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On empirical Bayes approach to inverse problems (Q6547685)

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scientific article; zbMATH DE number 7857670

Language	Label	Description	Also known as
English	On empirical Bayes approach to inverse problems	scientific article; zbMATH DE number 7857670

Statements

scholarly article

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On empirical Bayes approach to inverse problems (English)

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publication date

30 May 2024

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zbMATH Keywords

empirical Bayes

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inverse problem

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oracle rate

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PDE

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posterior contraction

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MaRDI profile type

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Posterior contraction rates for the Bayesian approach to linear ill-posed inverse problems

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On coverage and local radial rates of credible sets

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Needles and straw in a haystack: robust confidence for possibly sparse sequences

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Nonparametric statistical inverse problems

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Risk hull method and regularization by projections of ill-posed inverse problems

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Consistency of Bayesian inference with Gaussian process priors in an elliptic inverse problem

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The principle of penalized empirical risk in severely ill-posed problems

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Statistical and computational inverse problems.

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Consistency of Bayesian inference with Gaussian process priors for a parabolic inverse problem

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Posterior consistency and convergence rates for Bayesian inversion with hypoelliptic operators

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A general approach to posterior contraction in nonparametric inverse problems

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Bayesian inverse problems with Gaussian priors

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Bayesian Recovery of the Initial Condition for the Heat Equation

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Statistical Inverse Estimation in Hilbert Scales

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Efficient nonparametric Bayesian inference for \(X\)-ray transforms

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A statistical perspective on ill-posed inverse problems (with discussion)

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Bayesian inverse problems with non-conjugate priors

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Inverse problems: a Bayesian perspective

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Posterior consistency for Bayesian inverse problems through stability and regression results

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Identifiers

zbMATH Open document ID

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10.1007/978-3-031-48579-4_25

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:6547685

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