Exact maximum-entropy estimation with Feynman diagrams
Combinatorics
2023-03-14 v4 Mathematical Physics
math.MP
Probability
Statistics Theory
Statistics Theory
Abstract
A classical 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.
Cite
@article{arxiv.1512.00752,
title = {Exact maximum-entropy estimation with Feynman diagrams},
author = {Tomer M. Schlank and Ran J. Tessler and Amitai Netser Zernik},
journal= {arXiv preprint arXiv:1512.00752},
year = {2023}
}
Comments
A few minor corrections