Optimal adaptive estimation of linear functionals under sparsity
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Publication:1991697
DOI10.1214/17-AOS1653zbMath1456.62141arXiv1611.09744MaRDI QIDQ1991697
Olivier Collier, Nicolas Verzelen, Alexandre B. Tsybakov, Laetitia Comminges
Publication date: 30 October 2018
Published in: The Annals of Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1611.09744
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Cites Work
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- An oracle approach to adaptive estimation of linear functionals in a Gaussian model
- Pointwise and sup-norm sharp adaptive estimation of functions on the Sobolev classes
- Minimax estimation of linear functionals over nonconvex parameter spaces.
- Minimax risks for sparse regressions: ultra-high dimensional phenomenons
- Adaptive estimation of linear functionals by model selection
- Minimax estimation of linear and quadratic functionals on sparsity classes
- On adaptive estimation of linear functionals
- The method of risk envelope in estimation of linear functionals
- Introduction to nonparametric estimation