A bilateral-truncated-loss based robust support vector machine for classification problems

Verfasser / Beitragende:
[Xiaowei Yang, Le Han, Yan Li, Lifang He]
Ort, Verlag, Jahr:
2015
Enthalten in:
Soft Computing, 19/10(2015-10-01), 2871-2882
Format:
Artikel (online)
ID: 605469687
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024 7 0 |a 10.1007/s00500-014-1448-9  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s00500-014-1448-9 
245 0 2 |a A bilateral-truncated-loss based robust support vector machine for classification problems  |h [Elektronische Daten]  |c [Xiaowei Yang, Le Han, Yan Li, Lifang He] 
520 3 |a Support vector machine (SVM) is sensitive to outliers or noise in the training dataset. Fuzzy SVM (FSVM) and the bilateral-weighted FSVM (BW-FSVM) can partly overcome this shortcoming by assigning different fuzzy membership degrees to different training samples. However, it is a difficult task to set the fuzzy membership degrees of the training samples. To avoid setting fuzzy membership degrees, from the beginning of the BW-FSVM model, this paper outlines the construction of a bilateral-truncated-loss based robust SVM (BTL-RSVM) model for classification problems with noise. Based on its equivalent model, we theoretically analyze the reason why the robustness of BTL-RSVM is higher than that of SVM and BW-FSVM. To solve the proposed BTL-RSVM model, we propose an iterative algorithm based on the concave-convex procedure and the Newton-Armijo algorithm. A set of experiments is conducted on ten real world benchmark datasets to test the robustness of BTL-RSVM. The statistical tests of the experimental results indicate that compared with SVM, FSVM and BW-FSVM, the proposed BTL-RSVM can significantly reduce the effects of noise and provide superior robustness. 
540 |a Springer-Verlag Berlin Heidelberg, 2014 
690 7 |a Bilateral-weighted fuzzy support vector machine  |2 nationallicence 
690 7 |a Support vector machine  |2 nationallicence 
690 7 |a Fuzzy support vector machine  |2 nationallicence 
690 7 |a Concave-convex procedure  |2 nationallicence 
690 7 |a Class noise  |2 nationallicence 
700 1 |a Yang  |D Xiaowei  |u Department of Mathematics, School of Sciences, South China University of Technology, 510641, Guangzhou, People's Republic of China  |4 aut 
700 1 |a Han  |D Le  |u Department of Mathematics, School of Sciences, South China University of Technology, 510641, Guangzhou, People's Republic of China  |4 aut 
700 1 |a Li  |D Yan  |u Department of Mathematics, School of Sciences, South China University of Technology, 510641, Guangzhou, People's Republic of China  |4 aut 
700 1 |a He  |D Lifang  |u School of Computer Science and Engineering, South China University of Technology, 510641, Guangzhou, People's Republic of China  |4 aut 
773 0 |t Soft Computing  |d Springer Berlin Heidelberg  |g 19/10(2015-10-01), 2871-2882  |x 1432-7643  |q 19:10<2871  |1 2015  |2 19  |o 500 
856 4 0 |u https://doi.org/10.1007/s00500-014-1448-9  |q text/html  |z Onlinezugriff via DOI 
898 |a BK010053  |b XK010053  |c XK010000 
900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s00500-014-1448-9  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Yang  |D Xiaowei  |u Department of Mathematics, School of Sciences, South China University of Technology, 510641, Guangzhou, People's Republic of China  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Han  |D Le  |u Department of Mathematics, School of Sciences, South China University of Technology, 510641, Guangzhou, People's Republic of China  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Li  |D Yan  |u Department of Mathematics, School of Sciences, South China University of Technology, 510641, Guangzhou, People's Republic of China  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a He  |D Lifang  |u School of Computer Science and Engineering, South China University of Technology, 510641, Guangzhou, People's Republic of China  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Soft Computing  |d Springer Berlin Heidelberg  |g 19/10(2015-10-01), 2871-2882  |x 1432-7643  |q 19:10<2871  |1 2015  |2 19  |o 500