Ionospheric tomography via iterative cross-entropy minimization

Properties of cross-entropy minimization

Pattern discovery via entropy minimization

We propose a framework for learning hiddenvariable models by optimizing entropies, in which entropy minimization, posterior maximization, and free energy minimization are all equivalent. Solutions for the maximum a posteriori (MAP) estimator yield powerful learning algorithms that combine all the charms of expectation-maximization and deterministic annealing. Contained as special cases are the ...

Computerized Ionospheric Tomography

ith the transition to the Global Positioning System, Transit has been decommissioned, after having served well for the Fleet. A new system, the Navy Ionospheric Monitoring System, was established using Transit satellites. This article examines the application of the new system to the field of computerized ionospheric tomography. (

Ionospheric Correction Using Tomography

The most demanding application of wide area di erential corrections to GPS is vertical positioning of aircraft on precision approach. Here the Wide Area Augmentation System (WAAS) combines accuracy requirements on the order of ones of meters with safety of life integrity requirements which specify that any vertical position errors greater than the Vertical Protection Limit be enunciated to the ...

Sparse Signal Recovery via Generalized Entropy Functions Minimization

Compressive sensing relies on the sparse prior imposed on the signal to solve the ill-posed recovery problem in an under-determined linear system. The objective function that enforces the sparse prior information should be both effective and easily optimizable. Motivated by the entropy concept from information theory, in this paper we propose the generalized Shannon entropy function and Rényi e...