Learning Machines: Foundations of Trainable Pattern-classifying Systems |
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6 The bivariate normal probability - density function , 50 3 . 7 The multivariate
normal distribution , 54 3 . 8 The optimum classifier for normal patterns , 55 3 . 9
Some special cases involving identical covariance matrices , 56 3 . 10 Training
with ...
6 The bivariate normal probability - density function , 50 3 . 7 The multivariate
normal distribution , 54 3 . 8 The optimum classifier for normal patterns , 55 3 . 9
Some special cases involving identical covariance matrices , 56 3 . 10 Training
with ...
Sivu 50
6 The bivariate normal probability - density function In the example of Sec . 3 - 5 ,
we assumed that the pattern components were statistically independent , binary ,
random variables . Such an assumption permitted a straightforward calculation ...
6 The bivariate normal probability - density function In the example of Sec . 3 - 5 ,
we assumed that the pattern components were statistically independent , binary ,
random variables . Such an assumption permitted a straightforward calculation ...
Sivu 54
3 : 7 The multivariate normal distribution The matrix notation of the last section
has a direct parallel in the case in which the number of pattern components is
greater than two . There is a multivariate normal distribution which describes the
joint ...
3 : 7 The multivariate normal distribution The matrix notation of the last section
has a direct parallel in the case in which the number of pattern components is
greater than two . There is a multivariate normal distribution which describes the
joint ...
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Preface vii | 1 |
SOME NONPARAMETRIC TRAINING METHODS | 65 |
TRAINING THEOREMS | 79 |
Tekijänoikeudet | |
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adjusted apply assume bank belonging to category called changes Chapter cluster committee components consider consists contains correction corresponding covariance decision surfaces define denote density depends derivation described Development discriminant functions discussed distance distribution element equal error-correction estimates example exists expression FIGURE fixed given implemented important initial layered machine linear dichotomies linear machine linearly separable matrix measurements negative networks normal Note optimum origin parameters partition pattern classifier pattern hyperplane pattern space pattern vector piecewise linear plane points positive presented probability problem proof properties proved PWL machine quadric reduced regions respect response rule sample mean selection separable shown side solution space Stanford step Suppose theorem theory threshold training methods training procedure training sequence training subsets transformation values weight vectors zero