activity
20142026
most citedSingle-particle cryo-electron microscopy: Mathematical theory, computational challenges, and opportunities

148 citations · 567 across the 75 of their papers we have counts for

collaborators
Showing 2017Show all

8 papers · 1 filter

math.OC2017

3D ab initio modeling in cryo-EM by autocorrelation analysis

Eitan Levin, Tamir Bendory, Nicolas Boumal +2

Single-Particle Reconstruction (SPR) in Cryo-Electron Microscopy (cryo-EM) is the task of estimating the 3D structure of a molecule from a set of noisy 2D projections, taken from u…

cs.IT2017

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…

cs.IT2017

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…

cs.IT2017

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…

cs.IT2017

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…

cs.IT2017

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…

cs.IT2017★ 105 cited

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…

cs.IT2017★ 43 cited

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…