Learning Machines: Foundations of Trainable Pattern-classifying SystemsMcGraw-Hill, 1965 - 137 sivua |
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Sivu 47
... expression which leads to the same decisions since the log function is a monotonic- increasing function of its ... expressions for the discriminant functions . Substitution of Eq . ( 3.9 ) into Eq . ( 3.8 ) yields g ( X ) = log Σ JOR [ P ...
... expression which leads to the same decisions since the log function is a monotonic- increasing function of its ... expressions for the discriminant functions . Substitution of Eq . ( 3.9 ) into Eq . ( 3.8 ) yields g ( X ) = log Σ JOR [ P ...
Sivu 52
... expression for the bivariate normal density function for the unnormalized and untranslated variables x and x2 is more complicated * than that of Eq . ( 3.18 ) , but the general properties of the function are easily described . The ...
... expression for the bivariate normal density function for the unnormalized and untranslated variables x and x2 is more complicated * than that of Eq . ( 3.18 ) , but the general properties of the function are easily described . The ...
Sivu 54
... expression for the d - variate normal proba- bility distribution is almost identical in form to that of Eq . ( 3 · 21 ) . It is the following : 1 p ( X ) = ( 2π ) α / 21⁄2 exp - 2 ( X - M ) ' 1 ( X - M ) } The various terms used in Eq ...
... expression for the d - variate normal proba- bility distribution is almost identical in form to that of Eq . ( 3 · 21 ) . It is the following : 1 p ( X ) = ( 2π ) α / 21⁄2 exp - 2 ( X - M ) ' 1 ( X - M ) } The various terms used in Eq ...
Sisältö
TRAINABLE PATTERN CLASSIFIERS | 1 |
PARAMETRIC TRAINING METHODS | 43 |
SOME NONPARAMETRIC TRAINING METHODS | 65 |
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adjusted assume augmented pattern belonging to category binary called Chapter cluster committee machine components Cornell Aeronautical Laboratory correction increment covariance matrix d-dimensional decision regions decision surfaces denote density function discussed dot products equal error-correction procedure Euclidean distance example Fix and Hodges fixed-increment error-correction function family g₁(X gi(X given hypersphere image-space implemented initial weight vectors layered machine linear dichotomies linear discriminant functions linearly separable loss function Lx(i mean vector minimum-distance classifier number of linear number of patterns optimum classifier parameters partition pattern classifier pattern hyperplane pattern points pattern space pattern vector pattern-classifying machines patterns belonging Perceptron piecewise linear point sets positive probability distributions prototype pattern PWL machine quadratic form quadric discriminant function quadric function sample covariance matrix solution weight vector Stanford subsets X1 Suppose training patterns training sequence training set training subsets values W₁ wa+1 weight point weight space X₁ X1 and X2 zero
Viitteet tähän teokseen
A Probabilistic Theory of Pattern Recognition Luc Devroye,László Györfi,Gabor Lugosi Rajoitettu esikatselu - 1997 |