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research-article

Fast minimization of structural risk by nearest neighbor rule

Published: 01 January 2003 Publication History

Abstract

In this paper, we present a novel nearest neighbor rule-based implementation of the structural risk minimization principle to address a generic classification problem. We propose a fast reference set thinning algorithm on the training data set similar to a support vector machine (SVM) approach. We then show that the nearest neighbor rule based on the reduced set implements the structural risk minimization principle, in a manner which does not involve selection of a convenient feature space. Simulation results on real data indicate that this method significantly reduces the computational cost of the conventional SVMs, and achieves a nearly comparable test error performance.

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    cover image IEEE Transactions on Neural Networks
    IEEE Transactions on Neural Networks  Volume 14, Issue 1
    January 2003
    247 pages

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    IEEE Press

    Publication History

    Published: 01 January 2003

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    • (2016)An efficient algorithm for large-scale quasi-supervised learningPattern Analysis & Applications10.1007/s10044-014-0401-y19:2(311-323)Online publication date: 1-May-2016
    • (2014)Nearest Neighbor Condensation Based on Fuzzy Rough Set for ClassificationRough Sets and Knowledge Technology10.1007/978-3-319-11740-9_40(432-443)Online publication date: 24-Oct-2014
    • (2012)Modified blame-based noise reduction for concept driftProceedings of the 11th WSEAS international conference on Artificial Intelligence, Knowledge Engineering and Data Bases10.5555/2183067.2183077(55-60)Online publication date: 22-Feb-2012
    • (2012)Cellular automata based nearest neighbour rule condensationInternational Journal of Computer Applications in Technology10.1504/IJCAT.2012.04868044:2(109-116)Online publication date: 1-Aug-2012
    • (2010)Scaling up support vector machines using nearest neighbor condensationIEEE Transactions on Neural Networks10.1109/TNN.2009.203922721:2(351-357)Online publication date: 1-Feb-2010
    • (2010)A new fast prototype selection method based on clusteringPattern Analysis & Applications10.1007/s10044-008-0142-x13:2(131-141)Online publication date: 1-May-2010
    • (2008)A grid-based architecture for nearest neighbor based condensation of huge datasetsProceedings of the third international workshop on Use of P2P, grid and agents for the development of content networks10.1145/1384209.1384213(13-20)Online publication date: 23-Jun-2008
    • (2007)Efficient distributed data condensation for nearest neighbor classificationProceedings of the 13th international Euro-Par conference on Parallel Processing10.5555/2391541.2391583(338-347)Online publication date: 28-Aug-2007
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