During recent decades innovative nanomaterials have been extensively studied, aiming at
both investigating the structure-property relationship and discovering new properties, in …

Simple Summary Proteins are large biomolecules carrying out several different
indispensable activities in all living organisms. As their chemical composition and structure …

Phase recovery from intensity-only measurements forms the heart of coherent imaging
techniques and holography. In this study, we demonstrate that a neural network can learn to …

We study the problem of recovering the phase from magnitude measurements; specifically,
we wish to reconstruct a complex-valued signal about which we have phaseless samples of …

This paper presents a new algorithm, termed truncated amplitude flow (TAF), to recover an
unknown vector x from a system of quadratic equations of the form yi=|< ai, x>| 2, where ai's …

This paper develops a novel framework for phase retrieval, a problem which arises in X-ray
crystallography, diffraction imaging, astronomical imaging, and many other applications. Our …

We consider the recovery of a (real-or complex-valued) signal from magnitude-only
measurements, known as phase retrieval. We formulate phase retrieval as a convex …

Phase retrieval seeks to recover a signal x ∈ C^ px∈ C p from the amplitude| A x|| A x| of
linear measurements Ax ∈ C^ n A x∈ C n. We cast the phase retrieval problem as a non …

We introduce a novel deep-learning inspired formulation of the\textit {phase retrieval
problem}, which asks to recover a signal $ y_0\in\R^ n $ from $ m $ quadratic observations …

This paper considers the question of recovering the phase of an object from intensity-only
measurements, a problem which naturally appears in X-ray crystallography and related …