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A Unified Framework for Solving a General Class of Nonconvexly Regularized Convex Models

A Unified Framework for Solving a General Class of Nonconvexly Regularized Convex Models

Recently, several nonconvex sparse regularizers which can preserve the convexity of the cost function have received increasing attention. This paper proposes a general class of such convexity-preserving (CP) regularizers, termed partially smoothed difference-of-convex (pSDC) regularizer. The pSDC regularizer is formulated as a structured difference-of-convex (DC) function, where the landscape of …