Journal
INVERSE PROBLEMS
Volume 24, Issue 3, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/0266-5611/24/3/034004
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We explain some basic theoretical issues regarding nonparametric statistics applied to inverse problems. Simple examples are used to present classical concepts such as the white noise model, risk estimation, minimax risk, model selection and optimal rates of convergence, as well as more recent concepts such as adaptive estimation, oracle inequalities, modern model selection methods, Stein's unbiased risk estimation and the very recent risk hull method.
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