Possible instability in the Burg maximum entropy method.

The maximum-entropy method in superspace.

One of the applications of the maximum-entropy method (MEM) in crystallography is the reconstruction of the electron density from phased structure factors. Here the application of the MEM to incommensurately modulated crystals and incommensurate composite crystals is considered. The MEM is computed directly in superspace, where the electron density in the (3+d)-dimensional unit cell (d > 0) is ...

Online Linear Regression using Burg Entropy

We consider the problem of online prediction with a linear model. In contrast to existing work in online regression, which regularizes based on squared loss or KL-divergence, we regularize using divergences arising from the Burg entropy. We demonstrate regret bounds for our resulting online gradient-descent algorithm; to our knowledge, these are the first online bounds involving Burg entropy. W...

Maximum Entropy Method for Composition Vector Method

The Maximum Entropy Method for Lifetime Distributions

An approach to produce a model for the data generating distribution is the well-known maximum entropy method. In this approach, the partial knowledge about the data generating distribution is formulated in terms of a set of information constraints, usually moment constraints, and the inference is based on the model that maximizes Shannon’s entropy under these constraints. In this paper we inves...

Deconvolution by the Multiscale Maximum Entropy Method

In 1994, to overcome the diiculties encountered by the Maximum Entropy Method (MEM) to restore images containing both high and low frequencies, Bontekoe et al. introduced the Pyramid Maximum Entropy Deconvolution. However, this method presents several drawbacks such as parameters estimation (model, alpha). Following these ideas, we propose the Multiscale Maximum Entropy Method which is based on...