TPMSVM: A novel twin parametric-margin support vector machine for pattern recognition. A novel twin parametric-margin support vector machine (TPMSVM) for classification is proposed in this paper. This TPMSVM, in the spirit of the twin support vector machine (TWSVM), determines indirectly the separating hyperplane through a pair of nonparallel parametric-margin hyperplanes solved by two smaller sized support vector machine (SVM)-type problems. Similar to the parametric-margin ν-support vector machine (par-ν-SVM), this TPMSVM is suitable for many cases, especially when the data has heteroscedastic error structure, that is, the noise strongly depends on the input value. But there is an advantage in the learning speed compared with the par-ν-SVM. The experimental results on several artificial and benchmark datasets indicate that the TPMSVM not only obtains fast learning speed, but also shows good generalization.

References in zbMATH (referenced in 14 articles , 1 standard article )

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  1. Li, Guoquan; Yang, Linxi; Wu, Zhiyou; Wu, Changzhi: D.C. programming for sparse proximal support vector machines (2021)
  2. Pang, Xinying; Xu, Yitian: A safe screening rule for accelerating weighted twin support vector machine (2019)
  3. Khemchandani, Reshma; Saigal, Pooja; Chandra, Suresh: Angle-based twin support vector machine (2018)
  4. Peng, Xinjun; Chen, De: PTSVRs: regression models via projection twin support vector machine (2018)
  5. Wang, Hongmei; Xu, Yitian: Scaling up twin support vector regression with safe screening rule (2018)
  6. Wang, Zhen; Shao, Yuan-Hai; Bai, Lan; Li, Chun-Na; Liu, Li-Ming; Deng, Nai-Yang: Insensitive stochastic gradient twin support vector machines for large scale problems (2018)
  7. Peng, Xinjun; Shen, Jindong: A twin-hyperspheres support vector machine with automatic variable weights for data classification (2017)
  8. Peng, Xinjun; Xu, Dong; Kong, Lingyan; Chen, Dongjing: (L_1)-norm loss based twin support vector machine for data recognition (2016)
  9. Zhang, Li; Zhou, Wei-Da: Fisher-regularized support vector machine (2016)
  10. Peng, Xinjun; Xu, Dong: Structural regularized projection twin support vector machine for data classification (2014)
  11. Shao, Yuan-Hai; Chen, Wei-Jie; Deng, Nai-Yang: Nonparallel hyperplane support vector machine for binary classification problems (2014)
  12. Peng, Xinjun; Xu, Dong: A twin-hypersphere support vector machine classifier and the fast learning algorithm (2013)
  13. Wang, Zhen; Shao, Yuan-Hai; Wu, Tie-Ru: A GA-based model selection for smooth twin parametric-margin support vector machine (2013)
  14. Peng, Xinjun: TPMSVM: A novel twin parametric-margin support vector machine for pattern recognition (2011)