Adaptive minimax optimality in statistical inverse problems via SOLIT -- Sharp Optimal Lepskii-Inspired Tuning

Housen Li, Frank Werner

We consider statistical linear inverse problems in separable Hilbert spaces and filter-based reconstruction methods of the form ${\hat{f}}_{\alpha }=q_{\alpha }\left(T^{\ast }T\right)T^{\ast }Y$, where $Y$ is t…