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- Trevor J. Hastie, Robert Tibshirani, Jerome H. Friedman
- Springer series in statistics
- 2009

Boosting Freund Schapire Schapire Singer is one of the most important recent developments in classi cation method ology The performance of many classi cation algorithms often can be dramatically improved by sequentially applying them to reweighted versions of the input data and taking a weighted majority vote of the sequence of classi ers thereby produced… (More)

The purpose of model selection algorithms such as All Subsets, Forward Selection and Backward Elimination is to choose a linear model on the basis of the same set of data to which the model will be applied. Typically we have available a large collection of possible covariates from which we hope to select a parsimonious set for the efficient prediction of a… (More)

- Trevor J. Hastie, Robert Tibshirani
- Statistical methods in medical research
- 1995

This article reviews flexible statistical methods that are useful for characterizing the effect of potential prognostic factors on disease endpoints. Applications to survival models and binary outcome models are illustrated.

- Hui Zou, Trevor J. Hastie
- 2004

We propose the elastic net, a new regularization and variable selection method. Real world data and a simulation study show that the elastic net often outperforms the lasso, while enjoying a similar sparsity of representation. In addition, the elastic net encourages a grouping effect, where strongly correlated predictors tend to be in or out of the model… (More)

- Thérese Sørlie, CM Perou, +14 authors Anne-Lise Børresen-Dale
- Proceedings of the National Academy of Sciences…
- 2001

The purpose of this study was to classify breast carcinomas based on variations in gene expression patterns derived from cDNA microarrays and to correlate tumor characteristics to clinical outcome. A total of 85 cDNA microarray experiments representing 78 cancers, three fibroadenomas, and four normal breast tissues were analyzed by hierarchical clustering.… (More)

- Jerome H. Friedman, Trevor J. Hastie, Robert Tibshirani
- Biostatistics
- 2008

We consider the problem of estimating sparse graphs by a lasso penalty applied to the inverse covariance matrix. Using a coordinate descent procedure for the lasso, we develop a simple algorithm--the graphical lasso--that is remarkably fast: It solves a 1000-node problem ( approximately 500,000 parameters) in at most a minute and is 30-4000 times faster… (More)

- Jerome H. Friedman, Trevor J. Hastie, Rob Tibshirani
- Journal of statistical software
- 2010

We develop fast algorithms for estimation of generalized linear models with convex penalties. The models include linear regression, two-class logistic regression, and multinomial regression problems while the penalties include ℓ(1) (the lasso), ℓ(2) (ridge regression) and mixtures of the two (the elastic net). The algorithms use cyclical coordinate descent,… (More)

- Robert Tibshirani, Trevor J. Hastie, Balasubramanian Narasimhan, Gilbert Chu
- Proceedings of the National Academy of Sciences…
- 2002

We have devised an approach to cancer class prediction from gene expression profiling, based on an enhancement of the simple nearest prototype (centroid) classifier. We shrink the prototypes and hence obtain a classifier that is often more accurate than competing methods. Our method of "nearest shrunken centroids" identifies subsets of genes that best… (More)

- Therese Sorlie, Robert Tibshirani, +13 authors David Botstein
- Proceedings of the National Academy of Sciences…
- 2003

Characteristic patterns of gene expression measured by DNA microarrays have been used to classify tumors into clinically relevant subgroups. In this study, we have refined the previously defined subtypes of breast tumors that could be distinguished by their distinct patterns of gene expression. A total of 115 malignant breast tumors were analyzed by… (More)