【摘要】 主成分分析和二维主成分分析是两种经典的数据变换方法。尽管许多学者对PCA和2DPCA进行了大量的研究和实验,但并未给出PCA与2DPCA之间的联系。文中给出二者之间的联系,即PCA与2DPCA在优化时具有相同的最优目标值,同时通过理论推导和在CMU-PIE与CK+库上的实验证明了这一观点。更多还原

【Abstract】 Principal component analysis and two-dimensional principal component analysis are two classical data transformation techniques.Although many scholars worked on them,there’s no relationship of two methods to be given.In this paper,we gave their relationship,which is that they have the same optimal objective value in optimization.The opinion was demonstrated through theoretical derivation and extensive experiments which is tested on the CMU-PIE and CK+face database.更多还原