Research
My research is centered on optimization theory and algorithms. I am particularly interested in accelerated and stochastic optimization, non-Euclidean optimization, and adaptive methods, with applications to scientific computing.
Stochastic Optimization
Nonlinear transformations of stochastic gradients, high-probability guarantees, and sharp complexity bounds under heavy-tailed noise.
Acceleration Techniques
Adaptive algorithms, splitting methods, convergence analysis, and continuous-time perspectives for first-order optimization.
Scientific Computing
Algorithms for structured optimization arising from scientific problems, with emphasis on problem-driven approaches and end-to-end complexity.
Publications
Journal Articles
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Convergent Proximal Multiblock ADMM for Nonconvex Dynamics-Constrained Optimization
Bowen Li and Ya-xiang Yuan, Optimization, 2026. arXiv -
Understanding the ADMM Algorithm via High-Resolution Differential Equations
Bowen Li and Bin Shi, Applied Mathematics & Optimization, 2026. arXiv -
Proximal subgradient norm minimization of ISTA and FISTA
Bowen Li, Bin Shi, and Ya-xiang Yuan, Applied and Computational Harmonic Analysis, 2026. arXiv -
Numerical Solution for Nonlinear 4D Variational Data Assimilation (4D-Var) via ADMM
Bowen Li and Bin Shi, Journal of Computational Physics, 2025. arXiv · code -
Linear Convergence of ISTA and FISTA
Bowen Li, Bin Shi, and Ya-xiang Yuan, Journal of the Operations Research Society of China, 2024. arXiv -
Linear Convergence of Forward-Backward Accelerated Algorithms without Knowledge of the Modulus of Strong Convexity
Bowen Li, Bin Shi, and Ya-xiang Yuan, SIAM Journal on Optimization, 2024. arXiv
Preprints
- Understanding the PDHG Algorithm via High-Resolution Differential Equations
Bowen Li and Bin Shi, preprint, 2024.
Academic Background
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2021–2026
Ph.D. in Computational Mathematics
Academy of Mathematics and Systems Science, Chinese Academy of Sciences -
2017–2021
B.S. in Mathematics and Applied Mathematics
Taishan College, Shandong University
Others
A few personal-use resources that may also be convenient for visitors.
- LaTeX Template — A simple LaTeX template for applied mathematics research papers.
- Daily Notes — A lightweight LaTeX notes template for personal daily use.