Geometric algebra representation principle of multivariate data dimension-increasing transformation
XU Yong-hong · Journal of Yanshan University · 2008
The vector space model is generally adopted in the multivariate data analysis and pattern recognition domain. In this paper, a dimension increasing transformation method, which mapping the vector space to the generated geometric algebra space, is proposed. The multi-vector representation of multivariate data in the geometric algebra space is presented and the completeness of this representation is proved. In the end, the prospect of geometric algebra applying to visual pattern recognition is outlined.