5 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…
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…
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-…
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…