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Activity Number: 139
Type: Topic Contributed
Date/Time: Monday, July 30, 2007 : 10:30 AM to 12:20 PM
Sponsor: Section on Nonparametric Statistics
Abstract - #308375
Title: Consistent Learning Methods Are Approximately Local
Author(s): Yaacov Ritov*+ and Alon Zakai
Companies: The Hebrew University of Jerusalem and The Hebrew University of Jerusalem
Address: Department of Statistics, Jerusalem, 91905, Israel
Keywords: Nonparametric ; Classification ; SVM
Abstract:

We investigate the following learning-theoretical statement: We call a learning method local if, given a training set, it produces an estimate for a particular point that depends only on close-by points from the training set. We formally define this concept in several ways and show several theoretical results relating to those definitions, in particular that any consistent method is very close to being local.


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