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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Gottvald, A. (2003). Exponential Family and Inverse Problems. In: Rudnicki, M., Wiak, S. (eds) Optimization and Inverse Problems in Electromagnetism. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-2494-4_17
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DOI: https://doi.org/10.1007/978-94-017-2494-4_17
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