Manifold regularized proximal support vector machine via generalized eigenvalue

J Liang, F Zhang, X Xiong, X Chen, L Chen… - International Journal of …, 2016 - Springer
J Liang, F Zhang, X Xiong, X Chen, L Chen, G Lan
International Journal of Computational Intelligence Systems, 2016Springer
Proximal support vector machine via generalized eigenvalue (GEPSVM) is a recently
proposed binary classification technique which aims to seek two nonparallel planes so that
each one is closest to one of the two datasets while furthest away from the other. In this
paper, we proposed a novel method called Manifold Regularized Proximal Support Vector
Machine via Generalized Eigenvalue (MRGEPSVM), which incorporates local geometry
information within each class into GEPSVM by regularization technique. Each plane is …
Abstract
Proximal support vector machine via generalized eigenvalue (GEPSVM) is a recently proposed binary classification technique which aims to seek two nonparallel planes so that each one is closest to one of the two datasets while furthest away from the other. In this paper, we proposed a novel method called Manifold Regularized Proximal Support Vector Machine via Generalized Eigenvalue (MRGEPSVM), which incorporates local geometry information within each class into GEPSVM by regularization technique. Each plane is required to fit each dataset as close as possible and preserve the intrinsic geometric structure of each class via manifold regularization. MRGEPSVM is also extended to the nonlinear case by kernel trick. The effectiveness of the method is demonstrated by tests on some examples as well as on a number of public data sets. These examples show the advantages of the proposed approach in both computation speed and test set correctness.
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