Boosting classifiers with tightened L0-relaxation penalties

Noam Goldberg, Jonathan Eckstein

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

7 Scopus citations

Abstract

We propose a novel boosting algorithm which improves on current algorithms for weighted voting classification by striking a better balance between classification accuracy and the sparsity of the weight vector. In order to justify our optimization formulations, we first consider a novel integer linear program as a model for sparse classifier selection, generalizing the minimum disagreement half-space problem whose complexity has been investigated in computational learning theory. Specifically, our mixed integer problem is that of finding a separating hyper-plane with minimum empirical error subject to an L0-norm penalty. We note that common "soft margin" linear programming formulations for robust classification are equivalent to the continuous relaxation of our formulation. Since the initial continuous relaxation is weak, we suggest a tighter relaxation, using novel cutting planes, to better approximate the integer solution. To solve this relaxation, we propose a new boosting algorithm based on linear programming with dynamic generation of variables and constraints. We demonstrate the classification performance of our proposed algorithm with experimental results, and justify our selection of parameters using a minimum description length, compression interpretation of learning.

Original languageEnglish
Title of host publicationICML 2010 - Proceedings, 27th International Conference on Machine Learning
Pages383-390
Number of pages8
StatePublished - 2010
Externally publishedYes
Event27th International Conference on Machine Learning, ICML 2010 - Haifa, Israel
Duration: 21 Jun 201025 Jun 2010

Publication series

NameICML 2010 - Proceedings, 27th International Conference on Machine Learning

Conference

Conference27th International Conference on Machine Learning, ICML 2010
Country/TerritoryIsrael
CityHaifa
Period21/06/1025/06/10

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