148 citations · 567 across the 75 of their papers we have counts for
10 papers · 1 filter
Signal enhancement for two-dimensional cryo-EM data processing
Guy Sharon, Yoel Shkolnisky, Tamir Bendory
Different tasks in the computational pipeline of single-particle cryo-electron microscopy (cryo-EM) require enhancing the quality of the highly noisy raw images. To this end, we de…
The sample complexity of sparse multi-reference alignment and single-particle cryo-electron microscopy
Tamir Bendory, Dan Edidin
Multi-reference alignment (MRA) is the problem of recovering a signal from its multiple noisy copies, each acted upon by a random group element. MRA is mainly motivated by single-p…
Unsupervised particle sorting for cryo-EM using probabilistic PCA
Gili Weiss-Dicker, Amitay Eldar, Yoel Shkolinsky +1
Single-particle cryo-electron microscopy (cryo-EM) is a leading technology to resolve the structure of molecules. Early in the process, the user detects potential particle images i…
K-sample Multiple Hypothesis Testing for Signal Detection
Uriel Shiterburd, Tamir Bendory, Amichai Painsky
This paper studies the classical problem of estimating the locations of signal occurrences in a noisy measurement. Based on a multiple hypothesis testing scheme, we design a K-samp…
Autocorrelation analysis for cryo-EM with sparsity constraints: Improved sample complexity and projection-based algorithms
Tamir Bendory, Yuehaw Khoo, Joe Kileel +2
The number of noisy images required for molecular reconstruction in single-particle cryo-electron microscopy (cryo-EM) is governed by the autocorrelations of the observed, randomly…
Detecting non-overlapping signals with dynamic programming
Mordechai Roth, Amichai Painsky, Tamir Bendory
This paper studies the classical problem of detecting the locations of signal occurrences in a one-dimensional noisy measurement. Assuming the signal occurrences do not overlap, we…
Unrolled algorithms for group synchronization
Noam Janco, Tamir Bendory
The group synchronization problem involves estimating a collection of group elements from noisy measurements of their pairwise ratios. This task is a key component in many computat…
Denoiser-based projections for 2-D super-resolution multi-reference alignment
Jonathan Shani, Tom Tirer, Raja Giryes +1
We study the 2-D super-resolution multi-reference alignment (SR-MRA) problem: estimating an image from its down-sampled, circularly-translated, and noisy copies. The SR-MRA problem…
Algebraic theory of phase retrieval
Tamir Bendory, Dan Edidin
The purpose of this article is to discuss recent advances in the growing field of phase retrieval, and to publicize open problems that we believe will be of interest to mathematici…
On the Role of Channel Capacity in Learning Gaussian Mixture Models
Elad Romanov, Tamir Bendory, Or Ordentlich
This paper studies the sample complexity of learning the unknown centers of a balanced Gaussian mixture model (GMM) in with spherical covariance matrix $σ^2\math…