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Journal Article
Annals of Statistics, ISSN 0090-5364, 2018, Volume 46, Issue 6B, pp. 3569 - 3602
Journal Article
Inverse Problems, ISSN 0266-5611, 09/2015, Volume 31, Issue 9, pp. 93001 - 93021
Journal Article
2011, ISBN 9789814338776, xxi, 326
Book
IEEE Transactions on Information Theory, ISSN 0018-9448, 06/2018, Volume 64, Issue 6, pp. 4129 - 4158
Journal Article
SIAM Journal on Matrix Analysis and Applications, ISSN 0895-4798, 2017, Volume 38, Issue 2, pp. 458 - 477
In this paper, we consider optimal low-rank regularized inverse matrix approximations and their applications to inverse problems... 
Bayes risk | Ill-posed inverse problems | Regularization | Low-rank matrix approximation | SPARSE LINEAR-EQUATIONS | MATHEMATICS, APPLIED | regularization | TOMOSYNTHESIS | LOW-RANK APPROXIMATIONS | ill-posed inverse problems | low-rank matrix approximation | ALGORITHMS | LSQR
Journal Article
The Annals of Statistics, ISSN 0090-5364, 10/2011, Volume 39, Issue 5, pp. 2626 - 2657
The posterior distribution in a nonparametric inverse problem is shown to contract to the true parameter at a rate that depends on the smoothness of the parameter, and the smoothness and scale of the prior... 
Minimax | Gaussian distributions | Inverse problems | Covariance | Linear transformations | Eigenvalues | Hilbert spaces | Mathematical independent variables | Coordinate systems | Credible set | Rate of contraction | Gaussian prior | Posterior distribution | STATISTICS & PROBABILITY | PARAMETERS | INFERENCE | rate of contraction | posterior distribution | ASYMPTOTIC NORMALITY | HILBERT SCALES | REGULARIZATION | FUNCTIONALS | POSTERIOR DISTRIBUTIONS | CONVERGENCE-RATES | 62G05 | 62G20 | 62G15
Journal Article
Journal Article