Learning Machines: Foundations of Trainable Pattern-classifying Systems |
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the decision surfaces divide Ed into R regions which we shall call decision regions . The ith region R ; is the set of points which map into the ith cate- gory number .. For convenience , we shall arbitrarily assume that patterns which ...
the decision surfaces divide Ed into R regions which we shall call decision regions . The ith region R ; is the set of points which map into the ith cate- gory number .. For convenience , we shall arbitrarily assume that patterns which ...
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2.9 Quadric decision surfaces The decision surfaces of quadric machines are sections of second - degree surfaces ... Specifically , if R , and R , share a common boundary , it is a section of the surface S1 , given by an equation of the ...
2.9 Quadric decision surfaces The decision surfaces of quadric machines are sections of second - degree surfaces ... Specifically , if R , and R , share a common boundary , it is a section of the surface S1 , given by an equation of the ...
Sivu 119
If the covariance matrices of the normal densities are equal , then the decision surface which minimizes the probability of error is a hyper- plane perpendicular to the line segment joining the means of the two density functions .
If the covariance matrices of the normal densities are equal , then the decision surface which minimizes the probability of error is a hyper- plane perpendicular to the line segment joining the means of the two density functions .
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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 |