Learning Machines: Foundations of Trainable Pattern-classifying Systems |
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2.13 The number of linear dichotomies of N points of ɗ dimensions We shall begin by calculating the number of dichotomies of N patterns achievable by a linear discriminant function ( i.e. , a TLU ) . Recall that each of these ...
2.13 The number of linear dichotomies of N points of ɗ dimensions We shall begin by calculating the number of dichotomies of N patterns achievable by a linear discriminant function ( i.e. , a TLU ) . Recall that each of these ...
Sivu 33
Assume that we have a set X ' of N1 points X1 , X2 , . . . , XN - 1 in general position in Ed . There are L ( N1 , d ) linear dichotomies of X ' . We wish to find out by how much this number of linear dichotomies is increased if the set ...
Assume that we have a set X ' of N1 points X1 , X2 , . . . , XN - 1 in general position in Ed . There are L ( N1 , d ) linear dichotomies of X ' . We wish to find out by how much this number of linear dichotomies is increased if the set ...
Sivu 67
Therefore , each region in weight space corresponds to a different linear dichotomy of the N patterns ... dichotomies of N d - dimensional pat- terns implementable by a TLU , that is , the number of linear dichotomies of N pat- terns .
Therefore , each region in weight space corresponds to a different linear dichotomy of the N patterns ... dichotomies of N d - dimensional pat- terns implementable by a TLU , that is , the number of linear dichotomies of N pat- terns .
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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 |