A piecewise linear function is represented in terms of a set of linear functions through the use of the maximum and minimum functions. A procedure for finding piecewise linear discriminant functions for pattern recognition is described. The procedure iteratively uses the accelerated relaxation method to find every linear function in a piecewise linear function. The procedure was implemented by a Fortran program. Experimental results with the program showed that the procedure is promising for obtaining piecewise linear discriminant functions.
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Chin-Liang Chang (1973) studied this question.
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