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Locality preserving projection least squares twin support vector machine for pattern classification

Published: 01 February 2020 Publication History

Abstract

During the last few years, multiple surface classification algorithms, such as twin support vector machine (TWSVM), least squares twin support vector machine (LSTSVM) and least squares projection twin support vector machine (LSPTSVM), have attracted much attention. However, these algorithms did not consider the local geometrical structure information of training samples. To alleviate this problem, in this paper, a locality preserving projection least squares twin support vector machine (LPPLSTSVM) is presented by introducing the basic idea of the locality preserving projection into LSPTSVM. This method not only inherits the ability of TWSVM, LSTSVM and LSPTSVM for pattern classification, but also fully considers the local geometrical structure between samples and shows the local underlying discriminatory information. Experimental results conducted on both synthetic and real-world datasets illustrate the effectiveness of the proposed LPPLSTSVM method.

References

[1]
Cortes C and Vapnik VNSupport vector machineMach Learn1995203273-2970831.68098
[2]
Vapnik VP The nature of statistical learning theory 2000 New York Springer
[3]
Osuna E, Freund R, Girosi F (1997) Training support vector machines: an application to face detection. In: Proceedings of computer vision and pattern recognition, pp 130–136
[4]
Isa D, Lee LH, Kallimani VP, and Rajkumar R Text document preprocessing with the Bayes formula for classification using the support vector machine IEEE Trans Knowl Data Eng 2008 20 9 1264-1272
[5]
Noble WS Schölkopf B, Tsuda K, Vert JP, Istrail DS, Pevzner PA, and Waterman MS Support vector machine applications in computational biology Kernel methods in computational biology 2004 Cambridge MIT Press 71-92
[6]
Zafeiriou S, Tefas A, and Pitas IMinimum class variance support vector machineIEEE Trans Image Process200716102551-25642467785
[7]
Jayadeva R and Khemchandai S Chandra Twin support vector machine classification for pattern classification IEEE Trans Pattern Anal Mach Intell 2007 29 5 905-910
[8]
Chen XB, Yang J, Ye QL, and Liang J Recursive projection twin support vector machine via within-class variance minimization Pattern Recogn 2011 44 10 2643-2655
[9]
Mangasarian OL and Wild EW Multisurface proximal support vector machine classification via generalized eigenvalues IEEE Trans Pattern Anal Mach Intell 2006 28 1 69-74
[10]
Fung G, Mangasarian OL (2001) Proximal support vector machine classifiers. In: Proceedings of the seventh ACM SIGKDD international conference on knowledge discovery and data mining. ACM, pp 77–86
[11]
Arun Kumar M and Gopal M Least squares twin support vector machines for pattern classification Expert Syst Appl 2009 36 4 7535-7543
[12]
Shao YH, Zhang CH, Wang XB, and Deng NY Improvements on twin support vector machines IEEE Trans Neural Netw 2011 22 6 962-968
[13]
Shao YH, Wang Z, Chen WJ, and Deng NY A regularization for the projection twin support vector machine Knowl Based Syst 2013 37 203-210
[14]
Shao YH, Deng NY, and Yang ZM Least squares recursive projection twin support vector machine for classification Pattern Recogn 2012 45 6 2299-2307
[15]
Ding SF and Hua XP Recursive least squares projection twin support vector machines for nonlinear classification Neurocomputing 2014 130 3-9
[16]
Tian YJ, Qi ZQ, Ju XC, Shi Y, and Liu XH Nonparallel support vector machines for pattern classification IEEE Trans Cybern 2014 44 7 1067-1079
[17]
Peng XJ TPMSVM: a novel twin parametric-margin support vector machine for pattern recognition Pattern Recogn 2011 44 10 2678-2692
[18]
Qi ZQ, Tian YJ, and Shi Y Robust twin support vector machine for pattern classification Pattern Recogn 2013 46 1 305-316
[19]
Chen SG, Wu XJ, and Zhang RF A novel twin support vector machine for binary classification problems Neural Process Lett 2016 263 22-35
[20]
Mehrkanoon S, Huang XL, and Suykens JAK Non-parallel support vector classifiers with different loss functions Neurocomputing 2014 143 294-301
[21]
Xu YT and Wang LS K-nearest neighbor-based weighted twin support vector regression Appl Intell 2014 41 1 299-309
[22]
Hua XP and Ding SF Weighted least squares projection twin support vector machines with local information Neurocomputing 2015 160 228-237
[23]
Tenenbaum JB, Silva VD, and Langford JC A global geometric framework for nonlinear dimensionality reduction Science 2000 290 5500 2319-2323
[24]
Roweis ST and Saul LK Nonlinear dimensionality reduction by locally linear embedding Science 2000 290 5500 2323-2326
[25]
Benkin M and Niyogi P Laplacian eigenmaps for dimensionality reduction and data representation Neural Comput 2003 15 6 1373-1396
[26]
He XF, Niyogi P (2003) Locality preserving projections. In: Proceedings of the conference on advances in neural information processing systems
[27]
Cai D, He XF, Han JW (2007) Semi-supervised discriminant analysis. In: Proceedings of 11th international conference on computer vision, pp 1–7
[28]
Benkin M, Niyogi P, and Sindhwani VManifold regularization: a geometric framework for learning from labeled and unlabeled examplesJ Mach Learn Res20067112399-243422744441222.68144
[29]
Wang XM, Chung FL, and Wang ST On minimum class locality preserving variance support vector machine Pattern Recogn 2010 43 8 2753-2762
[30]
Mangasarian OL Nonlinear programming 1994 Philadelphia SIAM
[31]
Duda RO, Hart PE, and Stork DG Pattern classification 2001 2 New York Wiley
[32]
Xiong HL, Swany MNS, and Ahmad MO Optimizing the kernel in the empirical feature space IEEE Trans Neural Netw 2005 16 2 460-474
[33]
Wang YY, Chen SC, and Xue H Support vector machine incorporated with feature discrimination Expert Syst Appl 2011 38 10 12506-12513
[34]
Ripley BD Pattern recognition and neural networks 2008 Cambridge Cambridge University Press
[35]
Muphy PM, Aha DW (1992) UCI repository of machine learning databases, University of California, Irvine. http://www.ics.uci.edu/~mlearn
[37]
Nene SA, Nayar SK, Murase H (1996) Columbia object image library (COIL-20). Technical report CUCS-005096, February
[38]
Martinez AM, Benavente R (1998) The AR face database. CVC technical report #24, June

