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Quantifying accuracy of learning via sample width

Anthony, Martin and Ratsaby, Joel (2013) Quantifying accuracy of learning via sample width. Proceedings of the 2013 IEEE Symposium on Foundations of Computational Intelligence (Foci): 2013 IEEE Symposium Series on Com . pp. 84-90. ISSN 9781467359016

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Abstract

In a recent paper, the authors introduced the notion of sample width for binary classifiers defined on the set of real numbers. It was shown that the performance of such classifiers could be quantified in terms of this sample width. This paper considers how to adapt the idea of sample width so that it can be applied in cases where the classifiers are defined on some finite metric space. We discuss how to employ a greedy set-covering heuristic to bound generalization error. Then, by relating the learning problem to one involving certain graph-theoretic parameters, we obtain generalization error bounds that depend on the sample width and on measures of `density' of the underlying metric space.

Item Type: Article
Official URL: http://www.ntu.edu.sg/home/epnsugan/index_files/SS...
Additional Information: © 2013 IEEE
Library of Congress subject classification: Q Science > QA Mathematics
Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Sets: Departments > Mathematics
Rights: http://www.lse.ac.uk/library/usingTheLibrary/academicSupport/OA/depositYourResearch.aspx
Identification Number: CFP13FPC-ART
Date Deposited: 15 Mar 2013 15:54
URL: http://eprints.lse.ac.uk/48770/

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