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09/19/2022
Affine phase retrieval for sparse signals via ℓ_1 minimization
Affine phase retrieval is the problem of recovering signals from the mag...
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09/13/2022
No existence of linear algorithm for Fourier phase retrieval
Fourier phase retrieval, which seeks to reconstruct a signal from its Fo...
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04/20/2022
Nearly optimal bounds for the global geometric landscape of phase retrieval
The phase retrieval problem is concerned with recovering an unknown sign...
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04/20/2022
Strong convexity of affine phase retrieval
The recovery of a signal from the intensity measurements with some entri...
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12/15/2021
The global landscape of phase retrieval II: quotient intensity models
A fundamental problem in phase retrieval is to reconstruct an unknown si...
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12/15/2021
The global landscape of phase retrieval I: perturbed amplitude models
A fundamental task in phase retrieval is to recover an unknown signal ∈ ...
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09/24/2021
Linear convergence of randomized Kaczmarz method for solving complex-valued phaseless equations
A randomized Kaczmarz method was recently proposed for phase retrieval, ...
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09/12/2021
"Let Your Characters Tell Their Story": A Dataset for Character-Centric Narrative Understanding
When reading a literary piece, readers often make inferences about vario...
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04/22/2021
Uniqueness and stability for the solution of a nonlinear least squares problem
In this paper, we focus on the nonlinear least squares: _𝐱∈ℍ^d |A𝐱|-𝐛 wh...
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01/10/2021
Solving phase retrieval with random initial guess is nearly as good as by spectral initialization
The problem of recovering a signal 𝐱∈ℝ^n from a set of magnitude measure...
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06/08/2020
Precoder Design and Power Allocation for Downlink MIMO-NOMA via Simultaneous Triangularization
In this paper, we consider the downlink precoder design for two-user pow...
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04/19/2020
Performance bound of the intensity-based model for noisy phase retrieval
The aim of noisy phase retrieval is to estimate a signal x_0∈C^d from m ...
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09/19/2019
Almost Everywhere Generalized Phase Retrieval
The aim of generalized phase retrieval is to recover x∈F^d from the quad...
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04/22/2019
The estimation performance of nonlinear least squares for phase retrieval
Suppose that y= Ax_0+η where x_0∈R^d is the target signal and η∈R^m is a...
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10/22/2018
On DC based Methods for Phase Retrieval
In this paper, we develop a new computational approach which is based on...
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08/22/2018
Improved bounds for the RIP of Subsampled Circulant matrices
In this paper, we study the restricted isometry property of partial rand...
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06/04/2018
Solving Systems of Quadratic Equations via Exponential-type Gradient Descent Algorithm
We consider the rank minimization problem from quadratic measurements, i...
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05/21/2018
Phase retrieval from the norms of affine transformations
In this paper, we consider the generalized phase retrieval from affine m...
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05/21/2018