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06/11/2023
Detection and Recovery of Hidden Submatrices
In this paper, we study the problems of detection and recovery of hidden...
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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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09/21/2022
Autocorrelation analysis for cryo-EM with sparsity constraints: Improved sample complexity and projection-based algorithms
The number of noisy images required for molecular reconstruction in sing...
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07/19/2022
Unrolled algorithms for group synchronization
The group synchronization problem involves estimating a collection of gr...
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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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02/15/2022
On the Role of Channel Capacity in Learning Gaussian Mixture Models
This paper studies the sample complexity of learning the k unknown cente...
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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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09/23/2021
Sparse multi-reference alignment: sample complexity and computational hardness
Motivated by the problem of determining the atomic structure of macromol...
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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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05/16/2021
An accelerated expectation-maximization for multi-reference alignment
The multi-reference alignment (MRA) problem entails estimating an image ...
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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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01/19/2021
Multi-target detection with rotations
We consider the multi-target detection problem of estimating a two-dimen...
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07/22/2020
Multi-reference alignment in high dimensions: sample complexity and phase transition
Multi-reference alignment entails estimating a signal in ℝ^L from its ci...
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06/27/2020
Super-resolution multi-reference alignment
We study super-resolution multi-reference alignment, the problem of esti...
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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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11/29/2019
A note on Douglas-Rachford, subgradients, and phase retrieval
The properties of gradient techniques for the phase retrieval problem ha...
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10/22/2019
Unsupervised particle sorting for high-resolution single-particle cryo-EM
Single-particle cryo-Electron Microscopy (EM) has become a popular techn...
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10/22/2019
Image recovery from rotational and translational invariants
We introduce a framework for recovering an image from its rotationally a...
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08/01/2019
Single-particle cryo-electron microscopy: Mathematical theory, computational challenges, and opportunities
In recent years, an abundance of new molecular structures have been eluc...
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05/08/2019
Multi-target Detection with an Arbitrary Spacing Distribution
Motivated by the structure reconstruction problem in cryo-electron micro...
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03/12/2019
Multi-target detection with application to cryo-electron microscopy
We consider the multi-target detection problem of recovering a set of si...
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09/29/2018
Toward single particle reconstruction without particle picking: Breaking the detection limit
Single-particle cryo-electron microscopy (cryo-EM) has recently joined X...
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08/22/2018
Blind Phaseless Short-Time Fourier Transform Recovery
The problem of recovering a pair of signals from their blind phaseless s...
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05/24/2018
Stable Super-Resolution of Images
We study the ubiquitous problem of super-resolution in which one aims at...
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10/23/2017
3D ab initio modeling in cryo-EM by autocorrelation analysis
Single-Particle Reconstruction (SPR) in Cryo-Electron Microscopy (cryo-E...
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12/12/2014