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Quanqi Hu

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A Single-Loop, Constant-Batch First-Order Penalty Method for Stochastic Bilevel Optimization

Xingyu Chen, Ming Yang, Quanqi Hu وآخرون · 2026

Recent advances in penalty-based methods for stochastic bilevel optimization (SBO) have eliminated the need for second-order derivative oracles. However, for stochastic nonconvex-strongly convex bilevel problems, existing first-order methods typically rely on nested loops and/or large batch sizes for attaining $O(ε^{-6 …

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