13 papers
Orbit recovery for spherical functions
Tamir Bendory, Dan Edidin, Josh Katz +1
Orbit recovery is a central problem in both mathematics and applied sciences, with important applications to structural biology. This paper focuses on recovering generic orbits of…
Group-invariant moments under tomographic projections
Amnon Balanov, Tamir Bendory, Dan Edidin
Let be an unknown object, and suppose the observations are tomographic projections of randomly rotated copies of of the form , wh…
The generalized method of moments is (almost) statistically efficient in low-SNR Gaussian latent-variable models
Amnon Balanov, Tamir Bendory, Dan Edidin
We study estimation in the low signal-to-noise ratio (SNR) regime for a broad class of Gaussian latent-variable models, including Gaussian mixtures and orbit recovery problems. We…
Projected multi-reference alignment
Amnon Balanov, Josh Katz, Tamir Bendory +1
Motivated by structural biology applications, we study the projected multi-reference alignment (MRA) model, in which an unknown signal is observed through noisy samples, each gener…
The generic crystallographic phase retrieval problem
Dan Edidin, Arun Suresh
In this paper we consider the problem of recovering a signal from its power spectrum assuming that the signal is sparse with respect to a generic basis for $\m…
Euclidean distance geometry and the orthogonal beltway problem
Dan Edidin, Arun Suresh
The orthogonal beltway problem is the problem of recovering the -orbit of a -function supported at a finite number of points in $\r^n$ from its auto-correlation…