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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Inverse Problems and Their Applications
逆问题 系统辨识 正问题
2023/5/12
反问题和正问题是成对出现的。通常，学术界将已知原因（输入）、过程（模型）而探求结果（输出）的一类问题称为正问题。与此相对应，就有了两种反问题：已知模型、输出求未知输入的“溯源”问题和已知输入、输出来反求模型（或模型参数）的系统辨识问题。在现实社会和人类生活中，反问题无处不在；在关系国家命脉的经济生产和国防军事领域中反问题更是随处可见。例如，与人类健康福祉密切相关的无痛无损伤、在体表进行测量的医学诊...
SYMMETRIC AND SKEW-SYMMETRIC PROCRUSTES STATISTICS AND THEIR APPLICATIONS
Procrustes statistics symmetric skew-s
2007/8/7
In this paper, we give the calculation formulae and some properties of symmetric andskew-symmetric procrustes statistics and related transformation matrices. We use the procrustes statistic to provide...
THE ASYMPTOTIC BEHAVIOR AND APPLICATIONS OF A CLASS OF PP R-STATISTICS
Projection pursuit two sample tests R-st
2007/8/7
This paper uses R-statistics as projection indices to construct a class of projection pursuit (PP)R-statistics for multivariate two sample tests via PP techniques. Examples are presented as applicatio...