关键词: 拓扑结构, 规则拓扑结构, Laplacian Eigenmap

Abstract:

The regular topological structure was introduced. For solving the low dimensional data with regular structure, the measure of the regularity was constructed and then the dimensionality reduction was brought forward. Compared with the kernel eigenmaps, for example Locally Linear Embedding(LLE) and Laplacian Eigenmap, the method makes the results approximately regular. The last results prove the theory results and show that this technique can greatly discover the topological structure of data, compared to the LLE and Laplacian Eigenmap.

Key words: topological structure, regular topological structure, Laplacian Eigenmap