Papers
Publications
$^{*}$: corresponding author
- Learning-rate-free Momentum SGD with Reshuffling Converges in Nonsmooth Nonconvex Optimization 
Xiaoyin Hu, Nachuan Xiao*, Xin Liu, Kim-Chuan Toh
Journal of Scientific Computing 102, 85 (2025). - CDOpt: a Python package for a class of Riemannian optimization 
Nachuan Xiao, Xiaoyin Hu*, Xin Liu, Kim-Chuan Toh
Mathematical Programming Computation, 2025. - Adam-family Methods for Nonsmooth Optimization with Convergence Guarantees 
Nachuan Xiao, Xiaoyin Hu*, Xin Liu, Kim-Chuan Toh
Journal of Machine Learning Research, 25(48):1–53, 2024 - A constraint dissolving approach for nonsmooth optimization over the stiefel manifold 
Xiaoyin Hu, Nachuan Xiao*, Xin Liu, Kim-Chuan Toh
IMA Journal of Numerical Analysis, Volume 44, Issue 6, November 2024, Pages 3717–3748. - Convergence properties of stochastic proximal subgradient method in solving a class of composite optimization problems with cardinality regularizer 
Xiaoyin Hu, Xin Liu, Nachuan Xiao*
Journal of Industrial and Management Optimization, 2024, 20(5): 1934-1950. - An improved unconstrained approach for bilevel optimization 
Xiaoyin Hu, Nachuan Xiao*, Xin Liu, Kim-Chuan Toh
SIAM Journal on Optimization, 2023, 33(4): 2801-2829. - Carbon Emissions Abatement(CEA) Allocation Based on Inverse Slack-Based Model(SBM)  
Xiaoyin Hu, Jianshu Li, Xiaoya Li, J.C. Cui*
Journal of the Operation Research Society of China. 2021, 9: 475-498. - A Fast Exact Algorithm for Airplane Refueling Problem 
Jianshu Li*, Xiaoyin Hu, Junjie Luo, J.C. Cui
International Conference on Combinatorial Optimization and Applications. Cham: SpringerInternational Publishing, 2019. 
Preprints
- Partial Envelope for Optimization Problem with Nonconvex Constraints 
Xiaoyin Hu, Nachuan Xiao*, Xin Liu, Kim-Chuan Toh
arXiv preprint arXiv:2510.22223. - A hybrid subgradient method for nonsmooth nonconvex bilevel optimization 
Nachuan Xiao, Xiaoyin Hu*, Xin Liu, Kim-Chuan Toh
arXiv preprint arXiv:2505.22040. - A minimization approach for minimax optimization with coupled constraints 
Xiaoyin Hu, Kim-Chuan Toh, Shiwei Wang, Nachuan Xiao*
arXiv preprint arXiv:2408.17213. - Developing Lagrangian-based methods for nonsmooth nonconvex optimization 
Nachuan Xiao, Kuangyu Ding*, Xiaoyin Hu, Kim-Chuan Toh
arXiv preprint arXiv:2404.09438. - SGD-type Methods with Guaranteed Global Stability in Nonsmooth Nonconvex Optimization 
Nachuan Xiao, Xiaoyin Hu*, Kim-Chuan Toh
arXiv preprint arXiv:2307.10053. 
