arxivstat.MLcs.LGeess.SP2026-07-12
Demixing Sparse Signals from Nonlinear Observations using Generalized Non-convex Regularization
We consider the recovery of a pair of sparse vectors from a limited number of nonlinear observations of their superposition: $y_i=g(\inner{\ba_i}{\bPhi\bw^\ast+\bPsi\bz^\ast})+e_i$, $i=1,\dots,m$, with $m\ll n$, incoherent orthonormal bases $\bPhi,\bPsi$, a scalar link $g$, and n…