148 citations · 567 across the 75 of their papers we have counts for
7 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…
On Signal Reconstruction from FROG Measurements
Tamir Bendory, Dan Edidin, Yonina C. Eldar
Phase retrieval refers to recovering a signal from its Fourier magnitude. This problem arises naturally in many scientific applications, such as ultra-short laser pulse characteriz…
Benchmark problems for phase retrieval
Veit Elser, Ti-Yen Lan, Tamir Bendory
In recent years, the mathematical and algorithmic aspects of the phase retrieval problem have received considerable attention. Many papers in this area mention crystallography as a…
Fourier Phase Retrieval: Uniqueness and Algorithms
Tamir Bendory, Robert Beinert, Yonina C. Eldar
The problem of recovering a signal from its phaseless Fourier transform measurements, called Fourier phase retrieval, arises in many applications in engineering and science. Fourie…
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…
On the Uniqueness of FROG Methods
Tamir Bendory, Pavel Sidorenko, Yonina C. Eldar
The problem of recovering a signal from its power spectrum, called phase retrieval, arises in many scientific fields. One of many examples is ultra-short laser pulse characterizati…