Nikolic, and W. G. Wee, On the stochastic approximation and related learning techniques. Tech. Rept. TR-EE666. , Lafayette, Indiana, April 1966. 16. R. A. Wijsman, A monotonicity property of the sequential probability ratio test. Ann. Math. Statist. 31. 677-684 (1960). 17. K. S. Fu and C. H. Chen, Pattern recognition and machine learning using REFERENCES 23 sequential decision approach. Tech. Rept. TR-EE65-9. School of Elec. , Lafayette, Indiana, April 1964. 18. T. Marill and D.
For the simplicity of computation, instead of A,, log A, is computed. 49) 16 1. 51) and if then x2 will be taken and the process is proceeding to the second stage. 54) and if then x3 will be taken and the process is proceeding to the third stage. 5. SEQUENTIAL MODEL FOR PATTERN CLASSIFICATION 17 The classification procedure becomes such that if c xi < n i=l 02 m1- m2 log B + f (m,+ m2), then X - w2 (1 -57) and if then x , + ~ will be taken. 57) with equality signs, are two parallel hyperplanes in the feature space.