148 citations · 567 across the 75 of their papers we have counts for
11 papers · 1 filter
Orbit recovery under the rigid motions group
Amnon Balanov, Tamir Bendory, Dan Edidin
We study the orbit recovery problem under the rigid-motion group SE(n), where the objective is to reconstruct an unknown signal from multiple noisy observations subjected to unknow…
SO(3)-invariant PCA with application to molecular data
Michael Fraiman, Paulina Hoyos, Tamir Bendory +4
Principal component analysis (PCA) is a fundamental technique for dimensionality reduction and denoising; however, its application to three-dimensional data with arbitrary orientat…
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…
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…
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…
Provable algorithms for multi-reference alignment over $\SO(2)$
Gil Drozatz, Tamir Bendory, Nir Sharon
The multi-reference alignment (MRA) problem involves reconstructing a signal from multiple noisy observations, each transformed by a random group element. In this paper, we focus o…
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…
The stability of generalized phase retrieval problem over compact groups
Tal Amir, Tamir Bendory, Nadav Dym +1
The generalized phase retrieval problem over compact groups aims to recover a set of matrices -- representing an unknown signal -- from their associated Gram matrices. This framewo…
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…
The generalized phase retrieval problem over compact groups
Tamir Bendory, Dan Edidin
The classical phase retrieval problem involves estimating a signal from its Fourier magnitudes (power spectrum) by leveraging prior information about the desired signal. This paper…