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20242026
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math.OC2026

A Provably Convergent Plug-and-Play Framework for Stochastic Bilevel Optimization

Tianshu Chu, Dachuan Xu, Wei Yao +2

Bilevel optimization has recently attracted significant attention in machine learning due to its wide range of applications and advanced hierarchical optimization capabilities. In…

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

SPABA: A Single-Loop and Probabilistic Stochastic Bilevel Algorithm Achieving Optimal Sample Complexity

Tianshu Chu, Dachuan Xu, Wei Yao +1

While stochastic bilevel optimization methods have been extensively studied for addressing large-scale nested optimization problems in machine learning, it remains an open question…

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…

math.OC2025

Efficient Curvature-Aware Hypergradient Approximation for Bilevel Optimization

Youran Dong, Junfeng Yang, Wei Yao +1

Bilevel optimization is a powerful tool for many machine learning problems, such as hyperparameter optimization and meta-learning. Estimating hypergradients (also known as implicit…

math.OC2024

Decomposition Method for Lipschitz Stability of General LASSO-type Problems

Chunhai Hu, Wei Yao, Jin Zhang

This paper introduces a decomposition-based method to investigate the Lipschitz stability of solution mappings for general LASSO-type problems with convex data fidelity and $\ell_1…