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math.OC2026
A Composite Representation Theorem for Solution Mappings in Regularized Composite Optimization with Applications to Hausdorff Lipschitz Stability
Peixuan Yang, Wei Yao, Jin Zhang
We study the geometry and stability of solution mappings in regularized composite optimization, allowing multiple minimizers. We establish a composite representation that separates…
math.OC2026
Directional first order approach for a class of bilevel programs
Kuang Bai, Wei Yao, Jane J. Ye +1
In this paper, we study a class of bilevel optimization program, where the feasible set of the lower level program is independent of the upper level variable. For bilevel programs…
math.OC2026
SUN-DSBO: A Structured Unified Framework for Nonconvex Decentralized Stochastic Bilevel Optimization
Yaoshuai Ma, Xiao Wang, Wei Yao +1
Decentralized stochastic bilevel optimization (DSBO) is a powerful tool for various machine learning tasks, including decentralized meta-learning and hyperparameter tuning. Existin…