Bin Gao (高斌)

Associate Professor

Academy of Mathematics and Systems Science

Chinese Academy of Sciences

Short Bio

Bin Gao is an associate professor at the Academy of Mathematics and Systems Science, Chinese Academy of Sciences. He received the Bachelor degree (2014) in mathematics at Sichuan University and the PhD (2019) in applied mathematics at the University of Chinese Academy of Sciences. From 2019 to 2022, he was a post-doctoral fellow at UCLouvain (2019-2021) and University of Münster (2021-2022). His research interests include numerical methods for optimization on manifolds and their applications. He is also interested in tensor computation, machine learning, and parallel/distributed optimization stemming from various research and engineering areas.

Open positions: I am looking for highly motivated and self-driven PhD students and postdocs. Please drop me a line with your interests and CV.

popman blog: Our group is called “popman” and we share our thoughts and insights in this blog.

Updates

2025

06-04: new preprint - “Distributed retraction-free and communication-efficient optimization on the Stiefel manifold.”
05-02: new paper accepted in SIAM Journal on Matrix Analysis and Applications - “Optimization on product manifolds under a preconditioned metric.”
05-01: new conference paper accepted in ICML2025 - “Distributed retraction-free and communication-efficient optimization on the Stiefel manifold.”
04-12: new conference paper accepted in ISIT2025 - “Riemannian optimization for Holevo capacity.”
03-07: new preprint - “First-order methods on bounded-rank tensors converging to stationary points.”
01-24: new preprint - “A space-decoupling framework for optimization on bounded-rank matrices with orthogonally invariant constraints.”
01-23: new conference paper accepted in ICLR2025 - “LancBiO: dynamic Lanczos-aided bilevel optimization via Krylov subspace.”
01-22: new conference paper accepted in AISTATS2025 - “Bilevel reinforcement learning via the development of hyper-gradient without lower-level convexity.”
01-22: new preprint - “Riemannian optimization for Holevo capacity.”

2024

12-20: new post - “Matrix variety: basic geometry” by Bin Gao.
12-13: new paper accepted in Mathematical Programming - “Low-rank optimization on Tucker tensor varieties.”
12-13: new paper accepted in Journal of Machine Learning Research - “Infeasible deterministic, stochastic, and variance-reduction algorithms for optimization under orthogonality constraints.”
11-22: new preprint - “Desingularization of bounded-rank tensor sets.”
06-20: new preprint - “Symplectic Stiefel manifold: tractable metrics, second-order geometry and Newton’s methods.”

Interests

Riemannian Optimization
Tensor Computation
Parallel/Distributed Computing
Machine Learning

Education

Ph.D. in Applied Mathematics, 2019

University of Chinese Academy of Sciences
B.Sc. in Mathematics, 2014

Sichuan University, China

Experience

(tenured) Associate Professor

Academy of Mathematics and Systems Science, Chinese Academy of Sciences

Apr 2025 – Present Beijing, China

Academic staff of ICMSEC

(tenure-track) Associate Professor

Academy of Mathematics and Systems Science, Chinese Academy of Sciences

Sep 2022 – Mar 2025 Beijing, China

Academic staff of LSEC and ICMSEC

Postdoc

University of Münster

Sep 2021 – Aug 2022 Münster, Germany

Host: Benedikt Wirth

Postdoc

UCLouvain

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

Host: P.-A. Absil

Publications

A full list on Google Scholar >>

Refereed papers & preprints

Yilong Song, Peijin Li, Bin Gao, Kun Yuan. Distributed retraction-free and communication-efficient optimization on the Stiefel manifold. Proceedings of the 42st International Conference on Machine Learning (ICML 2025), (2025), accepted.

Preprint

Bin Gao, Renfeng Peng, Ya-xiang Yuan. Optimization on product manifolds under a preconditioned metric. SIAM Journal on Matrix Analysis and Applications, (2025), accepted.

Code Preprint Slides

Chengkai Zhu, Renfeng Peng, Bin Gao, Xin Wang. Riemannian optimization for Holevo capacity. 2025 IEEE International Symposium on Information Theory (ISIT), (2025), accepted.

Code Preprint

Bin Gao, Renfeng Peng, Ya-xiang Yuan. First-order methods on bounded-rank tensors converging to stationary points. arXiv:2503.04523, (2025).

Code Preprint

Yan Yang, Bin Gao, Ya-xiang Yuan. A space-decoupling framework for optimization on bounded-rank matrices with orthogonally invariant constraints. arXiv:2501.13830, (2025).

Code Preprint

Yan Yang, Bin Gao, Ya-xiang Yuan. LancBiO: dynamic Lanczos-aided bilevel optimization via Krylov subspace. The 13th International Conference on Learning Representations (ICLR 2025), (2025), accepted.

