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 …

Macromolecules change their shape (conformation) in the process of carrying out their
functions. The imaging by cryo-electron microscopy of rapidly-frozen, individual copies of …

We present CryoGAN, a new paradigm for single-particle cryo-electron microscopy (cryo-
EM) reconstruction based on unsupervised deep adversarial learning. In single-particle cryo …

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 …

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 …

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 …

We derive an asymptotic expansion for the log‐likelihood of Gaussian mixture models
(GMMs) with equal covariance matrices in the low signal‐to‐noise regime. The expansion …

The power spectrum of proteins at high frequencies is remarkably well described by the flat
Wilson statistics. Wilson statistics therefore plays a significant role in X-ray crystallography …

Motivated by the task of 2D classification in single particle reconstruction by cryo-electron
microscopy (cryo-EM), we consider the problem of heterogeneous multireference alignment …

The problem of recovering a pair of signals from their blind phaseless short-time Fourier
transform measurements arises in several important phase retrieval applications, including …