The maximum entropy method on the mean: Applications to linear programming and superresolution

DOI10.1007/BF01581139zbMath0811.90112MaRDI QIDQ1338137

Fabrice Gamboa, Elisabeth Gassiat

Publication date: 18 April 1995

Published in: Mathematical Programming. Series A. Series B (Search for Journal in Brave)

zbMATH Keywords

superresolutiongeneralized moment problemmaximum entropy method on the mean

Mathematics Subject Classification ID

Applications of mathematical programming (90C90) Linear programming (90C05)

Related Items (4)

Bayesian methods and maximum entropy for ill-posed inverse problems ⋮ Solving Fredholm equations by maximum entropy on the mean. Application to superresolution ⋮ Entropic approach to interior point solution of linear programs ⋮ Superresolution in the maximum entropy approach to invert Laplace transforms

Cites Work

• Linear programming with maximum entropy
• Maximum d'entropie et problème des moments. (Maximum entropy and the moment problem)
• On 'best' interpolation
• Bayesian methods and maximum entropy for ill-posed inverse problems
• Superresolution in the Markov moment problem
• Sur l'interpolation
• An implementation of a discretization method for semi-infinite programming
• Duality Relationships for Entropy-Like Minimization Problems
• Superresolution via Sparsity Constraints
• Consistency of Moment Systems
• Partially-Finite Programming in $L_1 $ and the Existence of Maximum Entropy Estimates
• Convex Analysis
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