Reparametrization invariant statistical inference and gravity

Preprint

19 March 1997

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.hep-th/9703135

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 may involve quantum gravity restricted to metrics of vanishing Weyl curvature.

Keywords

REPARAMETRIZATION INVARIANT
PROBABILITY DISTRIBUTION
STATISTICAL INFERENCE
INVARIANT STATISTICAL
QUANTUM GRAVITY
GRAVITY BIALEK
CALLAN

All Related Versions

Version 1, 1997-03-19, ArXiv
Published version: Physical Review Letters, 78 (25), 4671.

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