Bayesian methods and maximum entropy for ill-posed inverse problems
type: Item
instance of: scholarly article
title: Bayesian methods and maximum entropy for ill-posed inverse problems
zbMATH Open document ID: 0871.62010
published in: The Annals of Statistics
publication date: 1997-10-06T00:00:00Z
Mathematics Subject Classification ID: 62B10
Mathematics Subject Classification ID: 62A01
Mathematics Subject Classification ID: 62F15
Mathematics Subject Classification ID: 60A99
zbMATH DE Number: 1011302
zbMATH Keywords: moment problems
zbMATH Keywords: linear inverse problems
zbMATH Keywords: generalized moments
zbMATH Keywords: maximum entropy on the mean method
zbMATH Keywords: superresolution
zbMATH Keywords: large deviations property
author: Fabrice Gamboa
author: Elisabeth Gassiat
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1214/aos/1034276632
OpenAlex ID: W1995790726
cites work: Large deviations and stochastic homogenization
cites work: Nonparametric Bayesian regression
cites work: Partially-Finite Programming in $L_1 $ and the Existence of Maximum Entropy Estimates
cites work: Large deviations and variational theorems for marginal problems
cites work: Sanov property, generalized I-projection and a conditional limit theorem
cites work: Q3825909
cites work: Why least squares and maximum entropy? An axiomatic approach to inference for linear inverse problems
cites work: On the consistency of Bayes estimates
cites work: Q4203244
cites work: Superresolution via Sparsity Constraints
cites work: Superresolution Rates in Prokhorov Metric
cites work: Prior distributions on spaces of probability measures
cites work: Q4943205
cites work: Q4034495
cites work: The maximum entropy method on the mean: Applications to linear programming and superresolution
cites work: Sets of Superresolution and the Maximum Entropy Method on the Mean
cites work: Blind deconvolution of discrete linear systems
cites work: Q4134389
cites work: Q3344493
cites work: An entropy concentration theorem: applications in artificial intelligence and descriptive statistics
cites work: Q3489647
cites work: Integrals which are convex functionals. II
cites work: Maximum entropy and conditional probability
cites work: Q3341599
cites work: Q3996207
DOI: 10.1214/AOS/1034276632
description: scientific article; zbMATH DE number 1011302