The phase retrieval task has received considerable attention in recent years. Here, phase
retrieval refers to the problem of recovering the clear image from magnitude-only data of its …

We study the low-rank phase retrieval problem, where the objective is to recover a sequence
of signals (typically images) given the magnitude of linear measurements of those signals …

We consider the problem of sparse phase retrieval from Fourier transform magnitudes to
recover the-sparse signal vector and its support. We exploit extended support estimate with …

The performance of acoustic source localization with array system is limited by impulsive
noise such as electromagnetic interference, car ignitions, bursting, and so on. The impulsive …

We study the question of phase retrieval aided Millimeter wave (mmWave) channel
estimation and propose a sparse phase retrieval-aided mmWave channel estimation …

Phase retrieval seeks to reconstruct a series of image sequences from measurements that
only capture their magnitudes. Current approaches either flatten and stack the image …

In many non-convex optimization-based signal recovery tasks, a good initial point is
essential for the performance of the optimization process. One seeks to start the point from a …

This paper concerns the problem of recovering an unknown but rank-r signal from quadratic
measurements. We formulate the recovery problem as two-stage nonconvex optimization …

Spectroscopic ptychography is a powerful technique to determine the chemical composition
of a sample with high spatial resolution. In spectro-ptychography, a sample is rastered …

In this thesis, we consider optimization problems that involve statistically estimating signals
from tensor data. We observe that modelling the signals as tensors using tensor …