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Principle of maximum entropy
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===Prior probabilities=== The principle of maximum entropy is often used to obtain [[prior probability|prior probability distributions]] for [[Bayesian inference]]. Jaynes was a strong advocate of this approach, claiming the maximum entropy distribution represented the least informative distribution.<ref>{{cite journal |last=Jaynes |first=E. T. |author-link = Edwin Thompson Jaynes |year=1968 |url=http://bayes.wustl.edu/etj/articles/brandeis.pdf |title=Prior Probabilities |journal=IEEE Transactions on Systems Science and Cybernetics |volume=4 |issue=3 |pages=227β241 |doi=10.1109/TSSC.1968.300117 }}</ref> A large amount of literature is now dedicated to the elicitation of maximum entropy priors and links with [[channel coding]].<ref>{{cite journal |last=Clarke |first=B. |year=2006 |title=Information optimality and Bayesian modelling |journal=[[Journal of Econometrics]] |volume=138 |issue=2 |pages=405β429 |doi=10.1016/j.jeconom.2006.05.003 }}</ref><ref>{{cite journal |doi=10.2307/2669786 |last=Soofi |first=E.S. |year=2000 |title=Principal Information Theoretic Approaches |journal=[[Journal of the American Statistical Association]] |volume=95 |issue=452 |pages=1349β1353 |mr=1825292 |jstor=2669786 }}</ref><ref>{{cite journal |last=Bousquet |first=N. |year=2008 |title=Eliciting vague but proper maximal entropy priors in Bayesian experiments |journal=Statistical Papers |volume=51 |issue=3 |doi=10.1007/s00362-008-0149-9 |pages=613β628 |s2cid=119657859 }}</ref><ref>{{Cite journal|title = Objective priors from maximum entropy in data classification|journal = Information Fusion|date = 2013-04-01|pages = 186β198|volume = 14|issue = 2|doi = 10.1016/j.inffus.2012.01.012|first1 = Francesco A. N.|last1 = Palmieri|first2 = Domenico|last2 = Ciuonzo|citeseerx = 10.1.1.387.4515}}</ref>
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