Single-particle cryo-electron microscopy: Mathematical theory, computational challenges, and opportunities
T Bendory, A Bartesaghi… - IEEE signal processing …, 2020 - ieeexplore.ieee.org
In recent years, an abundance of new molecular structures have been elucidated using cryo-
electron microscopy (cryo-EM), largely due to advances in hardware technology and data …
electron microscopy (cryo-EM), largely due to advances in hardware technology and data …
Computational methods for single-particle electron cryomicroscopy
A Singer, FJ Sigworth - Annual review of biomedical data …, 2020 - annualreviews.org
Single-particle electron cryomicroscopy (cryo-EM) is an increasingly popular technique for
elucidating the three-dimensional (3D) structure of proteins and other biologically significant …
elucidating the three-dimensional (3D) structure of proteins and other biologically significant …
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 single-particle
cryoelectron microscopy (cryo-EM) is governed by the autocorrelations of the observed …
cryoelectron microscopy (cryo-EM) is governed by the autocorrelations of the observed …
Mathematics for cryo-electron microscopy
A Singer - Proceedings of the International Congress of …, 2018 - World Scientific
Single-particle cryo-electron microscopy (cryo-EM) has recently joined X-ray crystallography
and NMR spectroscopy as a high-resolution structural method for biological …
and NMR spectroscopy as a high-resolution structural method for biological …
Multireference alignment is easier with an aperiodic translation distribution
In the multireference alignment model, a signal is observed by the action of a random
circular translation and the addition of Gaussian noise. The goal is to recover the signal's …
circular translation and the addition of Gaussian noise. The goal is to recover the signal's …
The Sample Complexity of Sparse Multireference Alignment and Single-Particle Cryo-Electron Microscopy
Multireference alignment (MRA) is the problem of recovering a signal from its multiple noisy
copies, each acted upon by a random group element. MRA is mainly motivated by single …
copies, each acted upon by a random group element. MRA is mainly motivated by single …
Dihedral multi-reference alignment
We study the dihedral multi-reference alignment problem of estimating the orbit of a signal
from multiple noisy observations of the signal, acted on by random elements of the dihedral …
from multiple noisy observations of the signal, acted on by random elements of the dihedral …
Sparse multi-reference alignment: Sample complexity and computational hardness
Motivated by the problem of determining the atomic structure of macromolecules using
single-particle cryo-electron microscopy (cryo-EM), we study the sample and computational …
single-particle cryo-electron microscopy (cryo-EM), we study the sample and computational …
The beltway problem over orthogonal groups
The classical beltway problem entails recovering a set of points from their unordered
pairwise distances on the circle. This problem can be viewed as a special case of the …
pairwise distances on the circle. This problem can be viewed as a special case of the …
Toward single particle reconstruction without particle picking: Breaking the detection limit
Single-particle cryo-electron microscopy (cryo-EM) has recently joined X-ray crystallography
and NMR spectroscopy as a high-resolution structural method to resolve biological …
and NMR spectroscopy as a high-resolution structural method to resolve biological …