25 papers
A Fast Approximate Maximum Likelihood Estimator for Low SNR Multi-Reference Alignment
Shay Kreymer, Amnon Balanov, Tamir Bendory
Motivated by single-particle cryo-electron microscopy, multi-reference alignment (MRA) models the task of recovering an unknown signal from multiple noisy observations corrupted by…
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 interplay of signal-to-noise ratio and variance misspecification in Gaussian mixtures
Vladimir Serov, Amnon Balanov, Tamir Bendory
We study estimation and clustering in Gaussian mixture models under variance misspecification. Observations are generated with true variance , while the component means are e…