On Design of Polyhedral Estimates in Linear Inverse Problems
From MaRDI portal
Publication:6202281
DOI10.1137/22m1543331arXiv2212.12516MaRDI QIDQ6202281
Arkadi Nemirovski, Anatoli B. Juditsky
Publication date: 26 March 2024
Published in: SIAM Journal on Mathematics of Data Science (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2212.12516
Nonparametric regression and quantile regression (62G08) Estimation in multivariate analysis (62H12) Linear regression; mixed models (62J05)
Cites Work
- Unnamed Item
- Unnamed Item
- Nonparametric estimation by convex programming
- Speed of estimation in positron emission tomography and related inverse problems
- Discretization effects in statistical inverse problems
- Statistical estimation and optimal recovery
- Minimax risk over \(l_ p\)-balls for \(l_ q\)-error
- Adaptive estimation of linear functionals in Hilbert scales from indirect white noise observa\-tions
- Variational multiscale nonparametric regression: smooth functions
- Near-optimality of linear recovery from indirect observations
- Nonlinear solution of linear inverse problems by wavelet-vaguelette decomposition
- On pointwise adaptive nonparametric deconvolution
- Multiscale scanning in inverse problems
- On polyhedral estimation of signals via indirect observations
- Near-optimality of linear recovery in Gaussian observation scheme under \(\| \cdot \|_{2}^{2}\)-loss
- Nonlinear estimation for linear inverse problems with error in the operator
- Compressive statistical learning with random feature moments
- Wavelet decomposition approaches to statistical inverse problems
- Adaptive Wavelet Galerkin Methods for Linear Inverse Problems
- Statistical Inverse Estimation in Hilbert Scales
- Computational Methods for Inverse Problems
- Statistical Inference via Convex Optimization
- Convergence Rates of General Regularization Methods for Statistical Inverse Problems and Applications
