Ranking and scoring using empirical risk minimization

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

A general model is proposed for studying ranking problems. We investigate learning methods based on empirical minimization of the natural estimates of the ranking risk. The empirical estimates are of the form of a U-statistic. Inequalities from the theory of U-statistics and U-processes are used to obtain performance bounds for the empirical risk minimizers. Convex risk minimization methods are also studied to give a theoretical framework for ranking algorithms based on boosting and support vector machines. Just like in binary classification, fast rates of convergence are achieved under certain noise assumption. General sufficient conditions are proposed in several special cases that guarantee fast rates of convergence.

Original languageEnglish
Title of host publicationLearning Theory - 18th Annual Conference on Learning Theory, COLT 2005, Proceedings
PublisherSpringer Verlag
Pages1-15
Number of pages15
ISBN (Print)3540265562, 9783540265566
DOIs
Publication statusPublished - 1 Jan 2005
Event18th Annual Conference on Learning Theory, COLT 2005 - Bertinoro, Italy
Duration: 27 Jun 200530 Jun 2005

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume3559 LNAI
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference18th Annual Conference on Learning Theory, COLT 2005
Country/TerritoryItaly
CityBertinoro
Period27/06/0530/06/05

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