148 citations · 567 across the 75 of their papers we have counts for
6 papers · 2 filters
A Geometric Analysis of Initialization Bias in Spherical -means in the Weak Signal Regime
Amnon Balanov, Tamir Bendory
We study initialization bias in spherical -means for weakly informative directional mixtures. We model the observations by a -component von Mises-Fisher mixture with a small…
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 es…
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…
Provable orbit recovery over SO(3) from the non-uniform second moment
Tamir Bendory, Dan Edidin, Josh Katz +2
We study the recovery of an unknown three-dimensional band-limited signal from multiple noisy observations that are randomly rotated by latent elements of SO(3), where the rotation…
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…