| Preface 1 Introduction 2 Overview of Supervised Learning 2.1 Introduction 2.2 Variable Types and Terminology 2.3 Two Simple Approaches to Prediction: Least Squares and Nearest Neighbors 2.3.1 Linear Models and Least Squares 2.3.2 Nearest-Neighbor Methods 2.3.3 From Least Squares to Nearest Neighbors 2.4 Statistical Decision Theory 2.5 Local Methods in High Dimensions 2.6 Statistical Models, Supervised Learning and Function Approximation 2.6.1 A Statistical Model for the Joint Distribution Pr(X,Y) 2.6.2 Supervised Learning 2.6.3 Function Approximation 2.7 Structured Regression Models 2.7.1 Difficulty of the Problem 2.8 Classes of Restricted Estimators 2.8.1 Roughness Penalty and Bayesian Methods 2.8.2 Kernel Methods and Local Regression 2.8.3 Basis Functions and Dictionary Methods 2.9 Model Selection and the Bias-Variance Tradeoff Bibliographic Notes Exercises 3 Linear Methods for Regression 3.1 Introduction 3.2 Linear Regression Models and Least Squares 3.2.1 Example：Prostate Cancer 3.2.2 The Ganss-Markov Theorem 3.3 Multiple Regression from Simple Univariate Regression 3.3.1 Multiple Outputs 3.4 Subset Selection and Coefficient Shrinkage 3.4.1 Subset Selection 3.4.2 Prostate Cancer Data Example fContinued) 3.4.3 Shrinkage Methods 3.4.4 Methods Using Derived Input Directions 3.4.5 Discussion：A Comparison of the Selection and Shrinkage Methods 3.4.6 Multiple Outcome Shrinkage and Selection 3.5 Compntational Considerations Bibliographic Notes Exercises 4 Linear Methods for Classification 4.1 Introduction 4.2 Linear Regression of an Indicator Matrix 4.3 Linear Discriminant Analysis 4.3.1 Regularized Discriminant Analysis 4.3.2 Computations for LDA 4.3.3 Reduced-Rank Linear Discriminant Analysis 4.4 Logistic Regression 4.4.1 Fitting Logistic Regression Models 4.4.2 Example：South African Heart Disease 4.4.3 Quadratic Approximations and Inference 4.4.4 Logistic Regression or LDA7 4.5 Separating Hyper planes 4.5.1 Rosenblatt's Perceptron Learning Algorithm 4.5.2 Optimal Separating Hyper planes Bibliographic Notes Exercises 5 Basis Expansions and Regularizatlon 5.1 Introduction 5.2 Piecewise Polynomials and Splines 5.2.1 Natural Cubic Splines 5.2.2 Example: South African Heart Disease (Continued) 5.2.3 Example: Phoneme Recognition 5.3 Filtering and Feature Extraction 5.4 Smoothing Splines 5.4.1 Degrees of Freedom and Smoother Matrices 5.5 Automatic Selection of the Smoothing Parameters 5.5.1 Fixing the Degrees of Freedom 5.5.2 The Bias-Variance Tradeoff 5.6 Nonparametric Logistic Regression 5.7 Multidimensional Splines 5.8 Regularization and Reproducing Kernel Hilbert Spaces . . 5.8.1 Spaces of Phnctions Generated by Kernels 5.8.2 Examples of RKHS 5.9 Wavelet Smoothing 5.9.1 Wavelet Bases and the Wavelet Transform 5.9.2 Adaptive Wavelet Filtering Bibliographic Notes Exercises Appendix: Computational Considerations for Splines Appendix: B-splines Appendix: Computations for Smoothing Splines 6 Kernel Methods 7 Model Assessment and Selection 8 Model Inference and Averaging 9 Additive Models, Trees, and Related Methods 10 Boosting and Additive Trees 11 Neural Networks 12 Support Vector Machines and Flexible Discriminants 13 Prototype Methods and Nearest-Neighbors 14 Unsupervised Learning References Author Index Index |
内容加载中，请稍后...
商品评论（0条）