Experience

 
 
 
 
 

Postdoc

University of Münster

Sep 2021 – Present Münster, Germany
Host: Benedikt Wirth
 
 
 
 
 

Postdoc

UCLouvain

Sep 2019 – Aug 2021 Louvain-la-Neuve, Belgium
Host: P.-A. Absil

Publications

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Refereed papers & preprints

Optimization flows landing on the Stiefel manifold. 25th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2022), (2022), accepted.

Preprint

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

Preprint

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.

DOI

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

Long-term collaborators & groups

Selected presentations

Academic visits

Duration Place Host
2019.07.20-08.18 University of 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

Software

*
All Orthogonality constraints Symplectic Stiefel manifold Low rank

A Riemannian Rank-Adaptive Method for low-rank matrix completion
MATLAB Code Reference

Symplectic eigenvalue problem via trace minimization and Riemannian optimization
MATLAB Code Reference

Riemannian optimization on the symplectic Stiefel manifold
MATLAB Code Reference

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

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

Contact

  • bin.gao (a..t) uni-muenster.de; gaobin (a..t) lsec.cc.ac.cn
  • (+49) 251 83-35073
  • Orléans-Ring 10 - office 130.023, 48149 Münster, Germany