传统正则化方法和Bayes统计理论之间的联系  

The Relation Between the Traditional Regularization and the Bayesian Method

作　　者：陈伟[1] 王子亭[1] 

机构地区：[1]中国石油大学数学与计算科学学院,山东青岛266555

出　　处：《河北理工大学学报（自然科学版）》2011年第3期104-106,共3页Journal of Hebei Polytechnic University:Social Science Edition

摘　　要：从数学建模和认识论的角度分析正问题和反问题的辩证关系,阐述了反问题研究的重要性和反问题应用的广泛性,就反问题的哲学思想进行了分析,最后分析了反问题求解的正则化方法和Bayes统计理论和方法的辩证关系。At first, we analyze the dialectical relationship between forward problem and inverse problem from the viewpoint of Epistemology and Mathematical Modeling and elaborate the importance of the study of inverse problem. We show the extensive of the application of inverse problem and analyze the philosophy of inverse problem. At last, we analyze the dialectical relationship between the traditional regularization and bayesian method.

关 键 词：正则化方法 BAYES统计 反问题 不适定问题 

分 类 号：O175.24[理学—数学]