The Elements of Statistical Learning: Data Mining, Inference, and Prediction, Second EditionDuring the past decade there has been an explosion in computation and information technology. With it have come vast amounts of data in a variety of fields such as medicine, biology, finance, and marketing. The challenge of understanding these data has led to the development of new tools in the field of statistics, and spawned new areas such as data mining, machine learning, and bioinformatics. Many of these tools have common underpinnings but are often expressed with different terminology. This book describes the important ideas in these areas in a common conceptual framework. While the approach is statistical, the emphasis is on concepts rather than mathematics. Many examples are given, with a liberal use of color graphics. It is a valuable resource for statisticians and anyone interested in data mining in science or industry. The book's coverage is broad, from supervised learning (prediction) to unsupervised learning. The many topics include neural networks, support vector machines, classification trees and boosting---the first comprehensive treatment of this topic in any book. This major new edition features many topics not covered in the original, including graphical models, random forests, ensemble methods, least angle regression & path algorithms for the lasso, non-negative matrix factorization, and spectral clustering. There is also a chapter on methods for ``wide'' data (p bigger than n), including multiple testing and false discovery rates. Trevor Hastie, Robert Tibshirani, and Jerome Friedman are professors of statistics at Stanford University. They are prominent researchers in this area: Hastie and Tibshirani developed generalized additive models and wrote a popular book of that title. Hastie co-developed much of the statistical modeling software and environment in R/S-PLUS and invented principal curves and surfaces. Tibshirani proposed the lasso and is co-author of the very successful An Introduction to the Bootstrap. Friedman is the co-inventor of many data-mining tools including CART, MARS, projection pursuit and gradient boosting. |
From inside the book
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... 587 592 592 593 595 596 597 597 600 602 603 605 605 607 607 610 613 616 617 622 623 624 625 625 627 630 631 635 638 639 641 642 643 645 649 649 18.2 Diagonal Linear Discriminant Analysis and Nearest Shrunken Centroids . Contents xxi.
... Centroids . . . . . . . . . . . . . . 651 18.3 Linear Classifiers with Quadratic Regularization . . . . . 654 18.3.1 Regularized Discriminant Analysis . . . . . . . . 656 18.3.2 Logistic Regression with Quadratic Regularization ...
... centroids, fθ(x) = Kλm (μm ,x)θ m; (2.44) M∑ m=1 for example, the Gaussian kernel Kλ(μ, x) = e−||x−μ||2/2λ is popular. Radial basis functions have centroids μm and scales λm that have to be determined. The spline basis functions have ...
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Contents
1 | |
9 | |
43 | |
4 Linear Methods for Classification | 100 |
5 Basis Expansions and Regularization | 139 |
6 Kernel Smoothing Methods | 190 |
7 Model Assessment and Selection | 219 |
8 Model Inference and Averaging | 261 |
12 Support Vector Machines and Flexible Discriminants | 417 |
13 Prototype Methods and NearestNeighbors | 459 |
14 Unsupervised Learning | 485 |
15 Random Forests | 586 |
16 Ensemble Learning | 605 |
17 Undirected Graphical Models | 625 |
p N | 649 |
References | 699 |
9 Additive Models Trees and Related Methods | 295 |
10 Boosting and Additive Trees | 337 |
11 Neural Networks | 388 |
Author Index | 729 |
Index | 737 |