A function class whose sublevel sets are star-shaped at a minimizer unifies several generalized convexity conditions and yields linear convergence of first-order methods, including a new proximal point result on star-shaped sets.
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Star Quasiconvexity: a Unified Approach for Linear Convergence of First-Order Methods Beyond Convexity
A function class whose sublevel sets are star-shaped at a minimizer unifies several generalized convexity conditions and yields linear convergence of first-order methods, including a new proximal point result on star-shaped sets.