About Me

I am a Postdoctoral Fellow working with Prof. Defeng Sun in the Department of Applied Mathematics at The Hong Kong Polytechnic University, focusing on mathematical programming and machine learning–including algorithms for large-scale optimization problems, semidefinite programming relaxation, and deep neural networks. Prior to that, I obtained my Ph.D. degree in Mathematics (Operations Research, Mathematical Programming) from Department of Mathematical Sciences at Tsinghua University in January 2024 under the supervision of Prof. Wenxun Xing.

I am currently on the job market, open to opportunities as a:

Researcher in Operations Research and Optimization

Quantitative Researcher

Researcher in Artificial Intelligence

Postdoctoral Fellow, Research Assistant Professor, Assistant Professor

Contact

Current Interests

  • Algorithms for large-scale optimization problems

  • Semidefinite programming relaxation

  • Deep neural networks

(Pre)Publications

*: corresponding author

Preprints

  • Yuhao Zhou*, Jintao Xu, Chenglong Bao, Chao Ding, Jun Zhu. A Regularized Newton Method for Nonconvex Optimization with Global and Local Complexity Guarantees. arXiv:2502.04799, 2025 [pdf].

  • Jintao Xu*, Yifei Li, Wenxun Xing. ADMM Algorithms for Residual Network Training: Convergence Analysis and Parallel Implementation. arXiv:2310.15334v2, 2025 [pdf].

  • Runze Li, Jintao Xu*, Wenxun Xing. Stable Gradient-Adjusted Root Mean Square Propagation on Least Squares Problem. arXiv:2411.15877, 2024 [pdf].

Journal Papers

  • Jintao Xu*, Shu-Cherng Fang, Wenxun Xing. Semidefinite Programming Approximation for a Matrix Optimization Problem over an Uncertain Linear System. Journal of Nonlinear and Variational Analysis. 8(6), 831-853, 2024 [pdf].

  • Jintao Xu*, Chenglong Bao, Wenxun Xing. Convergence Rates of Training Deep Neural Networks via Alternating Minimization Methods. Optimization Letters. 18, 909–923, 2024 [pdf].

  • Yingzhe Xu, Jintao Xu, Cheng Lu, Shu-Cherng Fang*, Zhibin Deng. A New Global Algorithm for Homogeneous Complex Quadratic Programming Problems and Applications. Pacific Journal of Optimization. 20(4), 667-682, 2024 [pdf].

  • Jintao Xu, Wenxun Xing*. SIR Type COVID-19 Multi-Stage Optimal Control Model (in Chinese). Operations Research Transactions. 27(1), 43-52, 2023 [pdf].

Selected Honors and Awards

  • Excellent Doctoral Dissertation of Tsinghua University, 2024

  • Outstanding Graduates of Beijing, 2024

  • China National Scholarship, 2018