A New First-Order Algorithmic Framework for Optimization Problems with Orthogonality Constraints. - Bin Gao 007; Xin Liu 001; Xiaojun Chen 001; Ya-Xiang Yuan (SIAM J. Optim., 2018)

Parallelizable Algorithms for Optimization Problems with Orthogonality Constraints. - Bin Gao 007; Xin Liu 001; Ya-Xiang Yuan (SIAM J. Sci. Comput., 2019)

Geometry of the Symplectic Stiefel Manifold Endowed with the Euclidean Metric. - Bin Gao 007; Nguyen Thanh Son; Pierre-Antoine Absil; Tatjana Stykel (GSI, 2021)

Riemannian Optimization on the Symplectic Stiefel Manifold. - Bin Gao 007; Nguyen Thanh Son; Pierre-Antoine Absil; Tatjana Stykel (SIAM J. Optim., 2021)

Computing Symplectic Eigenpairs of Symmetric Positive-Definite Matrices via Trace Minimization and Riemannian Optimization. - Nguyen Thanh Son; Pierre-Antoine Absil; Bin Gao 007; Tatjana Stykel (SIAM J. Matrix Anal. Appl., 2021)

A Riemannian rank-adaptive method for low-rank matrix completion. - Bin Gao 007; Pierre-Antoine Absil (Comput. Optim. Appl., 2022)

On the analysis of optimization with fixed-rank matrices: a quotient geometric view. - Shuyu Dong; Bin Gao 007; Wen Huang 001; Kyle A. Gallivan (CoRR, 2022)

Optimization on the symplectic Stiefel manifold: SR decomposition-based retraction and applications. - Bin Gao 007; Nguyen Thanh Son; Tatjana Stykel (CoRR, 2022)

New Riemannian Preconditioned Algorithms for Tensor Completion via Polyadic Decomposition. - Shuyu Dong; Bin Gao 007; Yu Guan; François Glineur (SIAM J. Matrix Anal. Appl., 2022)

An Orthogonalization-Free Parallelizable Framework for All-Electron Calculations in Density Functional Theory. - Bin Gao 007; Guanghui Hu; Yang Kuang; Xin Liu 001 (SIAM J. Sci. Comput., 2022)

Infeasible Deterministic, Stochastic, and Variance-Reduction Algorithms for Optimization under Orthogonality Constraints. - Pierre Ablin; Simon Vary; Bin Gao 007; Pierre-Antoine Absil (CoRR, 2023)

Optimization on product manifolds under a preconditioned metric. - Bin Gao 007; Renfeng Peng; Ya-Xiang Yuan (CoRR, 2023)

Low-rank optimization on Tucker tensor varieties. - Bin Gao 007; Renfeng Peng; Ya-Xiang Yuan (CoRR, 2023)

Optimization without Retraction on the Random Generalized Stiefel Manifold. - Simon Vary; Pierre Ablin; Bin Gao 007; Pierre-Antoine Absil (ICML, 2024)

Symplectic Stiefel manifold: tractable metrics, second-order geometry and Newton's methods. - Bin Gao 007; Nguyen Thanh Son; Tatjana Stykel (CoRR, 2024)

Desingularization of bounded-rank tensor sets. - Bin Gao 007; Renfeng Peng; Yaxiang Yuan (CoRR, 2024)

Riemannian preconditioned algorithms for tensor completion via tensor ring decomposition. - Bin Gao 007; Renfeng Peng; Yaxiang Yuan (Comput. Optim. Appl., 2024)

First-order methods on bounded-rank tensors converging to stationary points. - Bin Gao 007; Renfeng Peng; Yaxiang Yuan (CoRR, 2025)