arxivmath.OCcs.LGstat.ML2026-07-09
Nonconvex Composite Functional Constraints via First-Order Augmented Lagrangian Methods under Local Regularity
We study nonasymptotic convergence of primal-dual methods for a class of nonconvex constrained optimization problems with a convex-composite structure. In this class, both the objective and the functional inequality constraints are given by convex Lipschitz outer functions compos…