arxivstat.MLcs.LGmath.ST2026-07-08
Statistical inverse learning and $\ell^1$-regularization
Abhishake Rastogi, Tatiana A. Bubba, Tapio Helin, Luca Ratti
We study the recovery of sparse functions from finite, noisy, and indirect observations in the framework of statistical inverse learning. The unknown is modeled as an element of $\ell^1$, and observations are generated through a possibly nonlinear forward operator $A:\ell^1\to H$…