作者: QingJun Song , XingMing Xiao , HaiYan Jiang , XieGuang Zhao
DOI: 10.1007/S12206-015-0745-2
关键词: Lagrange multiplier 、 Gaussian function 、 Quadratic programming 、 Ball (bearing) 、 Artificial intelligence 、 Support vector machine 、 Algorithm 、 Multiclass classification 、 Pattern recognition 、 Quantile 、 Mathematics 、 Sequential minimal optimization
摘要: With respect to classification problems, the Minimum enclosing ball (MEB) method was recently studied by some scholars as a new support vector machine. As nascent technology, however, MEB reports poor adaptability for different types of samples, especially multi-class samples. In this paper, we propose based on MEB. This is derived from each class sample center and radius with Gaussian kernel width factor parameter σ, which labelled σ-MEB. σ variable according characteristics. When considered, classifier easy adapt robust in diverse datasets. The quadratic programming problem transformed into its dual form Lagrange multipliers using method. Finally, applied sequential minimal optimization Karush—Kuhn—Tucker conditions accelerate training process. Numerical experiment results indicate that given proposed more accurate than methods it compared. Moreover, values upper quantile adaptation performance.