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Nonlinear estimation for linear inverse problems with error in the
  operator

Nonlinear estimation for linear inverse problems with error in the operator

13 March 2008
M. Hoffmann
M. Reiß
ArXiv (abs)PDFHTML

Papers citing "Nonlinear estimation for linear inverse problems with error in the operator"

43 / 43 papers shown
Functional Partial Least-Squares: Adaptive Estimation and Inference
Functional Partial Least-Squares: Adaptive Estimation and Inference
Andrii Babii
Marine Carrasco
Idriss Tsafack
343
1
0
16 Feb 2024
On Robust Recovery of Signals from Indirect Observations
On Robust Recovery of Signals from Indirect Observations
Yannis Bekri
A. Juditsky
A. Nemirovski
238
2
0
12 Sep 2023
Mixed Laplace approximation for marginal posterior and Bayesian
  inference in error-in-operator model
Mixed Laplace approximation for marginal posterior and Bayesian inference in error-in-operator model
V. Spokoiny
194
3
0
16 May 2023
On Design of Polyhedral Estimates in Linear Inverse Problems
On Design of Polyhedral Estimates in Linear Inverse ProblemsSIAM Journal on Mathematics of Data Science (SIMODS), 2022
A. Juditsky
A. Nemirovski
209
2
0
23 Dec 2022
Deep learning for inverse problems with unknown operator
Deep learning for inverse problems with unknown operator
Miguel del Alamo
292
1
0
05 Aug 2021
Adaptive minimax testing in inverse Gaussian sequence space models
Adaptive minimax testing in inverse Gaussian sequence space models
Sandra Schluttenhofer
Jan Johannes
260
2
0
18 Feb 2020
Anisotropic Functional Deconvolution for the irregular design with
  dependent long-memory errors
Anisotropic Functional Deconvolution for the irregular design with dependent long-memory errors
Rida Benhaddou
205
0
0
01 Dec 2019
Bayesian Inverse Problems with Heterogeneous Variance
Bayesian Inverse Problems with Heterogeneous VarianceScandinavian Journal of Statistics (Scand. J. Stat.), 2019
N. Bochkina
Jenovah Rodrigues
365
1
0
15 Oct 2019
Anisotropic functional deconvolution with long-memory noise: the case of
  a multi-parameter fractional Wiener sheet
Anisotropic functional deconvolution with long-memory noise: the case of a multi-parameter fractional Wiener sheet
Rida Benhaddou
Qing Liu
215
5
0
18 Dec 2018
Minimax adaptive wavelet estimator for the anisotropic functional
  deconvolution model with unknown kernel
Minimax adaptive wavelet estimator for the anisotropic functional deconvolution model with unknown kernel
Rida Benhaddou
Qing Liu
213
1
0
22 Nov 2018
Minimax adaptive wavelet estimator for the simultaneous blind
  deconvolution with fractional Gaussian noise
Minimax adaptive wavelet estimator for the simultaneous blind deconvolution with fractional Gaussian noise
Rida Benhaddou
104
0
0
01 Jun 2018
Rate optimal estimation of quadratic functionals in inverse problems
  with partially unknown operator and application to testing problems
Rate optimal estimation of quadratic functionals in inverse problems with partially unknown operator and application to testing problems
Martin Kroll
483
11
0
11 May 2018
On Polyhedral Estimation of Signals via Indirect Observations
On Polyhedral Estimation of Signals via Indirect Observations
A. Juditsky
A. Nemirovski
273
9
0
17 Mar 2018
Bayesian inverse problems with unknown operators
Bayesian inverse problems with unknown operators
Mathias Trabs
216
12
0
30 Jan 2018
Solution of linear ill-posed problems using random dictionaries
Solution of linear ill-posed problems using random dictionaries
P. Gupta
Marianna Pensky
211
1
0
25 May 2016
Adaptive non-parametric instrumental regression in the presence of
  dependence
Adaptive non-parametric instrumental regression in the presence of dependence
Nicolas Asin
Jan Johannes
169
0
0
07 Apr 2016
Variational Multiscale Nonparametric Regression: Smooth Functions
Variational Multiscale Nonparametric Regression: Smooth Functions
M. Grasmair
Housen Li
Axel Munk
400
17
0
03 Dec 2015
Minimax Goodness-of-Fit Testing in Ill-Posed Inverse Problems with
  Partially Unknown Operators
Minimax Goodness-of-Fit Testing in Ill-Posed Inverse Problems with Partially Unknown Operators
C. Marteau
T. Sapatinas
265
8
0
30 Mar 2015
Adaptive Bayesian estimation in indirect Gaussian sequence space models
Adaptive Bayesian estimation in indirect Gaussian sequence space models
Jan Johannes
Anna Simoni
R. Schenk
273
4
0
01 Feb 2015
Solution of linear ill-posed problems using overcomplete dictionaries
Solution of linear ill-posed problems using overcomplete dictionaries
Marianna Pensky
355
1
0
14 Aug 2014
