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A Batch Learning Vector Quantization Algorithm for Nearest Neighbour Classification

Published: 01 June 2000 Publication History

Abstract

We introduce a batch learning algorithm to design the set of prototypes of 1 nearest-neighbour classifiers. Like Kohonen's LVQ algorithms, this procedure tends to perform vector quantization over a probability density function that has zero points at Bayes borders. Although it differs significantly from their online counterparts since: (1) its statistical goal is clearer and better defined; and (2) it converges superlinearly due to its use of the very fast Newton's optimization method. Experiments results using artificial data confirm faster training time and better classification performance than Kohonen's LVQ algorithms.

References

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1. Bottou, L.: Online learning and stochastic approximation, In: David Saal (ed.), Online Learning and Neural Networks, Cambridge University Press, Cambridge, UK, 1998.
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2. Cover, T. M. and Hart, P. E.: Nearest neighbor pattern classification, IEEE Trans. Inf. Th., IT-13 (1967), 21-27.
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3. Gersho, A. and Gray, R. M.: Vector Quantization and Signal Compression, Kluwer Academic Publishers, Boston, MA, 1992.
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4. Hestenes, M.: Conjugate Direction Methods in Optimization, Springer-Verlag, Berlin, New York, 1980.
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5. Kohonen, T., Hynninen, J., Kangas, J., Laaksonen, J. and Torkkola, K.: Kari. LVQ_PAK. The learning vector quantization program package. Version 3.1, Laboratory of Computer and Information Science, Helsinki University of Technology, April 7, 1995.
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6. Kohonen, T.: Self-Organizing Maps, 2nd edn, Springer-Verlag, Berlin, New York, 1996.
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7. Lavigna, A.: Nonparametric classification using learning vector quantization. Ph.D. Dissertation. University of Maryland, 1990.
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8. Vapnik, V.: Estimation of Dependencies based on Empirical Data, Springer Series in Statistics, Springer-Verlag, Berlin, New York, 1982.

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  1. A Batch Learning Vector Quantization Algorithm for Nearest Neighbour Classification

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      Published In

      cover image Neural Processing Letters
      Neural Processing Letters  Volume 11, Issue 3
      June 2000
      65 pages
      ISSN:1370-4621
      Issue’s Table of Contents

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      Kluwer Academic Publishers

      United States

      Publication History

      Published: 01 June 2000

      Author Tags

      1. Learning Vector Quantization
      2. Newton's optimization
      3. batch learning algorithms
      4. nearest neighbour classification

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      • (2019)Evolutionary Design of Nearest Prototype ClassifiersJournal of Heuristics10.1023/B:HEUR.0000034715.70386.5b10:4(431-454)Online publication date: 1-Jun-2019
      • (2019)Prototypes Generation from Multi-label Datasets Based on Granular ComputingProgress in Pattern Recognition, Image Analysis, Computer Vision, and Applications10.1007/978-3-030-33904-3_13(142-151)Online publication date: 28-Oct-2019
      • (2018)Nearest prototype classification of noisy dataArtificial Intelligence Review10.1007/s10462-009-9116-730:1-4(53-66)Online publication date: 28-Dec-2018
      • (2012)Model fusion-based batch learning with application to oil spills detectionProceedings of the 25th international conference on Industrial Engineering and Other Applications of Applied Intelligent Systems: advanced research in applied artificial intelligence10.1007/978-3-642-31087-4_5(40-47)Online publication date: 9-Jun-2012

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