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Info. Theory 13, No. 2, pp. 278-284 (1967). , The divergence and Bhattacharyya distance measures in signal selection. IEEE Trans. Comm. Tech. 15, No. 1, pp. 52-60 (1967). Koford, J. S. and Groner, G. , The use of an adaptive threshold element to design a linear optimal pattern classifier. IEEE Trans. Info. Theory 12, No. 1, pp. 42-50 ( 1966). Lewis, P. , The characteristic selection problem in recognition systems. I R E Trans. Info. Theory 8, No. 2, pp. 171-179 (1962). Liu, C. , A programmed algorithm for designing multifont character recognition logics.
X, 1 Ftn) = the cost of continuing the sequential recognition process at the nth stage, when Fin is selected. , x, when Ftn is selected. , x, on the sequence of features Ftn . , x,; di 1 Ftn) If the classifier decides to take an additional measurement, then the measurement must be optimally selected from the remaining features F, in order to minimize the risk. 40) Again, Eq. 40) can be recursively solved by setting the terminal condition to be and computing backwards for risk functions R , , n < N.
C. Classijication 1. The formal solution. Once a set of features has been selected, the only problem remaining is to design the classifier. T h is task can be approached in a variety of ways, depending upon the assumptions that can be made about the nature of the problem. Most of these approaches can be viewed in a statistical setting in which the n-component feature vector x is assumed to be a random vector. , m. , m. If all errors are equally costly, minimizing the risk is equivalent to minimizing the probability of error.
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