44 citations · 103 across the 8 of their papers we have counts for
11 papers
Two Datasets Are Better Than One: Method of Double Moments for 3-D Reconstruction in Cryo-EM
Joe Kileel, Oscar Mickelin, Amit Singer +1
Cryo-electron microscopy (cryo-EM) is a powerful imaging technique for reconstructing three-dimensional molecular structures from noisy tomographic projection images of randomly or…
Higher-Order Group Synchronization
Adriana L. Duncan, Joe Kileel
Group synchronization is the problem of determining reliable global estimates from noisy local measurements on networks. The typical task for group synchronization is to assign ele…
Fast expansion into harmonics on the ball
Joe Kileel, Nicholas F. Marshall, Oscar Mickelin +1
We devise fast and provably accurate algorithms to transform between an Cartesian voxel representation of a three-dimensional function and its expansion into t…
Algebraic Constraints and Algorithms for Common Lines in Cryo-EM
Tommi Muller, Adriana L. Duncan, Eric J. Verbeke +1
We revisit the topic of common lines between projection images in single particle cryo-electron microscopy (cryo-EM). We derive a novel low-rank constraint on a certain $2n \times…
Moment-based metrics for molecules computable from cryo-EM images
Andy Zhang, Oscar Mickelin, Joe Kileel +4
Single particle cryogenic electron microscopy (cryo-EM) is an imaging technique capable of recovering the high-resolution 3-D structure of biological macromolecules from many noisy…
Moment Varieties for Mixtures of Products
Yulia Alexandr, Joe Kileel, Bernd Sturmfels
The setting of this article is nonparametric algebraic statistics. We study moment varieties of conditionally independent mixture distributions on . These are the sec…
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…
Manifold learning with arbitrary norms
Joe Kileel, Amit Moscovich, Nathan Zelesko +1
Manifold learning methods play a prominent role in nonlinear dimensionality reduction and other tasks involving high-dimensional data sets with low intrinsic dimensionality. Many o…
Earthmover-based manifold learning for analyzing molecular conformation spaces
Nathan Zelesko, Amit Moscovich, Joe Kileel +1
In this paper, we propose a novel approach for manifold learning that combines the Earthmover's distance (EMD) with the diffusion maps method for dimensionality reduction. We demon…
Method of moments for 3-D single particle ab initio modeling with non-uniform distribution of viewing angles
Nir Sharon, Joe Kileel, Yuehaw Khoo +2
Single-particle reconstruction in cryo-electron microscopy (cryo-EM) is an increasingly popular technique for determining the 3-D structure of a molecule from several noisy 2-D pro…
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…