A proximal variable smoothing method with backtracking stepsizes finds stationary points for nonlinearly composite nonsmooth optimization with O(epsilon^-3) iteration complexity.
The convergence guarantees of a non-convex approach for sparse recovery,
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A Proximal Variable Smoothing for Minimization of Nonlinearly Composite Nonsmooth Function -- Finite-Max Minimization and MIMO Applications
A proximal variable smoothing method with backtracking stepsizes finds stationary points for nonlinearly composite nonsmooth optimization with O(epsilon^-3) iteration complexity.