A Representation Theory Perspective on Simultaneous Alignment and Classification

@article{Lederman2016ART,
  title={A Representation Theory Perspective on Simultaneous Alignment and Classification},
  author={Roy R. Lederman and A. Singer},
  journal={ArXiv},
  year={2016},
  volume={abs/1607.03464}
}
One of the difficulties in 3D reconstruction of molecules from images in single particle Cryo-Electron Microscopy (Cryo-EM), in addition to high levels of noise and unknown image orientations, is heterogeneity in samples: in many cases, the samples contain a mixture of molecules, or multiple conformations of one molecule. Many algorithms for the reconstruction of molecules from images in heterogeneous Cryo-EM experiments are based on iterative approximations of the molecules in a non-convex… Expand
16 Citations
Continuously heterogeneous hyper-objects in cryo-EM and 3-D movies of many temporal dimensions
  • 17
  • PDF
The sample complexity of multi-reference alignment
  • 26
  • PDF
Structural Variability from Noisy Tomographic Projections
  • 19
  • PDF
A max-cut approach to heterogeneity in cryo-electron microscopy
  • 8
  • PDF
Representation Theoretic Patterns in Multi-Frequency Class Averaging for Three-Dimensional Cryo-Electron Microscopy
  • 4
  • PDF
Heterogeneous multireference alignment: A single pass approach
  • 30
  • PDF
Super-resolution multi-reference alignment
  • 3
  • PDF
...
1
2
...

References

SHOWING 1-10 OF 42 REFERENCES
Covariance Matrix Estimation for the Cryo-EM Heterogeneity Problem
  • 46
  • PDF
Viewing Direction Estimation in Cryo-EM Using Synchronization
  • 57
  • PDF
Three-Dimensional Structure Determination from Common Lines in Cryo-EM by Eigenvectors and Semidefinite Programming
  • 149
  • PDF
Angular reconstitution: a posteriori assignment of projection directions for 3D reconstruction.
  • 175
Multireference alignment using semidefinite programming
  • 69
  • PDF
Classification of heterogeneous electron microscopic projections into homogeneous subsets.
  • 27
Detecting consistent common lines in cryo-EM by voting.
  • 54
  • PDF
A max-cut approach to heterogeneity in cryo-electron microscopy
  • 8
  • PDF
Rotationally Invariant Image Representation for Viewing Direction Classification in Cryo-EM
  • 72
  • PDF
...
1
2
3
4
5
...