关键词: 同调代数, 同调边缘学习算法, 边缘学习算法

Abstract: The matter of margin is one of the kernel problems when facing the complicated datum.By now，there are two algorithms which can be considered as relatively successful algorithms.They are the maximum margin of Support Vector Machine algorithm and Tangent Vector Quantization algorithm.They both have the merits and defects.The homology theory is introduced into this paper for resolving disadvantages of latest methods，this paper presents a homology boudary division learning algorithm using the idea of the homology and this algorithm is justified through the experiment.

Key words: homology algebra, homology boundary learning algorithm, boundary learning algorithm