Adaptive minimax optimality in statistical inverse problems via SOLIT — Sharp Optimal Lepskii-Inspired Tuning
Authors Li H, Werner F Journal ArXiv Citation arXiv:2304.10356. Abstract We consider statistical linear inverse problems in separable Hilbert spaces and filter-based reconstruction methods of the form f̂α=qα(T∗T)T∗Y, where Y is the available data, T the forward operator, (qα)α∈A an ordered filter, and α>0 a regularization parameter.