Lie group theory is the fundamental representation theory of the transformation space. Presently, there are only a few classifiers for Lie group matrix data and they do not work well for multi-class classification tasks. Taking handwritten digits as application background, the paper introduces the support vector machine (SVM) to handle Lie group matrix data. Since the Lie group data has their matrix form, we design a matrix Gaussian kernel function, making the SVM to handle Lie group matrix data. Experimental results show that the SVM performs well on the Lie group matrix data.%李群是变换空间的一种基本表示理论.目前针对李群数据所设计的分类器较少,对多分类的效果也不是很好.以手写体数字的应用为背景,引入了支持向量机分类算法来处理李群数据.由于李群数据具有矩阵表现的形式,设计了一种矩阵高斯核函数,使得支持向量机能够处理矩阵数据.仿真结果表明,支持向量机方法在李群数据上具有很好的性能.
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