Learning Machines: Foundations of Trainable Pattern-classifying Systems |
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i where N is the number of patterns in the training subset X ;; ( X ) ; is called the sample mean ( or center of gravity ) of the ith category , and ( E ) ; is called the sample covariance matrix of the ith category .
i where N is the number of patterns in the training subset X ;; ( X ) ; is called the sample mean ( or center of gravity ) of the ith category , and ( E ) ; is called the sample covariance matrix of the ith category .
Sivu 59
derived from the training set as if they were the known means and co- variance matrices . ... Suppose the pattern vectors belonging to category i are normal with known covariance matrix ; and unknown mean vector .
derived from the training set as if they were the known means and co- variance matrices . ... Suppose the pattern vectors belonging to category i are normal with known covariance matrix ; and unknown mean vector .
Sivu 128
metric matrix A there exists a square real , orthogonal matrix T such that T'AT = A ( A - 3 ) where A is a real , diagonal matrix . Moreover , I can always be selected so that the first p1 diagonal elements of A are positive , the next ...
metric matrix A there exists a square real , orthogonal matrix T such that T'AT = A ( A - 3 ) where A is a real , diagonal matrix . Moreover , I can always be selected so that the first p1 diagonal elements of A are positive , the next ...
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Sisältö
TRAINABLE PATTERN CLASSIFIERS | 1 |
PARAMETRIC TRAINING METHODS | 43 |
SOME NONPARAMETRIC TRAINING METHODS | 65 |
Tekijänoikeudet | |
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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 |