ArticleApplied and computational harmonic analysis2020
A Representation Theory Perspective on Simultaneous Alignment and Classification.
Article in Applied and computational harmonic analysis, 2020. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 5 papers.
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5 citing papers in PubMed.
- Methods for Cryo-EM Single Particle Reconstruction of Macromolecules Having Continuous Heterogeneity.Journal of molecular biology · 2023Review
- Super-resolution multi-reference alignment.Information and inference : a journal of the IMA · 2022Article
- Hyper-Molecules: on the Representation and Recovery of Dynamical Structures for Applications in Flexible Macro-Molecules in Cryo-EM.Inverse problems · 2020Article
- SMAC: Simultaneous Mapping and Clustering Using Spectral Decompositions.Proceedings of machine learning research · 2018Article
- Structural Variability from Noisy Tomographic Projections.SIAM journal on imaging sciences · 2018Article
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2 authors.
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Abstract
Single particle cryo-electron microscopy (EM) is a method for determining the 3-D structure of macromolecules from many noisy 2-D projection images of individual macromolecules whose orientations and positions are random and unknown. The problem of orientation assignment for the images motivated work on general multireference alignment. The recently introduced non-unique games framework provides a representation theoretic approach to alignment over compact groups, and offers a convex relaxation which is formulated as semidefinite programs with certificates of global optimality under certain circumstances. One of the great opportunities in cryo-EM is studying heterogeneous samples, containing two or more distinct classes or conformations of molecules. Taking advantage of this opportunity presents an algorithmic challenge: determining both the class and orientation of each particle. We generalize multireference alignment to a problem of alignment and classification, and we propose to extend non-unique games to the problem of simultaneous alignment and classification with the goal of simultaneously classifying cryo-EM images and aligning them within their respective classes.
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