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07/13/2023
The generic crystallographic phase retrieval problem
In this paper we consider the problem of recovering a signal x ∈ℝ^N from...
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05/31/2023
Orbit recovery for band-limited functions
We study the third moment for functions on arbitrary compact Lie groups....
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01/25/2023
Finite alphabet phase retrieval
We consider the finite alphabet phase retrieval problem: recovering a si...
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10/27/2022
The sample complexity of sparse multi-reference alignment and single-particle cryo-electron microscopy
Multi-reference alignment (MRA) is the problem of recovering a signal fr...
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03/05/2022
Algebraic theory of phase retrieval
The purpose of this article is to discuss recent advances in the growing...
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12/06/2021
Near-optimal bounds for signal recovery from blind phaseless periodic short-time Fourier transform
We study the problem of recovering a signal x∈ℂ^N from samples of its ph...
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07/12/2021
Dihedral multi-reference alignment
We study the dihedral multi-reference alignment problem of estimating th...
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03/02/2021
Signal recovery from a few linear measurements of its high-order spectra
The q-th order spectrum is a polynomial of degree q in the entries of a ...
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02/24/2020
Toward a mathematical theory of the crystallographic phase retrieval problem
Motivated by the X-ray crystallography technology to determine the atomi...
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08/22/2018