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arXiv · hep-th/9703135

Reparametrization invariant statistical inference and gravity

Vipul Periwal
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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.

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Vipul Periwal. 1997-03-19. Reparametrization invariant statistical inference and gravity. https://doi.org/10.1103/physrevlett.78.4671

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