On Stability in Optimistic Bilevel Optimization

arXiv:2408.13323 · math.OC, cs.LG, cs.SY, eess.SY · Submitted 2026-08-17 · Read on arXiv

Johannes O. Royset

math.OC, cs.LG, cs.SY, eess.SY

Submitted: 2026-08-17

Updated: 2026-08-19

Terminology

• Objective Function — 13× in this paper · explained in 2 episodes
• Regularization — 5× in this paper · explained in 3 episodes
• Multi-objective Optimization — 1× in this paper · explained in 4 episodes
• Unified Framework — 1× in this paper · explained in 5 episodes

Sources

• Theoretical smoothing frameworks for nonsmooth simple bilevel problems
• On Penalty Methods for Nonconvex Bilevel Optimization and First-Order Stochastic Approximation

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