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Letters: Reduced twin support vector regression

Published: 01 April 2011 Publication History

Abstract

We propose the reduced twin support vector regressor (RTSVR) that uses the notion of rectangular kernels to obtain significant improvements in execution time over the twin support vector regressor (TSVR), thus facilitating its application to larger sized datasets.

References

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Burges, C., A tutorial on support vector machines for pattern recognition. Data Mining and Knowledge Discovery. v2. 1-43.
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Cortes, C. and Vapnik, V.N., Support vector networks. Machine Learning. v20. 273-297.
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Bradley, P.S. and Mangasarian, O.L., Massive data discrimination via linear support vector machines. Optimization Methods and Software. v13. 1-10.
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Cherkassky, V. and Mulier, F., Learning from Data-Concepts, Theory, and Methods. 1998. John Wiley and Sons.
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Jayadeva, Khemchandani, R. and Chandra, S., Twin support vector machines for pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence. v29 i5. 905-910.
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Peng, X., TSVR: an efficient twin support vector machine for regression. Neural Networks. v23. 356-372.
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Y.-J. Lee, O.L. Mangasarian, RSVM: reduced support vector machines, in: Proceedings of First SIAM International Conference Data Mining, April 2001, {ftp://ftp.cs.wisc.edu/pub/dmi/tech-reports/00-07.ps}.
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W. Karush, Minima of functions of several variables with inequalities as side constraints, M.Sc. Dissertation, Department of Mathematics, University of Chicago, Chicago, Illinois, 1939.
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Cited By

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  • (2023)Incremental learning for Lagrangian ε-twin support vector regressionSoft Computing - A Fusion of Foundations, Methodologies and Applications10.1007/s00500-022-07755-927:9(5357-5375)Online publication date: 1-May-2023
  • (2019)L1-norm loss based twin support vector machine for data recognitionInformation Sciences: an International Journal10.1016/j.ins.2016.01.023340:C(86-103)Online publication date: 6-Jan-2019
  • (2019)An improved regularization based Lagrangian asymmetric ν-twin support vector regression using pinball loss functionApplied Intelligence10.1007/s10489-019-01465-w49:10(3606-3627)Online publication date: 1-Oct-2019
  • Show More Cited By

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Published In

cover image Neurocomputing
Neurocomputing  Volume 74, Issue 9
April, 2011
203 pages

Publisher

Elsevier Science Publishers B. V.

Netherlands

Publication History

Published: 01 April 2011

Author Tags

  1. Function approximation
  2. Kernels
  3. Rectangular kernels
  4. Regression
  5. SVM
  6. Support vector machines

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Cited By

View all
  • (2023)Incremental learning for Lagrangian ε-twin support vector regressionSoft Computing - A Fusion of Foundations, Methodologies and Applications10.1007/s00500-022-07755-927:9(5357-5375)Online publication date: 1-May-2023
  • (2019)L1-norm loss based twin support vector machine for data recognitionInformation Sciences: an International Journal10.1016/j.ins.2016.01.023340:C(86-103)Online publication date: 6-Jan-2019
  • (2019)An improved regularization based Lagrangian asymmetric ν-twin support vector regression using pinball loss functionApplied Intelligence10.1007/s10489-019-01465-w49:10(3606-3627)Online publication date: 1-Oct-2019
  • (2018)Robust twin support vector regression via second-order cone programmingKnowledge-Based Systems10.1016/j.knosys.2018.04.005152:C(83-93)Online publication date: 15-Jul-2018
  • (2018)Asymmetric ?-twin support vector regressionNeural Computing and Applications10.1007/s00521-017-2966-z30:12(3799-3814)Online publication date: 1-Dec-2018
  • (2018)An overview on nonparallel hyperplane support vector machine algorithmsNeural Computing and Applications10.1007/s00521-013-1524-625:5(975-982)Online publication date: 27-Dec-2018
  • (2017)Pairing support vector algorithm for data regressionNeurocomputing10.1016/j.neucom.2016.11.024225:C(174-187)Online publication date: 15-Feb-2017
  • (2016)Modified twin support vector regressionNeurocomputing10.1016/j.neucom.2016.01.105211:C(84-97)Online publication date: 26-Oct-2016

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