Convergence Rates for Penalized Least Squares Estimators in PDE Constrained Regression Problems
Autor: | Sven Wang, Sara van de Geer, Richard Nickl |
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Rok vydání: | 2020 |
Předmět: |
Statistics and Probability
Statistics::Theory Applied Mathematics Estimator 010103 numerical & computational mathematics Function (mathematics) Partial differential operator 01 natural sciences Least squares Nonparametric regression Statistics::Machine Learning 010104 statistics & probability Modeling and Simulation Convergence (routing) Statistics::Methodology Discrete Mathematics and Combinatorics Applied mathematics Order (group theory) Constrained regression 0101 mathematics Statistics Probability and Uncertainty Mathematics |
Zdroj: | SIAM/ASA Journal on Uncertainty Quantification. 8:374-413 |
ISSN: | 2166-2525 |
Popis: | We consider PDE constrained nonparametric regression problems in which the parameter $f$ is the unknown coefficient function of a second order elliptic partial differential operator $L_f$, and the ... |
Databáze: | OpenAIRE |
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