Exponential Family and Inverse Problems

Aleš Gottvald
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Aleš Gottvald: Academy of Sciences of the CR, Institute of Scientific Instruments

A chapter in Optimization and Inverse Problems in Electromagnetism, 2003, pp 161-180 from Springer

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.

Keywords: Exponential family; inverse problems; Bayes’ theorem; MaxEnt principle; sufficient statistics; entropic functionals; Lie groups; complex systems (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-017-2494-4_17

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DOI: 10.1007/978-94-017-2494-4_17

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