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math.OC2026
Exact-Penalty Prox-Linear Methods for Bilevel Optimization with Lower-Level Gradient Penalty
Yutong Zheng, Jiani Li, Qingna Li
Bilevel optimization is a fundamental framework for hierarchical decision-making, but its solution is challenging due to the implicit and typically set-valued nature of the lower-l…
math.NA2026
Fast Algorithms for Optimal Damping in Mechanical Systems
Qingna Li, Françoise Tisseur
Optimal damping aims at determining a vector of damping coefficients that maximizes the decay rate of a mechanical system's response. This problem can be formulated as the mini…