A unified implicit-gradient-flow framework, Gravidy, encodes orthant, simplex, box, and Stiefel constraints into the dynamics and proves that stationarity recovers KKT conditions.
A dynamical approach to convex minimization coupling approximation with the steepest descent method.Journal of Differential Equations, 128(2):519–540, 1996
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Constrained Optimization via Constraint-Induced Geometry: Implicit Feasible Dynamics and Optimality from Stationarity
A unified implicit-gradient-flow framework, Gravidy, encodes orthant, simplex, box, and Stiefel constraints into the dynamics and proves that stationarity recovers KKT conditions.