Luo Luo

collaborators

2 papers

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…

math.OC2024

An Enhanced Levenberg--Marquardt Method via Gram Reduction

Chengchang Liu, Luo Luo, John C. S. Lui

This paper studied the problem of solving the system of nonlinear equations $F (x) = 0$ , where $F : R^{d} \to R^{d}$ . We propose Gram-Reduced Lev…

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

An Enhanced Levenberg--Marquardt Method via Gram Reduction

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