On polyhedral estimation of signals via indirect observations
From MaRDI portal
Publication:2293715
DOI10.1214/19-EJS1661zbMath1436.62718arXiv1803.06446OpenAlexW3002306448MaRDI QIDQ2293715
Anatoli B. Juditsky, Arkadi Nemirovski
Publication date: 5 February 2020
Published in: Electronic Journal of Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1803.06446
Nonparametric regression and quantile regression (62G08) Density estimation (62G07) Estimation in multivariate analysis (62H12) Functional data analysis (62R10) Linear regression; mixed models (62J05)
Related Items
On Design of Polyhedral Estimates in Linear Inverse Problems, Estimating linear and quadratic forms via indirect observations, Aggregating estimates by convex optimization
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Hypothesis testing by convex optimization
- Nonparametric estimation by convex programming
- Concentration inequalities and model selection. Ecole d'Eté de Probabilités de Saint-Flour XXXIII -- 2003.
- Speed of estimation in positron emission tomography and related inverse problems
- Minimax risk over hyperrectangles, and implications
- Optimal filtering of square-integrable signals in Gaussian noise
- Discretization effects in statistical inverse problems
- F. Y. Edgeworth and R. A. Fisher on the efficiency of maximum likelihood estimation
- Statistical estimation and optimal recovery
- Minimax risk over \(l_ p\)-balls for \(l_ q\)-error
- Variational multiscale nonparametric regression: smooth functions
- Near-optimality of linear recovery from indirect observations
- Statistical and computational inverse problems.
- Minimax estimation via wavelet shrinkage
- Nonlinear solution of linear inverse problems by wavelet-vaguelette decomposition
- Linear minimax estimation with ellipsoidal constraints
- Multiscale scanning in inverse problems
- 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
- Model selection via testing: an alternative to (penalized) maximum likelihood estimators.
- Lectures on Modern Convex Optimization
- Maximum Likelihood: An Introduction
- An EM algorithm for wavelet-based image restoration
- 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
- Wavelet Deconvolution in a Periodic Setting
- Linear Statistical Inference and its Applications
- All of Nonparametric Statistics