A Trace Lasso Regularized Robust Nonparallel Proximal Support Vector Machine for Noisy Classification

Institute of Electrical and Electronics Engineers (IEEE)
Publication Type:
Journal Article
IEEE Access, 2019, 7, pp. 47171-47184
Issue Date:
Filename Description Size
08618442.pdfPublished version9.17 MB
Adobe PDF
Full metadata record
© 2013 IEEE. Generalized eigenvalue proximal support vector machine (GEPSVM) and its improvement IGEPSVM are excellent nonparallel classification methods due to their excellent generalization. However, all of them adopt the square L-{2} -norm metric to implement their empirical risk or penalty, which is sensitive to noise and outliers. Moreover, in many real-world learning tasks, it is a significant challenge for GEPSVMs when the data appears highly correlated. To alleviate the above issues, in this paper, we propose a novel trace lasso regularized robust nonparallel proximal support vector machine (RNPSVM) for noisy classification. Compared with GEPSVMs, our RNPSVM enjoys the following advantages. First, the empirical risk of RNPSVM is implemented by the robust L-{1} -norm metric with a maximum margin criterion. Namely, it aims to maximize the L-{1} -norm inter-class distance dispersion while minimizing the L-{1} -norm intra-class distance dispersion simultaneously. Second, to capture the sparsity and the underlying correlation of data, a trace lasso (adaptive norm-based training data) is further introduced to regularize RNPSVM. Third, an iterative algorithm is designed to solve the maximization optimization problem of RNPSVM, whose convergence is guaranteed theoretically. The extensive experimental results on both synthetic and real-world noisy datasets demonstrate the effectiveness of RNPSVM.
Please use this identifier to cite or link to this item: