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Research map / Learning theory and algorithms / Matrix and tensor methods

Blind Deconvolutional Phase Retrieval via Convex Programming

NeurIPS 2018 · Learning theory and algorithms › Matrix and tensor methods · approach: Signal recovery and phase retrieval · 4 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use known standard Gaussian subspaces for both signalsProposed convex program · Phaseless Fourier measurements of circular convolutionsample complexity for exact recovery: m \geq c_t (k+n)\log^2 mHelped
Use deterministic subspaces such as partial DCT or partial wavelets instead of random subspacesProposed convex relaxation · Blind deconvolutional phase retrieval with deterministic subspacesrecovery effectivenessHurt
Use an identity-column subspace for one signal and a Gaussian subspace for the otherProposed convex framework · Phaseless Fourier measurements of circular convolutionrecovery successNo clear effect

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