摘要
借用具有良好数学结构的Lie群来研究机器学习,提出了基于Lie群的机器学习(ML)基本概念、对偶空间学习概念等,形成了基于Lie群的学习理论框架.该理论框架可以用代数和几何的方法来描述机器学习系统,弥补了原有机器学习理论的不足.
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.
出处
《云南民族大学学报（自然科学版）》
CAS
2004年第4期251-255,共5页
Journal of Yunnan Minzu University:Natural Sciences Edition
基金
江苏省自然科学基金(BK2002040)
江苏省教育厅自然科学基金(03KJB520128).
关键词
李群
机器学习
李代数
对偶空间
lie group, machine leaning, lie algebra, dual space
