Exponential Family and inverse - On metamorphoses of probability theory

被引：0

作者：

Gottvald, A ^{[1
]}

机构：

[1] Acad Sci Czech Republ, Inst Sci Instruments, CS-61264 Brno, Czech Republic

来源：

OPTIMIZATION AND INVERSE PROBLEMS IN ELECTROMAGNETISM | 2003年

关键词：

Exponential Family; inverse problems; bayes' theorem; maxent principle; sufficient statistics; entropic functionals; lie groups; complex systems;

D O I：

暂无

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

We associate Inverse Problems with a structure called Exponential Family. This structure is pivotal in many fundamental theories (Bayesian Probability Theory, Maximum Entropy Principle, Fourier-Laplace Transforms, Generatingfunctionology, Sufficient Statistics, Lie Groups, ...), and offers extensive applications to Physical Theories and Complex Systems.

引用

页码：161 / 180

页数：20

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