4 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…
Bayesian Perspective for Orientation Determination in Cryo-EM with Application to Structural Heterogeneity Analysis
Sheng Xu, Amnon Balanov, Amit Singer +1
Accurate orientation estimation is a crucial component of 3D molecular structure reconstruction, both in single-particle cryo-electron microscopy (cryo-EM) and in the increasingly…
Misspecified Maximum Likelihood Estimation for Non-Uniform Group Orbit Recovery
Sheng Xu, Anderson Ye Zhang, Amit Singer
We study maximum likelihood estimation (MLE) in the generalized group orbit recovery model, where each observation is generated by applying a random group action and a known, fixed…
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-…