Xiaoming Yuan
Email
My research is focused on AI-Collaborated Computation, Optimization, Optimal Control, Industry
External Scientific Member
The University of Hong Kong
ORCID
I obtained Ph.D from City University of Hong Kong in 2004, and M.Phil and B.Sc from Nanjing University in 2001 and 1999, respectively. I am now a full professor at Department of Mathematics, The University of Hong Kong. My research areas include various topics in applied mathematics and AI, as well as their applications in Industry.
Research interests
My research is focused on
• AI-Collaborated Computation,
• Optimization,
• Optimal Control,
• Industry
Publications
2025
- Lai, M., Song, Y., Yuan, X., Yue, H., & Zeng, T. (2025). The hard-constraint PINNs for interface optimal control problems. SIAM J. Sci. Comput., 47(3), c601–c629. https://doi.org/10.1137/23M1601249
- Wu, H. & Yuan, X. (2025). Breaking quadrature exactness: A spectral method for the Allen–Cahn equation on spheres. (Unpublished, Submitted). arXiv: 2305.04820
2024
- Song, Y., Yuan, X., & Yue, H. (2024). The ADMM-PINNs algorithmic framework for nonsmooth PDE-constrained optimization: a deep learning approach. SIAM J. Sci. Comput., 46(6), c659–c687. https://doi.org/10.1137/23M1566935
- Song, Y., Wang, Z., Yuan, X., & Yue, H. (2024). A Single-Loop Stochastic Proximal Quasi-Newton Method for Large-Scale Nonsmooth Convex Optimization. (Unpublished, Submitted). arXiv: 2409.16971
- Song, Y., Yuan, X., Yue, H., & Zeng, T. (2024). An Operator Learning Approach to Nonsmooth Optimal Control of Nonlinear PDEs. (Unpublished, Submitted). arXiv: 2409.14417
2023
- He, B., Xu, S., & Yuan, X. (2023). Extensions of ADMM for separable convex optimization problems with linear equality or inequality constraints. Numerical control. Part B. https://doi.org/10.1016/bs.hna.2022.08.002
- He, B. & Yuan, X. (2023). On construction of splitting contraction algorithms in a prediction-correction framework for separable convex optimization. Commun. Optim. Theory, 2023, 23. https://doi.org/10.23952/cot.2023.28
- Song, Y., Yuan, X., & Yue, H. (2023). A numerical approach to the optimal control of thermally convective flows. J. Comput. Phys., 494, 25. https://doi.org/10.1016/j.jcp.2023.112458
- Biccari, U., Song, Y., Yuan, X., & Zuazua, E. (2023). A two-stage numerical approach for the sparse initial source identification of a diffusion-advection equation. Inverse Probl., 39(9), 30. https://doi.org/10.1088/1361-6420/ace548
- An, C., Wu, H., & Yuan, X. (2023). Enhanced total variation minimization for stable image reconstruction. Inverse Probl., 39(7), 37. https://doi.org/10.1088/1361-6420/acd4e1
- Liu, Z., Ai, T., Huang, L., Yuan, X., Zhang, M., & Huang, L. (2023). The scattering of seismic waves from saturated river valley with water layer: modelled by indirect boundary element method. Eng. Anal. Bound. Elem., 149, 282–297. https://doi.org/10.1016/j.enganabound.2023.01.021
- He, B., Ma, F., Xu, S., & Yuan, X. (2023). A rank-two relaxed parallel splitting version of the augmented Lagrangian method with step size in \((0, 2)\) for separable convex programming. Math. Comput., 92(342), 1633–1663. https://doi.org/10.1090/mcom/3822
- Ye, J. J., Yuan, X., Zeng, S., & Zhang, J. (2023). Difference of convex algorithms for bilevel programs with applications in hyperparameter selection. Math. Program., 198(2 (B)), 1583–1616. https://doi.org/10.1007/s10107-022-01888-3
- Mordukhovich, B. S., Yuan, X., Zeng, S., & Zhang, J. (2023). A globally convergent proximal Newton-type method in nonsmooth convex optimization. Math. Program., 198(1 (A)), 899–936. https://doi.org/10.1007/s10107-022-01797-5
- Liu, Z., Li, Z., Yuan, X., & Yao, Y. (2023). Convergence Analysis of Randomized SGDA under NC-PL Condition for Stochastic Minimax Optimization Problems. (Unpublished, Submitted). arXiv: 2307.13880