Maximum Entropy: The Universal Method for Inference
@article{Giffin2008MaximumET, title={Maximum Entropy: The Universal Method for Inference}, author={A. Giffin}, journal={arXiv: Data Analysis, Statistics and Probability}, year={2008} }
In this thesis we start by providing some detail regarding how we arrived at our present understanding of probabilities and how we manipulate them - the product and addition rules by Cox. We also discuss the modern view of entropy and how it relates to known entropies such as the thermodynamic entropy and the information entropy. Next, we show that Skilling's method of induction leads us to a unique general theory of inductive inference, the ME method and precisely how it is that other… CONTINUE READING
Topics from this paper
45 Citations
Comparison Between Bayesian and Maximum Entropy Analyses of Flow Networks†
- Mathematics, Computer Science
- Entropy
- 2017
- 5
- PDF
The Quantum Bayes Rule and Generalizations from the Quantum Maximum Entropy Method
- Physics, Mathematics
- 2017
- 5
- Highly Influenced
- PDF
The Inferential Design of Entropy and its Application to Quantum Measurements.
- Mathematics, Physics
- 2018
- 4
- PDF
Approximating the entire spectrum of nonequilibrium steady-state distributions using relative entropy: An application to thermal conduction.
- Mathematics, Medicine
- Physical review. E, Statistical, nonlinear, and soft matter physics
- 2015
- 1
- PDF
Lüders' and quantum Jeffrey's rules as entropic projections
- Mathematics, Computer Science
- ArXiv
- 2014
- 6
- Highly Influenced
- PDF
Complexity Characterization in a Probabilistic Approach to Dynamical Systems Through Information Geometry and Inductive Inference
- Computer Science, Physics
- 2012
- 7
- PDF
References
SHOWING 1-10 OF 34 REFERENCES
Maximum Entropy and Bayesian Methods in Applied Statistics: Bayesian Methods: General Background
- Computer Science, Mathematics
- 1986
- 190
- PDF
From Physics to Economics: An Econometric Example Using Maximum Relative Entropy
- Mathematics, Computer Science
- ArXiv
- 2009
- 16
- PDF