Finding stationary points on bounded-rank matrices: a geometric hurdle and a smooth remedy
Author:
Publisher
Springer Science and Business Media LLC
Subject
General Mathematics,Software
Link
https://link.springer.com/content/pdf/10.1007/s10107-022-01851-2.pdf
Reference49 articles.
1. Absil, P.-A., Baker, C.G., Gallivan, K.A.: Trust-region methods on Riemannian manifolds. Found. Comput. Math. 7(3), 303–330 (2007)
2. Absil, P.-A., Mahony, R., Sepulchre, R.: Optimization Algorithms on Matrix Manifolds. Princeton University Press, Princeton, NJ (2008)
3. Agarwal, N., Boumal, N., Bullins, B., Cartis, C.: Adaptive regularization with cubics on manifolds. Math. Program. 188(1), 85–134 (2021)
4. Barber, R.F., Ha, W.: Gradient descent with non-convex constraints: local concavity determines convergence. Information and Inference: A Journal of the IMA 7(4), 755–806 (2018)
5. Bauschke, H.H., Combettes, P.L.: Convex Analysis and Monotone Operator Theory in Hilbert Spaces, vol. 408. Springer, Berlin (2011)
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