Parallel Clifford Support Vector Machines Using the Gaussian Kernel

被引:4
作者
Lopez-Gonzalez, Gehova [1 ]
Arana-Daniel, Nancy [2 ]
Bayro-Corrochano, Eduardo [1 ]
机构
[1] CINVESTAV, Dept Elect Engn & Comp Sci, Campus Guadalajara, Mexico City, DF, Mexico
[2] Univ Guadalajara, CUCEI, Dept Elect & Computac, Guadalajara, Jalisco, Mexico
关键词
Gaussian; Support vector machine; Geometric Algebra;
D O I
10.1007/s00006-016-0726-2
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This work presents a parallelization method for the Clifford support vector machines, based in two characteristics of the Gaussian Kernel. The pure real-valued result and its commutativity allows us to separate the multivector data in its defining subspaces. These subspaces are independent from each other, so we can solve the problem using parallelism. The motivation is to present an easy approach that can be explained using the more common known concepts of complex numbers and quaternions, because in general there exists a lack of familiarity with geometric algebra.
引用
收藏
页码:647 / 660
页数:14
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