目录 List of code fragments Preface Part Ⅰ Basic concepts 1 Pattern analysis 1.1 Patterns in data 1.2 Pattern analysis algorithms 1.3 Exploiting patterns 1.4 Summary 1.5 Further reading and advanced topics 2 Kernel methods: an overview 2.1 The overall picture 2.2 Linear regression in a feature space 2.3 Other examples 2.4 The modularity of kernel methods 2.5 Roadmap of the book 2.6 Summary 2.7 Further reading and advanced topics 3 Properties of kernels 3.1 Inner products and positive semi-definite matrices 3.2 Characterisation of kernels 3.3 The kernel matrix 3.4 Kernel construction 3.5 Summary 3.6 Further reading and advanced topics 4 Detecting stable patterns 4.1 Concentration inequalities 4.2 Capacity and regularisation: Rademacher theory 4.3 Pattern stability for kernel-based classes 4.4 A pragmatic approach 4.5 Summary 4.6 Further reading and advanced topics Part Ⅱ Pattern analysis algorithms 5 Elementary algorithms in feature space 5.1 Means and distances 5.2 Computing projections: Gram-Schmidt, QR and Cholesky 5.3 Measuring the spread of the data 5.4 Fisher discriminant analysis Ⅰ 5.5 Summary 5.6 Further reading and advanced topics 6 Pattern analysis using eigen-decompositions 6.1 Singular value decomposition 6.2 Principal components analysis 6.3 Directions of maximum covariance 6.4 The generalised eigenvector problem 6.5 Canonical correlation analysis 6.6 Fisher discriminant analysis Ⅱ 6.7 Methods for linear regression 6.8 Summary 6.9 Further reading and advanced topics 7 Pattern analysis using convex Optimisation
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