Published February 2018
| Version v1
Journal article
Exact Maximum-Entropy Estimation with Feynman Diagrams
- 1. Institute for Advanced Study (United States)
- 2. The Hebrew University of Jerusalem, Department of Mathematics (Israel)
- 3. ETH Zürich, Institute for Theoretical Studies (Switzerland)
Description
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.
Additional details
Identifiers
Publishing Information
- Journal Title
- Journal of Statistical Physics
- Journal Volume
- 170
- Journal Issue
- 4
- Journal Page Range
- p. 731-747
- ISSN
- 0022-4715
- CODEN
- JSTPBS
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 50027266
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ENTROPY; FEYNMAN DIAGRAM; LIMITING VALUES; MATHEMATICAL SOLUTIONS; PERTURBATION THEORY; PROBABILITY; STATISTICS; WEIGHTING FUNCTIONS
- Descriptors DEC
- DIAGRAMS; FUNCTIONS; INFORMATION; MATHEMATICS; PHYSICAL PROPERTIES; THERMODYNAMIC PROPERTIES
Optional Information
- Copyright
- Copyright (c) 2018 Springer Science+Business Media, LLC, part of Springer Nature
- Notes
- http://www.springer-ny.com