Cited By

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  • (2022)A least squares twin support vector machine method with uncertain dataApplied Intelligence10.1007/s10489-022-03897-353:9(10668-10684)Online publication date: 22-Aug-2022
  • (2021)HSIC-based affinity measure for learning on graphsPattern Analysis & Applications10.1007/s10044-021-01014-724:4(1667-1683)Online publication date: 1-Nov-2021
  • (2020)Feature Selection Using Sparse Twin Support Vector Machine with Correntropy-Induced LossKnowledge Science, Engineering and Management10.1007/978-3-030-55130-8_38(434-445)Online publication date: 28-Aug-2020

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        Published In

        cover image Pattern Analysis & Applications
        Pattern Analysis & Applications  Volume 23, Issue 1
        Feb 2020
        492 pages
        ISSN:1433-7541
        EISSN:1433-755X
        Issue’s Table of Contents

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        Springer-Verlag

        Berlin, Heidelberg

        Publication History

        Published: 01 February 2020
        Accepted: 18 July 2018
        Received: 16 March 2015

        Author Tags

        1. Pattern classification
        2. Locality preserving projection
        3. Least squares
        4. Twin support vector machine
        5. Projection twin support vector machine

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        View all
        • (2022)A least squares twin support vector machine method with uncertain dataApplied Intelligence10.1007/s10489-022-03897-353:9(10668-10684)Online publication date: 22-Aug-2022
        • (2021)HSIC-based affinity measure for learning on graphsPattern Analysis & Applications10.1007/s10044-021-01014-724:4(1667-1683)Online publication date: 1-Nov-2021
        • (2020)Feature Selection Using Sparse Twin Support Vector Machine with Correntropy-Induced LossKnowledge Science, Engineering and Management10.1007/978-3-030-55130-8_38(434-445)Online publication date: 28-Aug-2020

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