67 citations · 140 across the 10 of their papers we have counts for
10 papers
The Fusion Frame Phase Retrieval
Haixia Liu, Bing Gao, Yang Wang
The phase retrieval problem involves reconstructing a function or signal solely from the magnitude of linear measurements. Most theoretical analyses of phase retrieval algorithms r…
Affine Phase Retrieval via Second-Order Methods
Bing Gao
In this paper, we study the affine phase retrieval problem, which aims to recover signals from the magnitudes of affine measurements. We develop second-order optimization methods b…
On fair entropy of the tent family
Bing Gao, Rui Gao
The notions of fair measure and fair entropy were introduced by Misiurewicz and Rodrigues recently, and discussed in detail for piecewise monotone interval maps. In particular, the…
Phase retrieval for sub-Gaussian measurements
Bing Gao, Haixia Liu, Yang Wang
Generally, phase retrieval problem can be viewed as the reconstruction of a function/signal from only the magnitude of the linear measurements. These measurements can be, for examp…
Perturbed Amplitude Flow for Phase Retrieval
Bing Gao, Xinwei Sun, Yang Wang +1
In this paper, we propose a new non-convex algorithm for solving the phase retrieval problem, i.e., the reconstruction of a signal $ \vx\in\H^n $ ( or $\C$) from phaseless s…
Phase Retrieval From the Magnitudes of Affine Linear Measurements
Bing Gao, Qiyu Sun, Yang Wang +1
In this paper, we consider the phase retrieval problem in which one aims to recover a signal from the magnitudes of affine measurements. Let $\{{\mathbf a}_j\}_{j=1}^m \subset {\ma…
The -analysis with redundant dictionary in phase retrieval
Bing Gao
This article presents new results concerning the recovery of a signal from magnitude only measurements where the signal is not sparse in an orthonormal basis but in a redundant dic…
Phaseless Rcovery using Gauss-Newton Method
Bing Gao, Zhiqiang Xu
In this paper, we develop a concrete algorithm for phase retrieval, which we refer to as Gauss-Newton algorithm. In short, this algorithm starts with a good initial estimation, whi…
Stable Signal Recovery from Phaseless Measurements
Bing Gao, Yang Wang, Zhiqiang Xu
The aim of this paper is to study the stability of the minimization for the compressive phase retrieval and to extend the instance-optimality in compressed sensing to the…
Summability implies Collet-Eckmann almost surely
Bing Gao, Weixiao Shen
We provide a strengthened version of the famous Jakobson's theorem. Consider an interval map satisfying a summability condition. For a generic one-parameter family of map…