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Duda R.O., Hart P.E., Stork D.G. — Pattern Classification
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Название: Pattern ClassificationАвторы: Duda R.O., Hart P.E., Stork D.G.Аннотация: The first edition, published in 1973, has become a classic reference in the field. Now with the second edition, readers will find information on key new topics such as neural networks and statistical pattern recognition, the theory of machine learning, and the theory of invariances. Also included are worked examples, comparisons between different methods, extensive graphics, expanded exercises and computer project topics.
Язык: Рубрика: Computer science /Обработка изображений /Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Издание: second editionГод издания: 1999Количество страниц: 735Добавлена в каталог: 16.11.2005Операции: Положить на полку |
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see Matrix pseudoinverse see Correlation coefficient see Expectation Adjoint see Matrix adjoint Asymptotic lower bound see Lower bound asymptotic Asymptotic notation 35 Asymptotic tight bound see Tight bound asymptotic Asymptotic upper bound see Upper bound asymptotic Average see Expected value Bayes' rule 17 21 Bayes' rule, vector 19 Bienayme - Chebychev see Chebyshev's inequality Big oh 35 Big Omega 35 Big theta 35 Cauchy - Schwarz inequality 7 16 Central limit theorem 23 Chebyshev's inequality 13 Chi-square 31 Chi-square, table 32 Chi-squared statistic 31 Cofactor matrix see Matrix cofactor Complexity, space 36 Complexity, time 36 Computational complexity 34 - 36 Conditional probability see Probability conditional Confidence level 31 Convolution 22 Correlation, coefficient 16 28 30 Covariance 15 20 Covariance matrix see Matrix covariance Covariance, normalized 16 Cross entropy see Distance Kullback Cross moment see Covariance Density, Gaussian, bivariate 28 Density, Gaussian, conditional mean 30 Density, Gaussian, marginal 29 Density, Gaussian, mean 23 Density, Gaussian, univariate 23 Density, Gaussian, variance 23 Density, joint, singular 29 Distance, Euclidean 7 Distance, Kullback - Leibler 33 Distance, Mahalanobis 23 27 Distribution, Gaussian 23 Distribution, Gaussian, area 13 Distribution, Gaussian, covariance 28 Distribution, Gaussian, eigenvector 27 Distribution, Gaussian, moment 26 Distribution, Gaussian, multivariate 26 Distribution, Gaussian, principal axes 27 Distribution, Gaussian, univariate 23 Distribution, joint 18 Distribution, marginal 18 Distribution, maximum entropy 32 Distribution, prior 18 Dot product see Inner product Dyadic product see Matrix product Eigenvalue 11 Eigenvector 11 entropy 32 Entropy, continuous distribution 32 Entropy, discrete 33 Entropy, relative 33 Entropy, surprise 32 Error function 25 Euclidean norm see Distance Euclidean Events, mutually exclusive 17 evidence 18 Expectation, continuous 20 Expectation, entropy 32 Expectation, linearity 13 15 Expectation, vector 19 Expected value 13 Expected value, two variables 15 Factorial 25 Function, Dirac delta 33 Function, Gamma 25 Function, Kronecker 6 Function, vector valued 21 Gamma function see Function gamma Gaussian derivative 24 - 25 Gaussian, table 24 Gaussian, unidimensional 23 Gradient 8 Hessian matrix see Matrix Hessian Hypothesis testing 30 Hypothesis, null see Null hypothesis Identity matrix see matrix identity Independence, statistical 15 Independent variables, sum 22 Information theory 32 - 34 Information, bit see Bit Information, divergence see Distance Kullback Information, for discrimination see Distance Kullback Information, mutual 34 Inner product 7 Jacobian 8 Jacobian matrix see Matrix Jacobian Kronecker delta see Function Kronecker Kullback-Leibler see distance Kullback Lagrange optimization see Optimization Lagrange Lagrange undetermined multiplier 12 Law of total probability 17 Level curves 28 Likelihood 18 Linear independence 7 Linear independence, matrix columns 11 Little omega 35 Lower bound, asymptotic 35 Mahalanobis distance see Distance Mahalanobis Marginal 14 Marginal, distribution 14 Mass function, probability see Probability mass Matrix, addition 6 Matrix, adjoint 11 Matrix, anti-symmetric 6 Matrix, covariance 9 Matrix, covariance, determinant 27 28 Matrix, covariance, diagonal 20 21 26 Matrix, covariance, eigenvalues 20 Matrix, covariance, inverse 27 28 Matrix, derivative 8 - 9 Matrix, determinant 9 - 10 Matrix, determinant, hyper volume 9 Matrix, Hessian 9 Matrix, identity (I) 6 Matrix, inverse, derivative 8 Matrix, inversion 10 - 12 Matrix, Jacobian 8 Matrix, multiplication 6 Matrix, non-negative 6 Matrix, positive semi-definite 20 Matrix, product see Outer product Matrix, pseudoinverse 11 Matrix, skew-symmetric 6 Matrix, square 6 Matrix, symmetric 6 9 Matrix, trace 10 Maximum entropy 32 Mean see expected Value Mean vector see Vector mean Mean, calculation, computational complexity 34 Mean, two variables 15 Moment, cross see Covariance Moment, second 13 Multiple integral 21 Mutual information see Information mutual normal see Distribution Gaussian Null hypothesis 30 Optimization, Lagrange 12 Outer product 7 19 Principal axes see Axes principal Prior 18 Prior distribution see Distribution prior Probability theory 12 - 24 Probability, conditional 16 - 17 Probability, density 20 Probability, density, joint 21 Probability, joint 14 17 Probability, mass 16 20 Probability, mass function 12 Probability, mass, joint 14 Probability, total law see Bayes' rule Product space 14 Random variable, discrete 12 Random variable, vector 18 - 20 Scalar product see inner product Second moment see moment second Significance level see Confidence level Significance, statistical 30 Space-time tradeoff 36 Standard deviation 13 23 Statistic, chi-squared see Chi-squared statistic Statistical dependence 16 Statistical independence 16 20; statistical Statistical independence, expectation 16 Statistical independence, Gaussian 29 Statistical independence, vector 18 statistical significance see Significance statistical Surprise 32 Taylor series 9 Tight bound, asymptotic 35 Trace see Matrix trace TRANSPOSE 6 Unpredictability see entropy Upper bound, asymptotic 35 Variable, random, continuous 20 - 21 Variable, random, discrete 14 Variable, random, standardized 27 Variable, standardized 23 Variables, uncorrelated 16 Variance 13 Variance, nonlinearity 14 Variance, two variables 15 Vector 6 Vector analog 20 Vector product see Outer product Vector space, span 7 Vector, addition 6 Vector, colinearity 7 Vector, linearly independent 7 Vector, mean 19 Vector, orthogonal 7 Vector, space 7 z score 23
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