Constructing Priors in Maximum Entropy Methods

  • N. Rivier
  • R. Englman
  • R. D. Levine
Part of the Fundamental Theories of Physics book series (FTPH, volume 39)

Abstract

We show how to construct the best prior for a Maximum Entropy procedure when two or more priors are conceivable or are proposed. The prior is a weighed sum of the conceivable priors with weights that depend exponentially on the overlap of the prior with the exponential part of the maximum entropy probability. With additional information, one can iteratively improve the prior and sharpen the choice between alternative priors. Our construction can be used to predict in some physical cases the probability distribution functions, and to make quantitative decisions in the presence of conflicting expert opinions.

Keywords

Maximum Entropy Thought Experiment Expert Advice Maximum Entropy Method Posterior Probability Distribution 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Kluwer Academic Publishers 1990

Authors and Affiliations

  • N. Rivier
    • 1
  • R. Englman
    • 2
  • R. D. Levine
    • 3
  1. 1.Argonne National LaboratoryArgonneUSA
  2. 2.Soreq Nuclear Research CenterYavneIsrael
  3. 3.Fritz Haber Research Center for Molecular DynamicsThe Hebrew UniversityJerusalemIsrael

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