Article ID Journal Published Year Pages File Type
1856788 Annals of Physics 2011 13 Pages PDF
Abstract

One of the salient features of human perception is its invariance under dilatation in addition to the Euclidean group, but its non-invariance under special conformal transformation. We investigate a holographic approach to the information processing in image discrimination with this feature. We claim that a strongly coupled analogue of the statistical model proposed by Bialek and Zee can be holographically realized in scale invariant but non-conformal Euclidean geometries. We identify the Bayesian probability distribution of our generalized Bialek–Zee model with the GKPW partition function of the dual gravitational system. We provide a concrete example of the geometric configuration based on a vector condensation model coupled with the Euclidean Einstein–Hilbert action. From the proposed geometry, we study sample correlation functions to compute the Bayesian probability distribution.

Related Topics
Physical Sciences and Engineering Physics and Astronomy Physics and Astronomy (General)
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