English

Reparametrization invariant statistical inference and gravity

High Energy Physics - Theory 2009-10-30 v1

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

Cite

@article{arxiv.hep-th/9703135,
  title  = {Reparametrization invariant statistical inference and gravity},
  author = {Vipul Periwal},
  journal= {arXiv preprint arXiv:hep-th/9703135},
  year   = {2009}
}

Comments

4 pages, RevTex