Author

Lin-Xuan Pan

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Preprint Sep 2026

Optimal High-Order Methods for Solving Monotone Variational Inequalities

We study second- and higher-order methods for solving smooth monotone variational inequalities (MVI). Monteiro and Svaiter (SIAM J. Optim., 2012) showed that a second-order method, NPE, converges at a rate of $\mathcal{O}(T^{-1.5})$. For convex-concave minimax optimization, a subclass of MVI problems, Chen, Liu, Luo, a...

Xin-Liang Zhang, Le-Si Chen, Lin-Xuan Pan et al. · 1 citation

#machine learning Preprint Oct 2026

Optimal Stochastic Bilevel Optimization with First-Order Oracles

We study nonconvex--strongly-convex bilevel optimization under a stochastic first-order oracle. We introduce MRT-FD, a single-loop first-order method that simultaneously tracks the upper-level variable, the lower-level solution, and the auxiliary response arising from implicit differentiation of the hyperobjective. MRT...

Lin-Xuan Pan, Jun-Chi Yang · 1 citation