Spatially inhomogeneous linear inverse problems with possible singularities
From MaRDI portal
Publication:2438765
DOI10.1214/13-AOS1166zbMath1293.62014arXiv1206.4340MaRDI QIDQ2438765
Publication date: 6 March 2014
Published in: The Annals of Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1206.4340
Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05) Bayesian problems; characterization of Bayes procedures (62C10) Numerical solutions to equations with linear operators (65J10)
Related Items
Anisotropic functional deconvolution for the irregular design: A minimax study, Spatially inhomogeneous linear inverse problems with possible singularities, Anisotropic functional deconvolution with long-memory noise: the case of a multi-parameter fractional Wiener sheet
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Risk hull method and regularization by projections of ill-posed inverse problems
- On universal oracle inequalities related to high-dimensional linear models
- Bayesian inverse problems with Gaussian priors
- Sharp estimation in sup norm with random design
- Optimal spatial adaptation to inhomogeneous smoothness: An approach based on kernel estimates with variable bandwidth selectors
- Optimal pointwise adaptive methods in nonparametric estimation
- Thresholding estimators for linear inverse problems and deconvolutions
- Oracle inequalities for inverse problems
- Nonlinear solution of linear inverse problems by wavelet-vaguelette decomposition
- Spatially inhomogeneous linear inverse problems with possible singularities
- Nonlinear estimation for linear inverse problems with error in the operator
- Asymptotically Minimax Adaptive Estimation. I: Upper Bounds. Optimally Adaptive Estimates
- Wavelet decomposition approaches to statistical inverse problems
- Adaptive Wavelet Galerkin Methods for Linear Inverse Problems
- Statistical Inverse Estimation in Hilbert Scales
- Wavelet Deconvolution in a Periodic Setting
- Nonparametric regression estimation based on spatially inhomogeneous data: minimax global convergence rates and adaptivity
- Convergence Rates of General Regularization Methods for Statistical Inverse Problems and Applications
- On pointwise adaptive curve estimation based on inhomogeneous data
- Nonlinear estimation in anisotropic multi-index denoising
