Title
Unification of Maximum Entropy and Bayesian Inference via Plausible Reasoning
Abstract
This paper modifies Jaynes's axioms of plausible reasoning and derives the minimum relative entropy principle, Bayes's rule, as well as maximum likelihood from first principles. The new axioms, which I call the Optimum Information Principle, is applicable whenever the decision maker is given the data and the relevant background information. These axioms provide an answer to the question "why maximize entropy when faced with incomplete information?"
Year
Venue
Keywords
2011
Clinical Orthopaedics and Related Research
bayesian inference,information theory,decision maker,maximum likelihood,incomplete information,maximum entropy,first principle,data analysis
Field
DocType
Volume
Econometrics,Mathematical optimization,Transfer entropy,Mathematical economics,Bayesian inference,Maximum entropy thermodynamics,Information diagram,Joint entropy,Principle of maximum entropy,Conditional entropy,Kullback–Leibler divergence,Mathematics
Journal
abs/1103.2
Citations 
PageRank 
References 
0
0.34
2
Authors
1
Name
Order
Citations
PageRank
Alexis Akira Toda101.01