Lesi Chen

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20242026

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math.OC2025

Faster Gradient Methods for Highly-Smooth Stochastic Bilevel Optimization

Lesi Chen, Junru Li, El Mahdi Chayti +1

This paper studies the complexity of finding an $ε$ -stationary point for stochastic bilevel optimization when the upper-level problem is nonconvex and the lower-level problem is st…

math.OC2025

Solving Convex-Concave Problems with $O ~ (ε^{- 4/7})$ Second-Order Oracle Complexity

Lesi Chen, Chengchang Liu, Luo Luo +1

Previous algorithms can solve convex-concave minimax problems $min_{x \in X} max_{y \in Y} f (x, y)$ with $O (ε^{- 2/3})$ second-order oracle calls usin…

Faster Gradient Methods for Highly-Smooth Stochastic Bilevel Optimization

Solving Convex-Concave Problems with O~(ε−4/7) Second-Order Oracle Complexity

Solving Convex-Concave Problems with $O ~ (ε^{- 4/7})$ Second-Order Oracle Complexity