In order to resolve the low rate of calculation of traditional ANMM algorithm, a ANMM based on improved and Trace Ratio of face recognition algorithms. Ways to keep the neighbors at the basis of projection, the algorithm reduced because of similar data between the linear projection of the reconstruction error arising at the same time, retained the category similarity graph Laplacian matrix integrity. On the other hand, by constructing a category of "similarity" graph corresponding categories of the "price" chart, the...