Bispectrum inversion with application to multireference alignment
We consider the problem of estimating a signal from noisy circularly translated versions of
itself, called multireference alignment (MRA). One natural approach to MRA could be to …
itself, called multireference alignment (MRA). One natural approach to MRA could be to …
The sample complexity of multireference alignment
The growing role of data-driven approaches to scientific discovery has unveiled a large
class of models that involve latent transformations with a rigid algebraic constraint. Three …
class of models that involve latent transformations with a rigid algebraic constraint. Three …
Rotationally invariant image representation for viewing direction classification in cryo-EM
We introduce a new rotationally invariant viewing angle classification method for identifying,
among a large number of cryo-EM projection images, similar views without prior knowledge …
among a large number of cryo-EM projection images, similar views without prior knowledge …
Denoising and covariance estimation of single particle cryo-EM images
The problem of image restoration in cryo-EM entails correcting for the effects of the Contrast
Transfer Function (CTF) and noise. Popular methods for image restoration include 'phase …
Transfer Function (CTF) and noise. Popular methods for image restoration include 'phase …
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 …
Heterogeneous multireference alignment: A single pass approach
Multireference alignment (MRA) is the problem of estimating a signal from many noisy and
cyclically shifted copies of itself. In this paper, we consider an extension called …
cyclically shifted copies of itself. In this paper, we consider an extension called …
Estimation in the group action channel
We analyze the problem of estimating a signal from multiple measurements on a group
action channel that linearly transforms a signal by a random group action followed by a fixed …
action channel that linearly transforms a signal by a random group action followed by a fixed …
Sparse multi-reference alignment: Phase retrieval, uniform uncertainty principles and the beltway problem
S Ghosh, P Rigollet - Foundations of Computational Mathematics, 2023 - Springer
Motivated by cutting-edge applications like cryo-electron microscopy (cryo-EM), the Multi-
Reference Alignment (MRA) model entails the learning of an unknown signal from repeated …
Reference Alignment (MRA) model entails the learning of an unknown signal from repeated …
Power Spectrum Unbiasing for Dilation-Invariant Multi-reference Alignment
This article discusses a generalization of the 1-dimensional multi-reference alignment
problem. The goal is to recover a hidden signal from many noisy observations, where each …
problem. The goal is to recover a hidden signal from many noisy observations, where each …
Minimax-optimal estimation for sparse multi-reference alignment with collision-free signals
S Ghosh, SS Mukherjee, JB Pan - arXiv preprint arXiv:2312.07839, 2023 - arxiv.org
The Multi-Reference Alignment (MRA) problem aims at the recovery of an unknown signal
from repeated observations under the latent action of a group of cyclic isometries, in the …
from repeated observations under the latent action of a group of cyclic isometries, in the …