148 citations · 1.2k across the 75 of their papers we have counts for
92 papers
Mathematics of Data Science
Afonso S. Bandeira, Amit Singer, Thomas Strohmer
This book is about the mathematical foundations of data science. 1. Introduction 2. Curses, Blessings, and Surprises in High Dimensions 3. Singular Value Decomposition and Principa…
Alignment of Density Maps in Wasserstein Distance
Amit Singer, Ruiyi Yang
In this paper we propose an algorithm for aligning three-dimensional objects when represented as density maps, motivated by applications in cryogenic electron microscopy. The algor…
Expectation-maximization for structure determination directly from cryo-EM micrographs
Shay Kreymer, Amit Singer, Tamir Bendory
A single-particle cryo-electron microscopy (cryo-EM) measurement, called a micrograph, consists of multiple two-dimensional tomographic projections of a three-dimensional (3-D) mol…
Fast Principal Component Analysis for Cryo-EM Images
Nicholas F. Marshall, Oscar Mickelin, Yunpeng Shi +1
Principal component analysis (PCA) plays an important role in the analysis of cryo-EM images for various tasks such as classification, denoising, compression, and ab-initio modelin…
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…
Quantitatively visualizing bipartite datasets
Tal Einav, Yuehaw Khoo, Amit Singer
As experiments continue to increase in size and scope, a fundamental challenge of subsequent analyses is to recast the wealth of information into an intuitive and readily-interpret…