Phase retrieval deals with the estimation of complex-valued signals solely from the
magnitudes of linear measurements. While there has been a recent explosion in the …

We consider a popular nonsmooth formulation of the real phase retrieval problem. We show
that under standard statistical assumptions a simple subgradient method converges linearly …

This paper deals with finding an n-dimensional solution x to a system of quadratic equations
of the form yi=|< ai, x>| 2 for 1≤ i≤ m, which is also known as the generalized phase …

We consider the problem of estimating a signal from measurements obtained via a
generalized linear model. We focus on estimators based on approximate message passing …

Imaging through multimode fiber (MMF) provides high-resolution imaging through a fiber
with cross section down to tens of micrometers. It requires interferometry to measure the full …

We study a spectral initialization method that serves a key role in recent work on estimating
signals in non-convex settings. Previous analysis of this method focuses on the phase …

Computer-generated holographic (CGH) displays show great potential and are emerging as
the next-generation displays for augmented and virtual reality, and automotive heads-up …

Holographic displays promise to deliver unprecedented display capabilities in augmented
reality applications, featuring a wide field of view, wide color gamut, spatial resolution, and …

We consider an ℓ 2-regularized non-convex optimization problem for recovering signals
from their noisy phaseless observations. We design and study the performance of a …

A transmission matrix describes the input-output relationship of a complex wavefront as it
passes through/reflects off a multiple-scattering medium, such as frosted glass or a painted …