The study of machine learning theory frame based on Lie group
Yu Kang · Journal of Yunnan University for Nationalites · 2004
Machine learning is a eternal problem in the researches of artificial intelligence. However, machine learning methods are short of systemic theoretic foundation at present and some preferable ones such as statistic learning theory are exploring ones. Therefore, this paper researches machine learning by Lie group which has good mathematics configuration advances some basic conceptions of machine learning (ML) based on Lie group and conceptions of learning based on dual space, and formed the basic learning theory frame based on Lie group. The theory frame can describe machine learning system by algebra and geometry methods. So that it makes a fine configuration for describing the procession of machine learning and makes up for the lack of other theories of machine learning. It can be believed that researches of machine learning could be profoundly influenced by these works.