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Robert Tibshirani Books

2 books·~20 min total read

Trevor Hastie and Robert Tibshirani are professors of statistics at Stanford University, known for their influential contributions to statistical learning theory and methods.

Known for: Statistical Learning with Sparsity: The Lasso and Generalizations, The Elements of Statistical Learning: Data Mining, Inference, and Prediction

Key Insights from Robert Tibshirani

1

The Birth of Sparsity: Historical Roots and Conceptual Foundation of the Lasso

The story of the Lasso begins with the challenge of high-dimensional statistics. Classical linear regression worked beautifully when the number of observations far exceeded the number of variables, but as scientists began to collect richer data, we soon found ourselves in situations where predictors...

From Statistical Learning with Sparsity: The Lasso and Generalizations

2

Mathematical Formulation and Geometry of the Lasso

Let us step inside the mathematics. The classical Lasso problem can be formulated as a constrained optimization: minimize the residual sum of squares subject to an upper bound on the L1 norm of the coefficients. Equivalently, one may view it as a penalized optimization, adding the L1 norm times a re...

From Statistical Learning with Sparsity: The Lasso and Generalizations

3

Linear Methods for Regression: From Least Squares to Modern Extensions

Linear regression is the oldest and perhaps most enduring method in statistical learning. It begins with a simple, powerful idea: that the expected value of a response can be expressed as a linear combination of predictors. This idea is so natural that it seems inevitable — and yet even this foundat...

From The Elements of Statistical Learning: Data Mining, Inference, and Prediction

4

Classification and Decision Boundaries: From Logistic Regression to Discriminant Analysis

Classification brings a new flavor to learning, where outcomes are labels rather than numeric values. The task is not to estimate a response, but to assign categories based on observed features. Logistic regression emerges as the natural analogue of linear regression for this setting — a model groun...

From The Elements of Statistical Learning: Data Mining, Inference, and Prediction

About Robert Tibshirani

Trevor Hastie and Robert Tibshirani are professors of statistics at Stanford University, known for their influential contributions to statistical learning theory and methods.

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Trevor Hastie and Robert Tibshirani are professors of statistics at Stanford University, known for their influential contributions to statistical learning theory and methods.

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