JSM 2011 Online Program

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Abstract Details

Activity Number: 223
Type: Topic Contributed
Date/Time: Monday, August 1, 2011 : 2:00 PM to 3:50 PM
Sponsor: Section on Statistical Learning and Data Mining
Abstract - #300526
Title: Random Forests
Author(s): Gérard Biau*+
Companies: Université Pierre et Marie Curie
Address: Boîte 158, Tour 15-25, Paris, 75252, France
Keywords: Random forests ; Statistical learning ; Sparsity ; Regression estimation ; Tree ; Aggregation
Abstract:

Random forests are a scheme proposed by Leo Breiman in the 00's for building a predictor ensemble with a set of decision trees that grow in randomly selected subspaces of data. Despite growing interest and practical use, there has been little exploration of the statistical properties of random forests, and little is known about the mathematical forces driving the algorithm. In this talk, we offer an in-depth analysis of a random forests model suggested by Breiman in 04, which is very close to the original algorithm. We show in particular that the procedure is consistent and adapts to sparsity, in the sense that its rate of convergence depends only on the number of strong features and not on how many noise variables are present.


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