Abstract
A longstanding open problem in statistics is finding an explicit expression for the probability measure which maximizes entropy with respect to given constraints. In this paper a solution to this problem is found, using perturbative Feynman calculus. The explicit expression is given as a sum over weighted trees.
Original language | English |
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Pages (from-to) | 731-747 |
Number of pages | 17 |
Journal | Journal of Statistical Physics |
Volume | 170 |
Issue number | 4 |
DOIs | |
State | Published - 1 Feb 2018 |
Bibliographical note
Publisher Copyright:© 2018, Springer Science+Business Media, LLC, part of Springer Nature.
Keywords
- Feynman calculus
- Maximum entropy
- Perturbative expansion
- Weighted trees