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

DOI10.1016/S0895-7177(97)00046-0zbMath0884.45001OpenAlexW2031130978MaRDI QIDQ1368526

Henryk Gzyl, Fabrice Gamboa

Publication date: 17 March 1998

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0895-7177(97)00046-0

zbMATH Keywords

moment problemregularizationmaximum entropymaximum entropy methodsuperresolutionfirst kind Fredholm integral equation

Mathematics Subject Classification ID

Fredholm integral equations (45B05)

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Cites Work

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• The Lévy radius of a set of probability measures satisfying basic moment conditions involving \(\{t,t^ 2\}\)
• Maximum d'entropie et problème des moments. (Maximum entropy and the moment problem)
• Weak convergence and the Prokhorov radius
• I-divergence geometry of probability distributions and minimization problems
• On the failure of maximum entropy reconstruction for Fredholm equations and other infinite systems
• The maximum entropy method on the mean: Applications to linear programming and superresolution
• Maximum entropy reconstruction using derivative information. II: Computational results
• Bayesian methods and maximum entropy for ill-posed inverse problems
• Generalized projections for non-negative functions
• Superresolution in the Markov moment problem
• Duality Relationships for Entropy-Like Minimization Problems
• Maximum entropy regularization of Fredholm integral equations of the first kind
• Superresolution via Sparsity Constraints
• Maximum Entropy Regularization for Fredholm Integral Equations of the First Kind
• On two-dimensional spectral realization
• Sets of Superresolution and the Maximum Entropy Method on the Mean
• Superresolution Rates in Prokhorov Metric
• Partially-Finite Programming in $L_1 $ and the Existence of Maximum Entropy Estimates