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.