Code Preprint

Yan Yang, Bin Gao, Ya-xiang Yuan. Bilevel reinforcement learning via the development of hyper-gradient without lower-level convexity. The 28th International Conference on Artificial Intelligence and Statistics (AISTATS 2025), (2025), accepted.

Preprint

Bin Gao, Renfeng Peng, Ya-xiang Yuan. Low-rank optimization on Tucker tensor varieties. Mathematical Programming, (2024), accepted.

DOI Code Preprint Slides

Pierre Ablin, Simon Vary, Bin Gao, P.-A. Absil. Infeasible deterministic, stochastic, and variance-reduction algorithms for optimization under orthogonality constraints. Journal of Machine Learning Research, 25(389) (2024), 1–38.

DOI Code Preprint Slides

Bin Gao, Renfeng Peng, Ya-xiang Yuan. Desingularization of bounded-rank tensor sets. arXiv:2411.14093, (2024).

Code Preprint

Bin Gao, Nguyen Thanh Son, Tatjana Stykel. Symplectic Stiefel manifold: tractable metrics, second-order geometry and Newton's methods. arXiv:2406.14299, (2024).

Preprint

Simon Vary, Pierre Ablin, Bin Gao, P.-A. Absil. Optimization without retraction on the random generalized Stiefel manifold. Proceedings of the 41st International Conference on Machine Learning (ICML 2024), PMLR 235 (2024), 49226–49248.

DOI Code Preprint Slides

Bin Gao, Renfeng Peng, Ya-xiang Yuan. Riemannian preconditioned algorithms for tensor completion via tensor ring decomposition. Computational Optimization and Applications, 88 (2024), 443–468.

DOI Code Preprint

Bin Gao, Nguyen Thanh Son, Tatjana Stykel. Optimization on the symplectic Stiefel manifold: SR decomposition-based retraction and applications. Linear Algebra and Its Applications, 682 (2024), 50–85.

DOI Code Preprint

Yu Guan, Shuyu Dong, Bin Gao, P.-A. Absil, François Glineur. Alternating minimization algorithms for graph regularized tensor completion. arXiv:2008.12876, (2023).

Code Preprint

Bin Gao, Simon Vary, Pierre Ablin, P.-A. Absil. 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 Slides

Shuyu Dong, Bin Gao, Wen Huang, Kyle A. Gallivan. On the analysis of optimization with fixed-rank matrices: a quotient geometric view. arXiv:2203.06765, (2022).

Preprint

Bin Gao, Guanghui Hu, Yang Kuang, Xin Liu. 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

Shuyu Dong, Bin Gao, Yu Guan, François Glineur. 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

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

DOI Code Preprint

Nguyen Thanh Son, P.-A. Absil, Bin Gao, Tatjana Stykel. 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

Bin Gao, Nguyen Thanh Son, P.-A. Absil, Tatjana Stykel. 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

Bin Gao, Nguyen Thanh Son, P.-A. Absil, Tatjana Stykel. Riemannian optimization on the symplectic Stiefel manifold. SIAM Journal on Optimization, 31-2 (2021), 1546–1575.

DOI Code Preprint

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

DOI Preprint

Bin Gao, Xin Liu, Ya-xiang Yuan. Parallelizable algorithms for optimization problems with orthogonality constraints. SIAM Journal on Scientific Computing, 41-3 (2019), A1949–A1983.

DOI Code Preprint

Bin Gao, Xin Liu, Xiaojun Chen, Ya-xiang Yuan. A new first-order algorithmic framework for optimization problems with orthogonality constraints. SIAM Journal on Optimization, 28-1 (2018), 302–332.

DOI Code Preprint

Bin Gao, Xin Liu, Ya-xiang Yuan. First-order algorithms for optimization problems with orthogonality constraints. OR Transactions (in Chinese), 21-4 (2017), 57–68.

DOI

Bin Gao, Xin Liu, Xiaojun Chen, Ya-xiang Yuan. On the Łojasiewicz exponent of the quadratic sphere constrained optimization problem. arXiv:1611.08781, (2016).

Preprint

Thesis

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

Research

Collaborators & students

Long-term collaborators:

P.-A. Absil, UCLouvain
Xin Liu, AMSS, Chinese Academy of Sciences
Benedikt Wirth, University of Münster
Optimization Group of Ya-xiang Yuan (PhD supervisor), AMSS, Chinese Academy of Sciences

popman group @ AMSS

PhD & students in collaboration
Pengfei Hao	2025.9-	from Beijing Normal University
Xinhui Xiong	2024.9-	from Wuhan University
Yan Yang (collaborator)	2023.8-	from the University of Chinese Academy of Sciences
Renfeng Peng (collaborator)	2022.11-	from Tongji University
Postdocs
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