A new algorithm is constructed,called least squares projection twin support vector machine with Universum(ULSPTSVM).By adding Universum data,samples are introduced which have no relation with the samples of classification,which have a priori domain information.In addition,in order to further enhance the performance of ULSPTSVM,the method is extended to recursive learning method.Experiments show that ULSPTSVM can directly improve the training time of twin support vector machine with Universum(UTSVM),and in most cases the experimental accuracy is better than least squares projection twin support vector machine(LSPTSVM).
LU Shuxia
,
TONG Le
,
ZHU Chenxu
. Least squares projection twin support vector machine with universum[J]. Journal of Hebei University(Natural Science Edition), 2016
, 36(1)
: 94
-99
.
DOI: 10.3969/j.issn.1000-1565.2016.01.015
[1] WESTON J,COLLOBERT R,SINZ F,et al.Inference with the Universum[Z].The 23rd International Conference on Machine Learning,Pittsburgh,2006.
[2] CHERKASSKY V,DHAR S,DAI W.Practical conditions for effectiveness of the universum learning[J].IEEE Transactions on Neural Networks,2011,22(8):1241-1255.DOI:10.1109/TNN.2011.2157522.
[3] SINZ F H,CHAPELLE O,AGARWAL A,et al.An analysis of inference with the universum[Z].The 21st Annual Lonference Neural Information Processing Systems,Vancouver,2008.
[4] CHEN S,ZHANG C.Selecting informative universum sample for semisupervised learning[Z].The International Joint Conference on Artificial Intelligent,Pasadna,2009.
[5] SHEN C,WANG P,SHEN F,et al.Uboost:Boosting with the universum[J].IEEE Transaction on Pattern Analysis and Machine Intelligence,2012,34(4):825-832.DOI:10.1109/TPAMI.2011.240.
[6] JAYADEVA R,KHEMCHANDANI S,CHANDRA.Twin support vector machines for pattern classification[J].IEEE Transactions on Pattern Analysis and Machine Intellegence,2007,29(5):905-910.DOI:10.1109/TPAMI.2007.1068.
[7] KUMAR M A,GOPAL M.Application of smoothing technique on twin support vector machines[J].Pattern Recognition Letters,2008,29(13):1842-1848.DOI:10.1016/j.patrec.2008.05.016.
[8] SHAO Y H,ZHANG C H,WANG X B,et al.Improvements on twin support vector machines[J].IEEE Transactions on Neural Networks,2011,22(6):962-968.DOI:10.1109/TNN.2011.2130540.
[9] QI Z Q,TIAN Y J,SHI Y.Twin support vector machine with Universum data[J].Neural Networks,2012,36:112-119.DOI:10.1016/j.neunet.2012.09.004.
[10] SHAO Y H,DENG N Y,YANG Z M.Least square recursive projection twin support vector machine for classification[J].Pattern Recognition,2012,45:229-2307.DOI:10.1016/j.patcog.2011.11.028.
[11] DING S F,HUA X P.Recursive least square projection twin support vector machine for nonlinear classification[J].Neurocomputing,2014,134:3-9.DOI:10.1016/j.neucom.2013.02.046.
[12] MUSICANT D R.NDC:Normally Distributed Clustered Datasets[EB/OL].(1998-01-01)[2015-06-05].1998 <www.cs.wisc.edu/dmi/svm/ndc/>.