Solving Fredholm equations by maximum entropy on the mean. application to superresolution

Authors:
F. Gamboa;H. Gzyl
Affiliations:
Laboratoire de Statistiques Université Paris Sud F-91405 Orsay, France and Université Paris-Nord Institut Galilée F-93430 Villetaneuse, France;Universidad Simón Bolivar, Sartenejas, Venezuela and Universidad Central de Venezuela, Venezuela
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
1997

Citing 6
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The maximum entropy method on the mean: applications to linear programming and superresolution

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On two-dimensional spectral realization

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Abstract

We present a maxentropic approach to the study of regularized Fredholm equations. Besides making the maxentropic approach work, the regularization has an important practical origin, namely, the data function is usually contaminated with noise, which naturally requires solutions to lie in some neighborhood of a mean datum. Superresolution occurs when, for some data functions, there exists only one possible solution, and max-ent provides a neat way to pin it down.