Variational methods in AdS/CFT correspondence

Variational Methods in Imaging

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Variational Formulation of Problems and Variational Methods

Variational Methods in Surface Parameterization

A surface parameterization is a function that maps coordinates in a 2-dimensional parameter space to points on a surface. This thesis investigates two kinds of parameterizations for surfaces that are disc-like in shape. The first is a map from a region of the plane to the surface. The second is a mapping from one surface to another, which defines a correspondence between them. The main challeng...

Variational Methods in Bayesian Deconvolution

This paper gives an introduction to the use of variational methods in Bayesian inference and shows how variational methods can be used to approximate the intractable posterior distributions which arise in this kind of inference. The flexibility of these approximations allows us to include positivity constraints when attempting to infer hidden pixel intensities in images. The approximating poste...

Variational Methods in Ads/cft

We prove that the AdS/CFT calculation of 1-point functions can be drastically simplified by using variational arguments. We give a simple proof, valid for any theory that can be derived from a Lagrangian, that the large radius divergencies in 1-point functions can always be renormalized away (at least in the semiclassical approximation). The renormalized 1-point functions then follow by a simpl...