Learning Machines: Foundations of Trainable Pattern-classifying Systems |
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5.5 A training theorem for R - category linear machines Suppose we are given R finite subsets of augmented training pattern vec- tors Y1 , Y2 , YR . These subsets are linearly separable if and only if there exist R solution weight ...
5.5 A training theorem for R - category linear machines Suppose we are given R finite subsets of augmented training pattern vec- tors Y1 , Y2 , YR . These subsets are linearly separable if and only if there exist R solution weight ...
Sivu 119
It should be observed that if the two density func- tions overlap sufficiently , it is likely that this optimum decision surface will not perfectly separate all the members of the two training subsets . If we were willing to assume ...
It should be observed that if the two density func- tions overlap sufficiently , it is likely that this optimum decision surface will not perfectly separate all the members of the two training subsets . If we were willing to assume ...
Sivu 120
function that depends on the geometric arrangement of the patterns in the training subsets . Many of these nonparametric rules actually lead to the same discriminant functions that would be obtained by parametric training and the ...
function that depends on the geometric arrangement of the patterns in the training subsets . Many of these nonparametric rules actually lead to the same discriminant functions that would be obtained by parametric training and the ...
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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 |