Publications

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Lederman, Roy R; Andén, Joakim; Singer, Amit

Hyper-molecules: on the representation and recovery of dynamical structures for applications in flexible macro-molecules in cryo-EM Journal Article

Inverse Problems, 36 (4), pp. 044005, 2020, ISSN: 0266-5611, 1361-6420.

Links | BibTeX | Tags: cryo-EM, heterogeneity, HyperMolecules, MCMC, Variational inference

Bandeira, Afonso S; Chen, Yutong; Lederman, Roy R; Singer, Amit

Non-unique games over compact groups and orientation estimation in cryo-EM Journal Article

Inverse Problems, 36 (6), pp. 064002, 2020, ISSN: 0266-5611, 1361-6420.

Links | BibTeX | Tags: Algorithms, cryo-EM, Non-unique games, Representation Theory

Lederman, Roy R; Singer, Amit

A representation theory perspective on simultaneous alignment and classification Journal Article

Applied and Computational Harmonic Analysis, 49 (3), pp. 1001–1024, 2020, ISSN: 1063-5203.

Abstract | Links | BibTeX | Tags: Algorithms, Alignment, Classification, cryo-EM, Graph-cut, heterogeneity, Heterogeneous multireference alignment, Representation Theory, Rotation group, SDP, Synchronization

Boumal, N; Bendory, T; Lederman, Roy R; Singer, A

Heterogeneous multireference alignment: A single pass approach Inproceedings

2018 52nd Annual Conference on Information Sciences and Systems (CISS), pp. 1–6, 2018.

Abstract | Links | BibTeX | Tags: bispectrum, concave programming, cryo-EM, cyclic shifts, Discrete Fourier transforms, estimation theory, expectation-maximization, Gaussian mixture models, heterogeneity, heterogeneous MRA, Heterogeneous multireference alignment, Multireference alignment, Noise measurement, non-convex optimization, nonconvex optimization problem, Optimization, Reliability, signal estimation, signal processing, Signal resolution, Signal to noise ratio, single pass approach, Standards

Lederman, Roy R

Numerical Algorithms for the Computation of Generalized Prolate Spheroidal Functions Technical Report

2017.

Abstract | Links | BibTeX | Tags: Algorithms, cryo-EM, Fourier Transform, Numerical Analysis, Prolate, Slepian, Software

Lederman, Roy R; Singer, Amit

Continuously heterogeneous hyper-objects in cryo-EM and 3-Đ movies of many temporal dimensions Technical Report

(arXiv:1704.02899 [cs]), 2017, (arXiv: 1704.02899).

Abstract | Links | BibTeX | Tags: Computer Science - Computer Vision and Pattern Recognition, cryo-EM, heterogeneity, HyperMolecules

Lederman, Roy R; Singer, Amit

A Representation Theory Perspective on Simultaneous Alignment and Classification Technical Report

(arXiv:1607.03464 [cs, math]), 2016, (arXiv: 1607.03464).

Abstract | Links | BibTeX | Tags: Algorithms, Computer Science - Computer Vision and Pattern Recognition, cryo-EM, Mathematics - Optimization and Control, Representation Theory