Reparametrization Invariant Statistical Inference and Gravity
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 onedimensional 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.
 Publication:

Physical Review Letters
 Pub Date:
 June 1997
 DOI:
 10.1103/PhysRevLett.78.4671
 arXiv:
 arXiv:hepth/9703135
 Bibcode:
 1997PhRvL..78.4671P
 Keywords:

 High Energy Physics  Theory
 EPrint:
 4 pages, RevTex