Feb 22, 2016 · In this paper, we take a step towards bridging this gap. ... This structure allows a number of iterative optimization methods to efficiently find ...
Aug 14, 2017 · In this work, we provide a complete geometric characterization of the nonconvex formulation (1.1) for the GPR problem. The benign geometric ...
In this paper, we take a step towards bridging this gap. ... Such structure allows a number of algorithmic possibilities for efficient global optimization. We ...
Abstract—Given measurements of the form yk = |〈ak, x〉| for k = 1,...,m, is it possible to recover x ∈ Cn? This is the generalized phase retrieval (GPR) ...
Feb 29, 2016 · complex vector)? This generalized phase retrieval (GPR) problem is a fundamental task in various disciplines, and has been the subject of ...
It is proved that when the measurement vectors are generic, with high probability, a natural least-squares formulation for GPR has the following benign ...
Apr 8, 2018 · PDF | Can we recover a complex signal from its Fourier magnitudes? More generally, given a set of $m$ measurements, $y_k = |\mathbf a_k^* ...
Generalized phase retrieval (GPR) concerns the recovery ... Gaussian measurements, preliminary study shows the geometry ... Wright, “A geometric analysis of phase ...
1) [Strong gradient] ∥gradf(x)∥ ≥ β;. 2) [Negative curvature] There exists v ∈ TxM with ∥v∥ = 1 such that ⟨Hessf(x)[v],v⟩≤−α;.
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Oct 1, 2018 · This structure allows a number of iterative optimization methods to efficiently find a global minimizer, without special initialization. To ...