Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	Dr. Bing Gao，Hong Kong University of Science and Technology
Inviter:	许志强研究员
Title:	Smotth quadratic model for phase retrieval
Time & Venue:	2018.12.27 9:30-10:30 N702
Abstract:	In this talk, we introduce a new smooth quadratic model for solving phase retrieval problem, which considers recovering a signal/an image from the magnitude of linear measurements. Starting from a carefully chosen initial point, we claim that the vanilla gradient descent algorithm can achieve linear convergence under the optimal order of measurements in theory, i.e., the same order of the signal dimension. Moreover, our results can be extended to complex number feild. The utility and benefit of the proposed method can be validated by both the simulated and real-world experiments.