Data Dimension Reduction Based on Category Theory
基于范畴的数据降维方法

The research of category theory is mainly about summary and abstraction of some specific mathematical objects and mapping. The dimensionality reduction problem based on category theory was discussed, and it could solve the problems of image analysis and image recognition. Besides, the process of dimensionality reduction based on category theory was listed. There are two examples,Principal Component Analysis Category and Isomap Category,which verified the correctness of the category theory applied to the dimensionality reduction problem.