Exponential Family and Inverse Problems
Identifieur interne : 000F82 ( Main/Curation ); précédent : 000F81; suivant : 000F83Exponential Family and Inverse Problems
Auteurs : Aleš Gottvald [République tchèque]Source :
Abstract
Abstract: 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.
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DOI: 10.1007/978-94-017-2494-4_17
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<front><div type="abstract" xml:lang="en">Abstract: 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.</div>
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