Learning Machines: Foundations of Trainable Pattern-classifying Systems |
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Sivu 72
By convergent we mean that when the pattern training subsets are linearly separable , the sequence of TLU weight vectors produced by the training procedure con- verges toward a solution weight vector . The fixed - increment and absolute ...
By convergent we mean that when the pattern training subsets are linearly separable , the sequence of TLU weight vectors produced by the training procedure con- verges toward a solution weight vector . The fixed - increment and absolute ...
Sivu 84
Certainly k can be no larger than km , which is a solution to the equation or kmM = km = km2a2 W2 MW2 a2 ( 5.21 ) Therefore , we have proved ( for Ŵ1 = 0 ) that the fixed - increment error - correction procedure must terminate ...
Certainly k can be no larger than km , which is a solution to the equation or kmM = km = km2a2 W2 MW2 a2 ( 5.21 ) Therefore , we have proved ( for Ŵ1 = 0 ) that the fixed - increment error - correction procedure must terminate ...
Sivu 86
... W ' Origin Pattern hyperplanes W.Y = ( M + b ) Solution region , W 2 W.Y = 0 2 FIGURE 5.1 A solution region W and an insulated region W as used in proof 2 of Theorem 5.1 Employing the fact that Ŵx + 1 = Ŵ1⁄2 + Ŷ and using Eq . ( 5 ...
... W ' Origin Pattern hyperplanes W.Y = ( M + b ) Solution region , W 2 W.Y = 0 2 FIGURE 5.1 A solution region W and an insulated region W as used in proof 2 of Theorem 5.1 Employing the fact that Ŵx + 1 = Ŵ1⁄2 + Ŷ and using Eq . ( 5 ...
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Sisältö
TRAINABLE PATTERN CLASSIFIERS | 1 |
SOME NONPARAMETRIC TRAINING METHODS | 65 |
TRAINING THEOREMS | 79 |
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adjusted apply assume bank called cells changes Chapter cluster column committee machine components consider consists contains correction corresponding covariance decision surfaces define denote density depends described dichotomies discriminant functions discussed distance distributions elements equal error-correction estimates example exist expression FIGURE fixed given implemented important initial layered machine linear machine linearly separable lines majority matrix mean measurements modes negative networks nonparametric normal Note optimum origin parameters partition pattern classifier pattern hyperplane pattern space pattern vector piecewise linear plane points positive presented probability problem properties PWL machine quadric regions respect response rule selection separable sequence side solution space Stanford step subsidiary discriminant Suppose 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 |