Local invariant projection

The paper proposed the method of the local invariant projection for dealing with high-dimensional data sets. The method not only has the nature to maintain the geometry and topology structure of the data sets unchanged in the dimension reduction of the high-dimensional data, but the advantages of convenient and rapid calculation in the linear dimension reduction method. What´s more, the regular treatment made the method has good robustness. The results show that the method has the ability to find out the non-linear structure of the data sets.