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 …

Single-particle electron cryomicroscopy (cryo-EM) is an increasingly popular technique for
elucidating the three-dimensional (3D) structure of proteins and other biologically significant …

We study a class of orbit recovery problems in which we observe independent copies of an
unknown element of R p, each linearly acted upon by a random element of some group …

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 …

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 …

Single-particle reconstruction in cryo-electron microscopy (cryo-EM) is an increasingly
popular technique for determining the 3D structure of a molecule from several noisy 2D …

Single-particle cryo-electron microscopy (cryo-EM) has recently joined X-ray crystallography
and NMR spectroscopy as a high-resolution structural method for biological …

In this paper, we establish optimal rates of adaptive estimation of a vector in the multi-
reference alignment model, a problem with important applications in fields such as signal …

The supplement [46] includes a few more examples and all the technical proofs. We first
analyze approximate ranking in Appendix A. Z/k Z synchronization and permutation …

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 …