4 citations · 19 across the 12 of their papers we have counts for
14 papers
The Gauss--Newton Method for Phase Retrieval from Coded Diffraction Patterns
Meng Huang, Tianjiao Wang
We study the minimum-norm Gauss--Newton method for phase retrieval from random coded diffraction patterns with additive intensity noise. For bounded symmetric masks satisfying the…
Phase Retrieval in Requires Exactly Eleven Measurements
Meng Huang, Jihun Kim
Determining the minimal number of intensity measurements required for phase retrieval in has been a long-standing open problem. Prior to this work, the best-known re…
Affine phase retrieval for sparse signals via minimization
Meng Huang, Shixiang Sun, Zhiqiang Xu
Affine phase retrieval is the problem of recovering signals from the magnitude-only measurements with a priori information. In this paper, we use the minimization to explo…
No existence of linear algorithm for Fourier phase retrieval
Meng Huang, Zhiqiang Xu
Fourier phase retrieval, which seeks to reconstruct a signal from its Fourier magnitude, is of fundamental importance in fields of engineering and science. In this paper, we give a…
Strong convexity of affine phase retrieval
Meng Huang, Zhiqiang Xu
The recovery of a signal from the intensity measurements with some entries being known in advance is termed as {\em affine phase retrieval}. In this paper, we prove that a natural…
Uniqueness and stability for the solution of a nonlinear least squares problem
Meng Huang, Zhiqiang Xu
In this paper, we focus on the nonlinear least squares: $\mbox{min}_{\mathbf{x} \in \mathbb{H}^d}\| |A\mathbf{x}|-\mathbf{b}\|$ where , $\mathbf{b} \in…
Solving phase retrieval with random initial guess is nearly as good as by spectral initialization
Jianfeng Cai, Meng Huang, Dong Li +1
The problem of recovering a signal from a set of magnitude measurements is referred…
Performance bound of the intensity-based model for noisy phase retrieval
Meng Huang, Zhiqiang Xu
The aim of noisy phase retrieval is to estimate a signal from noisy intensity measurements $b_j=\left\lvert \langle \mathbf{a}_j,\mathbf{x}_0 \ra…
Almost Everywhere Generalized Phase Retrieval
Meng Huang, Yi Rong, Yang Wang +1
The aim of generalized phase retrieval is to recover from the quadratic measurements , wher…
The estimation performance of nonlinear least squares for phase retrieval
Meng Huang, Zhiqiang Xu
Suppose that where is the target signal and is a noise vector. The aim of phase retrie…
On DC based Methods for Phase Retrieval
Meng Huang, Ming-Jun Lai, Abraham Varghese +1
In this paper, we develop a new computational approach which is based on minimizing the difference of two convex functionals (DC) to solve a broader class of phase retrieval proble…
Improved bounds for the RIP of Subsampled Circulant matrices
Meng Huang, Yuxuan Pang, Zhiqiang Xu
In this paper, we study the restricted isometry property of partial random circulant matrices. For a bounded subgaussian generator with independent entries, we prove that the parti…
Solving Systems of Quadratic Equations via Exponential-type Gradient Descent Algorithm
Meng Huang, Zhiqiang Xu
We consider the rank minimization problem from quadratic measurements, i.e., recovering a rank matrix from scalar measurements $y_i=a_i^{\to…
Phase retrieval from the norms of affine transformations
Meng Huang, Zhiqiang Xu
In this paper, we consider the generalized phase retrieval from affine measurements. This problem aims to recover signals from the affine measuremen…