7 papers · 1 filter
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…
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…
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…
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…
Phase retrieval with semi-algebraic and ReLU neural network priors
Tamir Bendory, Nadav Dym, Dan Edidin +1
The key ingredient to retrieving a signal from its Fourier magnitudes, namely, to solve the phase retrieval problem, is an effective prior on the sought signal. In this paper, we s…
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…