Tensors or multiway arrays are functions of three or more indices (i, j, k,...)-similar to matrices
(two-way arrays), which are functions of two indices (r, c) for (row, column). Tensors have a …

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 …

Nonconvex quadratically constrained quadratic programming (QCQP) problems have
numerous applications in signal processing, machine learning, and wireless …

We introduce the Suggest-and-Improve framework for general nonconvex quadratically
constrained quadratic programs (QCQPs). Using this framework, we generalize a number of …

This paper develops a novel algorithm, termed SPARse Truncated Amplitude flow
(SPARTA), to reconstruct a sparse signal from a small number of magnitude-only …

This paper considers unimodular sequence synthesis under similarity constraint for both the
continuous and discrete phase cases. A computationally efficient iterative algorithm for the …

This paper considers phase retrieval from the magnitude of one-dimensional over-sampled
Fourier measurements, a classical problem that has challenged researchers in various fields …

We derive a phase retrieval algorithm using the alternating direction method of multipliers.
For the cost function obtained from the maximum likelihood criterion, we introduce auxiliary …

This paper puts forth a novel algorithm, termed\emph {truncated generalized gradient
flow}(TGGF), to solve for $\bm {x}\in\mathbb {R}^ n/\mathbb {C}^ n $ a system of $ m …

A novel approach termed stochastic truncated amplitude flow (STAF) is developed to
reconstruct an unknown n-dimensional real-/complex-valued signal x from m “phaseless” …