(Tenure-track) Associate Professor

Academy of Mathematics and Systems Science, Chinese Academy of Sciences

Sep 2022 – Present Beijing, China
Academic staff of LSEC and ICMSEC


University of Münster

Sep 2021 – Aug 2022 Münster, Germany



Sep 2019 – Aug 2021 Louvain-la-Neuve, Belgium


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Refereed papers & preprints

Symplectic Stiefel manifold: tractable metrics, second-order geometry and Newton's methods. arXiv:2406.14299, (2024).


Optimization without retraction on the random generalized Stiefel manifold. Proceedings of the 41st International Conference on Machine Learning (ICML), (2024), accepted.


LancBiO: dynamic Lanczos-aided bilevel optimization via Krylov subspace. arXiv:2404.03331, (2024).

Code Preprint

Riemannian preconditioned algorithms for tensor completion via tensor ring decomposition. Computational Optimization and Applications, 88 (2024), 443–468.

DOI Code Preprint

Optimization on the symplectic Stiefel manifold: SR decomposition-based retraction and applications. Linear Algebra and Its Applications, 682 (2024), 50–85.

DOI Code Preprint

Low-rank optimization on Tucker tensor varieties. arXiv:2311.18324, (2023).

Code Preprint

Alternating minimization algorithms for graph regularized tensor completion. arXiv:2008.12876, (2023).

Code Preprint

Optimization on product manifolds under a preconditioned metric. arXiv:2306.08873, (2023).

Code Preprint

Optimization flows landing on the Stiefel manifold. 25th IFAC Symposium on Mathematical Theory of Networks and Systems (MTNS 2022), IFAC-PapersOnLine, 55-30 (2022), 25–30.

DOI Preprint

On the analysis of optimization with fixed-rank matrices: a quotient geometric view. arXiv:2203.06765, (2022).


An orthogonalization-free parallelizable framework for all-electron calculations in density functional theory. SIAM Journal on Scientific Computing, 44-3 (2022), B723–B745.

DOI Preprint

New Riemannian preconditioned algorithms for tensor completion via polyadic decomposition. SIAM Journal on Matrix Analysis and Applications, 43-2 (2022), 840–866.

DOI Code Preprint

A Riemannian rank-adaptive method for low-rank matrix completion. Computational Optimization and Applications, 81 (2022), 67–90.

DOI Code Preprint

Computing symplectic eigenpairs of symmetric positive-definite matrices via trace minimization and Riemannian optimization. SIAM Journal on Matrix Analysis and Applications, 42-4 (2021), 1732–1757.

DOI Code Preprint

Geometry of the symplectic Stiefel manifold endowed with the Euclidean metric. Geometric Science of Information: 5th International Conference, GSI 2021, Lecture Notes in Computer Science, 12829 (2021), 789–796.

DOI Code Preprint

Riemannian optimization on the symplectic Stiefel manifold. SIAM Journal on Optimization, 31-2 (2021), 1546–1575.

DOI Code Preprint

Multipliers correction methods for optimization problems over the Stiefel manifold. CSIAM Transactions on Applied Mathematics, 2-3 (2021), 508–531.

DOI Preprint

Parallelizable algorithms for optimization problems with orthogonality constraints. SIAM Journal on Scientific Computing, 41-3 (2019), A1949–A1983.

DOI Code Preprint

A new first-order algorithmic framework for optimization problems with orthogonality constraints. SIAM Journal on Optimization, 28-1 (2018), 302–332.

DOI Code Preprint

First-order algorithms for optimization problems with orthogonality constraints. OR Transactions (in Chinese), 21-4 (2017), 57–68.


On the Łojasiewicz exponent of the quadratic sphere constrained optimization problem. arXiv:1611.08781, (2016).



Bin Gao, Optimization with Orthogonality Constraints: Theory, Algorithms and Applications, Ph.D. thesis, University of Chinese Academy of Sciences (2019, in Chinese). PDF Slides


Collaborators & students

Long-term collaborators:

PhD & students in cooperation:

  • Xinhui Xiong (2024.9-), from Wuhan University
  • Yan Yang (cooperation from 2023.8-), from the University of Chinese Academy of Sciences
  • Renfeng Peng (cooperation from 2022.11-), from Tongji University


  • Zhen Peng (2023.11-), PhD from Beihang University

Selected presentations

Date Conference Place
2024.06 The 21st EUROPT Conference on Advances in Continuous Optimization (EUROPT 2024) Lund, Sweden
2024.05 SIAM Conference on Applied Linear Algebra (LA24) Paris, France
2023.09 Autumn School on Control of Dynamical Systems and Nonlinear Optimization Hanoi, Vietnam
2023.08 10th International Congress on Industrial and Applied Mathematics (ICIAM 2023) Tokyo, Japan
2021.07 5th conference on Geometric Science of Information (GSI’21) Paris, France
2018.07 The 23nd International Symposium on Mathematical Programming (ISMP 2018) Bordeaux, France
2016.06 The 11th East Asia SIAM Conference (EASIAM2016) Macao, China

Academic visits

Duration Place Host
2023.09.07-09.22 Vietnam Institute for Advanced Study in Mathematics, Hanoi, Vietnam VIASM
2019.07.20-08.18 University of Macau, Macau Guanghui Hu

Selected awards

2021 Zhong Jiaqing Mathematics Award 钟家庆数学奖
2018 Best student paper award of CSIAM 2018
2018 CAS special prize of president scholarship 中科院院长特别奖
2017 National scholarship for doctoral student 国家奖学金 博士
2016 Honor student award of international workshop on modern optimizaion and application

Grants & programs

As the PI
2023.12-2026.12 National High-level Young Talents Program 国家海外高层次人才计划
2023.06-2025.05 National Science and Technology Major Project
2023.02-2025.12 Talents Program of the Chinese Academy of Sciences 中科院海外高层次人才计划
2023.01-2025.12 Young Elite Scientist Sponsorship Program by CAST 中国科协青年人才托举工程
As a member
2023.12-2028.12 National Key R&D Program of China



A Riemannian Rank-Adaptive Method for low-rank matrix completion

Symplectic eigenvalue problem via trace minimization and Riemannian optimization

Riemannian optimization on the symplectic Stiefel manifold

Parallelizable Column-wise Augmented Lagrangian approaches for optimization with orthogonality constraints

A First-Order Framework for optimization problems with orthogonality constraints.


  • gaobin (.a.t.) lsec.cc.ac.cn
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