3 citations · 4 across the 16 of their papers we have counts for
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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…
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…
Sample Complexity Analysis of Multi-Target Detection via Markovian and Hard-Core Multi-Reference Alignment
Kweku Abraham, Amnon Balanov, Tamir Bendory +1
Motivated by single-particle cryo-electron microscopy, we study the sample complexity of the multi-target detection (MTD) problem, in which an unknown signal appears multiple times…
Solving ill-conditioned polynomial equations using score-based priors with application to multi-target detection
Rafi Beinhorn, Shay Kreymer, Amnon Balanov +3
Recovering signals from low-order moments is a fundamental yet notoriously difficult task in inverse problems. This recovery process often reduces to solving ill-conditioned system…
Structure from Noise: Confirmation Bias in Particle Picking in Structural Biology
Amnon Balanov, Alon Zabatani, Tamir Bendory
The computational pipelines of single-particle cryo-electron microscopy (cryo-EM) and cryo-electron tomography (cryo-ET) include an early particle-picking stage, in which a microgr…
Expectation-maximization for low-SNR multi-reference alignment
Amnon Balanov, Wasim Huleihel, Tamir Bendory
We study the multi-reference alignment (MRA) problem of recovering a signal from noisy observations acted on by unknown random circular shifts. While the information-theoretic limi…
A note on the sample complexity of multi-target detection
Amnon Balanov, Shay Kreymer, Tamir Bendory
This work studies the sample complexity of the multi-target detection (MTD) problem, which involves recovering a signal from a noisy measurement containing multiple instances of a…
Einstein from Noise: Statistical Analysis
Amnon Balanov, Wasim Huleihel, Tamir Bendory
``Einstein from noise" (EfN) is a prominent example of the model bias phenomenon: systematic errors in the statistical model that lead to spurious but consistent estimates. In the…