Model selection in a sparse heterogeneous framework
Model selection in a sparse heterogeneous framework
L. Cavalier
M. Reiß
181
0
0
20 Dec 2013
Optimal Uniform Convergence Rates for Sieve Nonparametric Instrumental
  Variables Regression
Optimal Uniform Convergence Rates for Sieve Nonparametric Instrumental Variables Regression
Xiaohong Chen
T. Christensen
290
22
0
02 Nov 2013
Noisy Laplace deconvolution with error in the operator
Noisy Laplace deconvolution with error in the operator
T. Vareschi
268
22
0
29 Mar 2013
Application of second generation wavelets to blind spherical
  deconvolution
Application of second generation wavelets to blind spherical deconvolutionJournal of Multivariate Analysis (J. Multivar. Anal.), 2013
T. Vareschi
217
3
0
15 Jan 2013
Spatially inhomogeneous linear inverse problems with possible
  singularities
Spatially inhomogeneous linear inverse problems with possible singularities
Marianna Pensky
440
5
0
19 Jun 2012
Blockwise SVD with error in the operator and application to blind
  deconvolution
Blockwise SVD with error in the operator and application to blind deconvolution
S. Delattre
M. Hoffmann
D. Picard
T. Vareschi
319
14
0
13 Apr 2012
Adaptive Gaussian inverse regression with partially unknown operator
Adaptive Gaussian inverse regression with partially unknown operator
Jan Johannes
M. Schwarz
228
17
0
05 Apr 2012
Adaptive estimation of linear functionals in functional linear models
Adaptive estimation of linear functionals in functional linear modelsMathematical Methods of Statistics (MMS), 2011
Jan Johannes
R. Schenk
348
5
0
13 Dec 2011
Adaptive functional linear regression
Adaptive functional linear regression
Fabienne Comte
Jan Johannes
423
59
0
12 Dec 2011
Adaptive estimation of functionals in nonparametric instrumental
  regression
Adaptive estimation of functionals in nonparametric instrumental regression
C. Breunig
Jan Johannes
293
21
0
05 Sep 2011
Nonparametric Regression Estimation Based on Spatially Inhomogeneous
  Data: Minimax Global Convergence Rates and Adaptivity
Nonparametric Regression Estimation Based on Spatially Inhomogeneous Data: Minimax Global Convergence Rates and Adaptivity
A. Antoniadis
Marianna Pensky
T. Sapatinas
334
12
0
22 Jun 2011
Intensity estimation of non-homogeneous Poisson processes from shifted
  trajectories
Intensity estimation of non-homogeneous Poisson processes from shifted trajectories
Jérémie Bigot
S. Gadat
T. Klein
C. Marteau
267
22
0
18 May 2011
High-dimensional instrumental variables regression and confidence sets
High-dimensional instrumental variables regression and confidence sets
Eric Gautier
Christiern D. Rose
747
0
0
12 May 2011
A Threshold Regularization Method for Inverse Problems
A Threshold Regularization Method for Inverse Problems
Paul Rochet
250
0
0
03 May 2011
Shape Constrained Regularisation by Statistical Multiresolution for
  Inverse Problems: Asymptotic Analysis
Shape Constrained Regularisation by Statistical Multiresolution for Inverse Problems: Asymptotic Analysis
K. Frick
Philipp Marnitz
Axel Munk
977
16
0
17 Mar 2010
Sharp template estimation in a shifted curves model
Sharp template estimation in a shifted curves model
Jérémie Bigot
S. Gadat
C. Marteau
259
1
0
09 Nov 2009
On rate optimal local estimation in nonparametric instrumental
  regression
On rate optimal local estimation in nonparametric instrumental regression
C. Breunig
Jan Johannes
368
6
0
12 Feb 2009
On rate optimal local estimation in functional linear model
On rate optimal local estimation in functional linear model
Jan Johannes
R. Schenk
1.2K
5
0
03 Feb 2009
Oracle Inequality for Instrumental Variable Regression
Oracle Inequality for Instrumental Variable Regression
Jean-Michel Loubes
C. Marteau
254
10
0
27 Jan 2009
A deconvolution approach to estimation of a common shape in a shifted
  curves model
A deconvolution approach to estimation of a common shape in a shifted curves model
Jérémie Bigot
S. Gadat
471
44
0
18 Dec 2008
Sparse recovery under matrix uncertainty
Sparse recovery under matrix uncertainty
M. Rosenbaum
Alexandre B. Tsybakov
438
173
0
15 Dec 2008
Thresholding Projection Estimators in Functional Linear Models
Thresholding Projection Estimators in Functional Linear ModelsJournal of Multivariate Analysis (J. Multivar. Anal.), 2008
H. Cardot
Jan Johannes
470
58
0
03 Jun 2008
On rate optimality for ill-posed inverse problems in econometrics
On rate optimality for ill-posed inverse problems in econometricsEconometric Theory (ET), 2007
Xiaohong Chen
M. Reiß
507
131
0
13 Sep 2007
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