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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.OC2025
Optimal Zeroth-Order Bilevel Optimization
Alireza Aghasi, Jeongyeol Kwon, Saeed Ghadimi
In this paper, we develop zeroth-order algorithms with provably (nearly) optimal sample complexity for stochastic bilevel optimization, where only noisy function evaluations are av…