Closed-form geodesics and optimization for Riemannian logarithms of Stiefel and flag manifolds D Nguyen Journal of Optimization Theory and Applications 194 (1), 142-166, 2022 | 9 | 2022 |
Curvatures of Stiefel Manifolds with Deformation Metrics D Nguyen Journal of Lie Theory 32 (2), 563--600, 2022 | 7 | 2022 |
Operator-valued formulas for Riemannian gradient and Hessian and families of tractable metrics in optimization and machine learning D Nguyen arXiv preprint arXiv:2009.10159, 2020 | 5 | 2020 |
Operator-valued formulas for Riemannian gradient and Hessian and families of tractable metrics in Riemannian optimization D Nguyen Journal of Optimization Theory and Applications 198 (1), 135-164, 2023 | 3 | 2023 |
Geometry in global coordinates in mechanics and optimal transport D Nguyen arXiv preprint arXiv:2307.10017, 2023 | 2 | 2023 |
Rayleigh Quotient Iteration, cubic convergence, and second covariant derivative D Nguyen arXiv preprint: arXiv:1908.00639 https://arxiv.org/abs/1908.00639, 2023 | 1* | 2023 |
Parallel transport on matrix manifolds and Exponential Action D Nguyen, S Sommer https://arxiv.org/abs/2408.06054, 2024 | | 2024 |
Second-order differential operators, stochastic differential equations and Brownian motions on embedded manifolds D Nguyen, S Sommer arXiv preprint arXiv:2406.02879, 2024 | | 2024 |
Families of costs with zero and nonnegative MTW tensor in optimal transport D Nguyen arXiv preprint arXiv:2401.00953, 2024 | | 2024 |
Riemannian Geometry with differentiable ambient space and metric operator D Nguyen arXiv preprint arXiv:2105.01583, 2021 | | 2021 |
Riemannian gradient and Levi-Civita connection for fixed-rank matrices D Nguyen arXiv preprint arXiv:2009.11240, 2020 | | 2020 |
Operator-valued formulas for Riemannian Gradient and Hessian and families of tractable metrics D Nguyen arXiv preprint arXiv:2009.10159, 2020 | | 2020 |
A theorem of Kalman and minimal state-space realization of Vector Autoregressive Models D Nguyen arXiv preprint arXiv:1910.02546, 2019 | | 2019 |
Vector Autoregressive Moving Average Model with Scalar Moving Average D Nguyen arXiv preprint arXiv:1909.00386, 2019 | | 2019 |
Geometry in Global Coordinates with Applications in Mechanics and Optimal Transport D Nguyen Available at SSRN 4572544, 0 | | |