Theoretical Research of Learning Theory Based on Fuzzy Random Samples

摘要：

　　The key theorem and the bounds on the rate of uniform convergence of learning process play important roles in the statistical learning theory.At present,the researches about them mainly focus on probability measure and random samples.Based on the definition of fuzzy random variable provided by Liu and Peng,the key theorem of learning theory based on fuzzy random samples will be proposed and the bounds on the rate of uniform convergence of learning process will be discussed.

关键词： Fuzzy random variable Fuzzy random empirical risk minimization principle Key theorem Bounds on the rate of uniform convergence

作者: Jun-Hua LI Hai-Jun LI

作者单位: College of Mathematics and Computer Science,Hebei University,Baoding 071002,China College of Great Wall,China University of Geosciences,Baoding 071000,China

会议类型: 国内会议

会议名称: 2014年国际计算机科学与软件工程学术会议

会议地点: 杭州

会议语种:英文

页码: 1-6

在线出版日期: 2014-10-18（万方平台首次上网日期，不代表论文的发表时间）