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math.OC2026
Continuous-Time Analysis for Minimax and Bilevel Problems
Hyunwoo Lee, Jeongyeol Kwon, Dohyun Kwon
We study single-loop gradient-flow dynamics for nested optimization, where the outer variable evolves while auxiliary variables track the inner solution map. While existing analyse…
math.OC2024
On the Complexity of First-Order Methods in Stochastic Bilevel Optimization
Jeongyeol Kwon, Dohyun Kwon, Hanbaek Lyu
We consider the problem of finding stationary points in Bilevel optimization when the lower-level problem is unconstrained and strongly convex. The problem has been extensively stu…