Learning Machines: Foundations of Trainable Pattern-classifying Systems |
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equal to zero only for X = 0 ( ) 0 When these conditions are met , both the matrix A and the quadratic form are called positive definite . If A has one or more of its eigenvalues equal to zero and all the others positive , then the ...
equal to zero only for X = 0 ( ) 0 When these conditions are met , both the matrix A and the quadratic form are called positive definite . If A has one or more of its eigenvalues equal to zero and all the others positive , then the ...
Sivu 101
Thus , if Y causes a majority of the committee TLUS to respond negatively , we adjust the 2 ( | N | + 1 ) weight vectors making the least- negative ( but not positive ) dot products with Yk . If the weight vector W ( ) is among this set ...
Thus , if Y causes a majority of the committee TLUS to respond negatively , we adjust the 2 ( | N | + 1 ) weight vectors making the least- negative ( but not positive ) dot products with Yk . If the weight vector W ( ) is among this set ...
Sivu 127
APPENDIX AN ALTERNATIVE IMPLEMENTATION OF QUADRIC DISCRIMINANT FUNCTIONS A 1 Separation of a quadratic form into positive and negative parts Consider the quadric function g ( X ) = X'AX + B'X + C ( A - 1 ) where A is a real , d X d ...
APPENDIX AN ALTERNATIVE IMPLEMENTATION OF QUADRIC DISCRIMINANT FUNCTIONS A 1 Separation of a quadratic form into positive and negative parts Consider the quadric function g ( X ) = X'AX + B'X + C ( A - 1 ) where A is a real , d X d ...
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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 |