Gradient descent with random initialization: fast global convergence for nonconvex phase retrieval

Author:

Chen Yuxin,Chi Yuejie,Fan Jianqing,Ma CongORCID

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics,Software

Reference74 articles.

1. Agarwal, N., Allen-Zhu, Z., Bullins, B., Hazan, E., Ma, T.: Finding approximate local minima for nonconvex optimization in linear time (2016). arXiv preprint arXiv:1611.01146

2. Abbe, E., Fan, J., Wang, K., Zhong, Y.: Entrywise eigenvector analysis of random matrices with low expected rank (2017). arXiv preprint arXiv:1709.09565

3. Allen-Zhu, Z.: Natasha 2: faster non-convex optimization than SGD (2017). arXiv preprint arXiv:1708.08694

4. Bandeira, A.S., Cahill, J., Mixon, D.G., Nelson, A.A.: Saving phase: injectivity and stability for phase retrieval. Appl. Comput. Harmonic Anal. 37(1), 106–125 (2014)

5. Bendory, T., Eldar, Y.C., Boumal, N.: Non-convex phase retrieval from STFT measurements. IEEE Trans. Inf. Theory 64(1), 467–484 (2018)

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