We propose a tensor-based criterion for benign landscape in phase retrieval and establish boundedness of gradient trajectories. This implies that gradient descent will converge to a global minimum for almost every initial point.
@article{arxiv.2410.09990,
title = {Global convergence of gradient descent for phase retrieval},
author = {Théodore Fougereux and Cédric Josz and Xiaopeng Li},
journal= {arXiv preprint arXiv:2410.09990},
year = {2024}
}