Primal-dual hybrid gradient method for distributionally robust optimization problems. - Yongchao Liu; Xiaoming Yuan 001; Shangzhi Zeng; Jin Zhang 002 (Oper. Res. Lett., 2017)

Partial Error Bound Conditions and the Linear Convergence Rate of the Alternating Direction Method of Multipliers. - Yongchao Liu; Xiaoming Yuan 001; Shangzhi Zeng; Jin Zhang 002 (SIAM J. Numer. Anal., 2018)

Bilevel Integrative Optimization for Ill-posed Inverse Problems. - Risheng Liu; Long Ma 002; Xiaoming Yuan 001; Shangzhi Zeng; Jin Zhang 002 (CoRR, 2019)

A Generic First-Order Algorithmic Framework for Bi-Level Programming Beyond Lower-Level Singleton. - Risheng Liu; Pan Mu; Xiaoming Yuan 001; Shangzhi Zeng; Jin Zhang 002 (ICML, 2020)

Discerning the Linear Convergence of ADMM for Structured Convex Optimization through the Lens of Variational Analysis. - Xiaoming Yuan 001; Shangzhi Zeng; Jin Zhang 002 (J. Mach. Learn. Res., 2020)

A Value-Function-based Interior-point Method for Non-convex Bi-level Optimization. - Risheng Liu; Xuan Liu; Xiaoming Yuan 001; Shangzhi Zeng; Jin Zhang 002 (ICML, 2021)

Towards Gradient-based Bilevel Optimization with Non-convex Followers and Beyond. - Risheng Liu; Yaohua Liu; Shangzhi Zeng; Jin Zhang 002 (NeurIPS, 2021)

A Generic Descent Aggregation Framework for Gradient-based Bi-level Optimization. - Risheng Liu; Pan Mu; Xiaoming Yuan 001; Shangzhi Zeng; Jin Zhang 002 (CoRR, 2021)

Value Function based Difference-of-Convex Algorithm for Bilevel Hyperparameter Selection Problems. - Lucy L. Gao; Jane J. Ye; Haian Yin; Shangzhi Zeng; Jin Zhang 002 (ICML, 2022)

Optimization-Derived Learning with Essential Convergence Analysis of Training and Hyper-training. - Risheng Liu; Xuan Liu; Shangzhi Zeng; Jin Zhang 002; Yixuan Zhang 002 (ICML, 2022)

Towards Extremely Fast Bilevel Optimization with Self-governed Convergence Guarantees. - Risheng Liu; Xuan Liu; Wei Yao 014; Shangzhi Zeng; Jin Zhang 002 (CoRR, 2022)

Task-Oriented Convex Bilevel Optimization With Latent Feasibility. - Risheng Liu; Long Ma 002; Xiaoming Yuan 001; Shangzhi Zeng; Jin Zhang 002 (IEEE Trans. Image Process., 2022)

Averaged Method of Multipliers for Bi-Level Optimization without Lower-Level Strong Convexity. - Risheng Liu; Yaohua Liu; Wei Yao 014; Shangzhi Zeng; Jin Zhang 002 (ICML, 2023)

Moreau Envelope Based Difference-of-weakly-Convex Reformulation and Algorithm for Bilevel Programs. - Lucy L. Gao; Jane J. Ye; Haian Yin; Shangzhi Zeng; Jin Zhang 002 (CoRR, 2023)

A General Descent Aggregation Framework for Gradient-Based Bi-Level Optimization. - Risheng Liu; Pan Mu; Xiaoming Yuan 001; Shangzhi Zeng; Jin Zhang 002 (IEEE Trans. Pattern Anal. Mach. Intell., 2023)

A globally convergent proximal Newton-type method in nonsmooth convex optimization. - Boris S. Mordukhovich; Xiaoming Yuan 001; Shangzhi Zeng; Jin Zhang 002 (Math. Program., 2023)

Difference of convex algorithms for bilevel programs with applications in hyperparameter selection. - Jane J. Ye; Xiaoming Yuan 001; Shangzhi Zeng; Jin Zhang 002 (Math. Program., 2023)

Hierarchical Optimization-Derived Learning. - Risheng Liu; Xuan Liu; Shangzhi Zeng; Jin Zhang 002; Yixuan Zhang 002 (IEEE Trans. Pattern Anal. Mach. Intell., 2023)

Value-Function-Based Sequential Minimization for Bi-Level Optimization. - Risheng Liu; Xuan Liu; Shangzhi Zeng; Jin Zhang 002; Yixuan Zhang 002 (IEEE Trans. Pattern Anal. Mach. Intell., 2023)

Constrained Bi-Level Optimization: Proximal Lagrangian Value Function Approach and Hessian-free Algorithm. - Wei Yao; Chengming Yu; Shangzhi Zeng; Jin Zhang (ICLR, 2024)

Moreau Envelope for Nonconvex Bi-Level Optimization: A Single-Loop and Hessian-Free Solution Strategy. - Risheng Liu; Zhu Liu 004; Wei Yao 014; Shangzhi Zeng; Jin Zhang 002 (ICML, 2024)

Overcoming Lower-Level Constraints in Bilevel Optimization: A Novel Approach with Regularized Gap Functions. - Wei Yao; Haian Yin; Shangzhi Zeng; Jin Zhang (ICLR, 2025)