33 citations · 51 across the 13 of their papers we have counts for
16 papers
Image Moment Estimation for Crowded Datasets
Andy Zhang, Oscar Mickelin, Amit Singer
Single-particle cryogenic electron microscopy (cryo-EM) is an imaging technique capable of reconstructing high-resolution three-dimensional (3D) structure of biological macromolecu…
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…
SO(3)-invariant PCA with application to molecular data
Michael Fraiman, Paulina Hoyos, Tamir Bendory +4
Principal component analysis (PCA) is a fundamental technique for dimensionality reduction and denoising; however, its application to three-dimensional data with arbitrary orientat…
Diagonally-Weighted Generalized Method of Moments Estimation for Gaussian Mixture Modeling
Liu Zhang, Oscar Mickelin, Sheng Xu +1
Since Pearson [Philosophical Transactions of the Royal Society of London. A, 185 (1894), pp. 71-110] first applied the method of moments (MM) for modeling data as a mixture of one-…
Subspace method of moments for ab initio 3-D single-particle cryo-EM reconstruction
Jeremy Hoskins, Yuehaw Khoo, Oscar Mickelin +2
Cryo-electron microscopy (cryo-EM) is a widely used technique for recovering the 3-D structure of biological molecules from a large number of experimentally generated noisy 2-D tom…
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…
The beltway problem over orthogonal groups
Tamir Bendory, Dan Edidin, Oscar Mickelin
The classical beltway problem entails recovering a set of points from their unordered pairwise distances on the circle. This problem can be viewed as a special case of the crystall…
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…
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…
Fast expansion into harmonics on the disk: a steerable basis with fast radial convolutions
Nicholas F. Marshall, Oscar Mickelin, Amit Singer
We present a fast and numerically accurate method for expanding digitized images representing functions on supported on the disk $\{x \in \mathbb{R}^2 : |x|…
The Role of Heterogeneity in Autonomous Perimeter Defense Problems
Aviv Adler, Oscar Mickelin, Ragesh K. Ramachandran +2
When is heterogeneity in the composition of an autonomous robotic team beneficial and when is it detrimental? We investigate and answer this question in the context of a minimally…
An optimal scheduled learning rate for a randomized Kaczmarz algorithm
Nicholas F. Marshall, Oscar Mickelin
We study how the learning rate affects the performance of a relaxed randomized Kaczmarz algorithm for solving , where is a consistent linear s…
Sparse multi-reference alignment: sample complexity and computational hardness
Tamir Bendory, Oscar Mickelin, Amit Singer
Motivated by the problem of determining the atomic structure of macromolecules using single-particle cryo-electron microscopy (cryo-EM), we study the sample and computational compl…
On sufficient conditions for mixed monotonicity
Liren Yang, Oscar Mickelin, Necmiye Ozay
Mixed monotone systems form an important class of nonlinear systems that have recently received attention in the abstraction-based control design area. Slightly different definitio…
Anomalous chained turbulence in actively driven flows on spheres
Oscar Mickelin, Jonasz Słomka, Keaton J. Burns +4
Recent experiments demonstrate the importance of substrate curvature for actively forced fluid dynamics. Yet, the covariant formulation and analysis of continuum models for non-equ…