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T h e most commonly made 28 R. 0. 45) g w = (Wi x ) ci + 9 where w iis the ith weight vector, (wi , x) is the inner product of w iand x, and ci is a constant for the ith class (Nilsson, 1965). A vector x is classified by forming these rn linear functions, and by assigning x to the category corresponding to the largest discriminant function. 48) c assigning x to w1 if g ( x ) > 0 and to augmented vectors a and y by a = x) w2 if g ( x ) I:[ < 0. 50) we can write g(x) in the homogeneous form ‘The problem of designing such a classifier is the problem of finding an (augmented) weight vector a from a set of sample patterns.
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Decision making in markov chains applied to the problem of pattern recognition. IEEE Trans. Info. Theory 13, No. 4, pp. 536-551 (1967). Roberts, L. , Machine perception of three-dimensional solids. In “Optical and ElectroOptical Information Processing” (J. T. ) pp. 159-197. , 1965. , The perceptron: a perceiving and recognizing automaton. Report No. 85-460-1. Cornell Aeronautical Laboratory, Buffalo, New York, 1957. Sebestyen, G. , Pattern recognition by an adaptive process of sample set construction.