Reparametrization Invariant Statistical Inference and Gravity

23 June 1997

journal article
research article
Published by American Physical Society (APS) in Physical Review Letters

Vol. 78 (25) , 4671-4674
https://doi.org/10.1103/physrevlett.78.4671

Abstract

Bialek, Callan, and Strong have recently given a solution of the problem of determining a continuous probability distribution from a finite set of experimental measurements by formulating it as a one-dimensional quantum field theory. This Letter gives a reparametrization invariant solution of the problem, obtained by coupling to gravity. The case of a large number of dimensions is also formulated geometrically, and solved, in terms of metrics of vanishing Weyl curvature.

Keywords

GRAVITY
INVARIANT
REPARAMETRIZATION
EXPERIMENTAL
LETTER
WEYL
CALLAN
VANISHING
GEOMETRICALLY
INFERENCE

All Related Versions

Version 1, 1997-03-19, ArXiv

This publication has 1 reference indexed in Scilit:

Field Theories for Learning Probability Distributions
Physical Review Letters, 1996