Publications | Bin Gao

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).

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Bin Gao, Simon Vary, Pierre Ablin, P.-A. Absil. Optimization flows landing on the Stiefel manifold. arXiv:2202.09058, (2022).

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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, (2022), accepted.

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

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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, (2021), accepted.

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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.

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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.

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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.

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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.

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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.

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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.

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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.

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

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