3 papers
math.OC2025
Adaptive Algorithms for Nonconvex Bilevel Optimization under PÅ Conditions
Xu Shi, Yinglin Du, Rufeng Xiao +1
Existing methods for nonconvex bilevel optimization (NBO) require prior knowledge of first- and second-order problem-specific parameters (e.g., Lipschitz constants and the Polyak-Å…
math.OC2025
An Adaptive Algorithm for Bilevel Optimization on Riemannian Manifolds
Xu Shi, Rufeng Xiao, Rujun Jiang
Existing methods for solving Riemannian bilevel optimization (RBO) problems require prior knowledge of the problem's first- and second-order information and curvature parameter of…
math.OC2025
Near-Optimal Algorithms for Convex Simple Bilevel Optimization under Weak Assumptions
Rujun Jiang, Xu Shi, Weizheng Song +1
This paper considers the simple bilevel optimization (SBO) problem, which minimizes a composite convex function over the optimal solution set of another composite convex minimizati…