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math.OC2025
Subgradient Regularization: A Descent-Oriented Subgradient Method for Nonsmooth Optimization
Hanyang Li, Ying Cui
In nonsmooth optimization, a negative subgradient is not necessarily a descent direction, making the design of convergent descent methods based on zeroth-order and first-order info…
math.OC2024
Variational Theory and Algorithms for a Class of Asymptotically Approachable Nonconvex Problems
Hanyang Li, Ying Cui
We investigate a class of composite nonconvex functions, where the outer function is the sum of univariate extended-real-valued convex functions and the inner function is the limit…