Learning Machines: Foundations of Trainable Pattern-classifying Systems |
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We shall not consider in this book any mappings requiring an infinite number of decision surfaces or any mappings that cannot be described by such surfaces . * In general , * The mapping which takes all points having one or more ...
We shall not consider in this book any mappings requiring an infinite number of decision surfaces or any mappings that cannot be described by such surfaces . * In general , * The mapping which takes all points having one or more ...
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2.2 Linear discriminant functions Let us consider first the family of discriminant functions of the form W1X1 + W2X2 + + waxa + wa + 1 g ( X ) = ( 2 · 2 ) This function is a linear function of the components of X ; we shall denote ...
2.2 Linear discriminant functions Let us consider first the family of discriminant functions of the form W1X1 + W2X2 + + waxa + wa + 1 g ( X ) = ( 2 · 2 ) This function is a linear function of the components of X ; we shall denote ...
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... case of discriminant functions which we shall call piecewise linear , we shall first consider those of a minimum - distance classifier with respect to point sets . i = Suppose we are given R finite point sets P1 , 9 P2 , PR .
... case of discriminant functions which we shall call piecewise linear , we shall first consider those of a minimum - distance classifier with respect to point sets . i = Suppose we are given R finite point sets P1 , 9 P2 , PR .
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Sisältö
TRAINABLE PATTERN CLASSIFIERS | 1 |
PARAMETRIC TRAINING METHODS | 43 |
SOME NONPARAMETRIC TRAINING METHODS | 65 |
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adjusted apply assume bank called cells changes Chapter classifier cluster column committee machine components consider consists contains correction corresponding covariance decision surfaces define denote density depends described discriminant functions discussed distance distributions elements equal error-correction estimates example exist expression FIGURE fixed given implemented initial layered machine linear machine linearly separable lines majority matrix mean measurements modes negative networks nonparametric normal Note optimum origin parameters partition pattern hyperplane pattern space pattern vector pattern-classifying piecewise linear plane points positive presented probability problem properties PWL machine quadric regions respect response rule selection separable sequence side solution space step subsidiary discriminant Suppose terns theorem theory threshold training methods training patterns training procedure training sequence training subsets transformation values weight vectors X1 and X2 Y₁ zero
Viitteet tähän teokseen
A Probabilistic Theory of Pattern Recognition Luc Devroye,László Györfi,Gabor Lugosi Rajoitettu esikatselu - 1997 |