148 citations · 1.2k across the 75 of their papers we have counts for
5 papers · 2 filters
Multireference Alignment is Easier with an Aperiodic Translation Distribution
Emmanuel Abbe, Tamir Bendory, William Leeb +3
In the multireference alignment model, a signal is observed by the action of a random circular translation and the addition of Gaussian noise. The goal is to recover the signal's o…
Heterogeneous multireference alignment: a single pass approach
Nicolas Boumal, Tamir Bendory, Roy R. Lederman +1
Multireference alignment (MRA) is the problem of estimating a signal from many noisy and cyclically shifted copies of itself. In this paper, we consider an extension called heterog…
The sample complexity of multi-reference alignment
Amelia Perry, Jonathan Weed, Afonso S. Bandeira +2
The growing role of data-driven approaches to scientific discovery has unveiled a large class of models that involve latent transformations with a rigid algebraic constraint. Three…
Bispectrum Inversion with Application to Multireference Alignment
Tamir Bendory, Nicolas Boumal, Chao Ma +2
We consider the problem of estimating a signal from noisy circularly-translated versions of itself, called multireference alignment (MRA). One natural approach to MRA could be to e…
Sample Complexity of the Boolean Multireference Alignment Problem
Emmanuel Abbe, Joao Pereira, Amit Singer
The Boolean multireference alignment problem consists in recovering a Boolean signal from multiple shifted and noisy observations. In this paper we obtain an expression for the err…