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Background: Single-particle cryo-electron microscopy (cryo-EM) has become a popular tool for structural determination of biological macromolecular complexes. High-resolution cryo-EM reconstruction often requires hundreds of thousands of…

Data Analysis, Statistics and Probability · Physics 2017-09-05 Yanan Zhu , Qi Ouyang , Youdong Mao

Single-Particle Reconstruction (SPR) in Cryo-Electron Microscopy (cryo-EM) is the task of estimating the 3D structure of a molecule from a set of noisy 2D projections, taken from unknown viewing directions. Many algorithms for SPR start…

Optimization and Control · Mathematics 2018-01-09 Eitan Levin , Tamir Bendory , Nicolas Boumal , Joe Kileel , Amit Singer

In cryo-electron microscopy (EM), molecular structures are determined from large numbers of projection images of individual particles. To harness the full power of this single-molecule information, we use the Bayesian inference of EM…

Biomolecules · Quantitative Biology 2018-01-17 Pilar Cossio , David Rohr , Fabio Baruffa , Markus Rampp , Volker Lindenstruth , Gerhard Hummer

We introduce a framework for recovering an image from its rotationally and translationally invariant features based on autocorrelation analysis. This work is an instance of the multi-target detection statistical model, which is mainly used…

Image and Video Processing · Electrical Eng. & Systems 2022-03-03 Nicholas F. Marshall , Ti-Yen Lan , Tamir Bendory , Amit Singer

In recent years, an abundance of new molecular structures have been elucidated using cryo-electron microscopy (cryo-EM), largely due to advances in hardware technology and data processing techniques. Owing to these new exciting…

Information Theory · Computer Science 2020-04-22 Tamir Bendory , Alberto Bartesaghi , Amit Singer

Cryo-electron microscopy (cryo-EM) enables single-particle analysis of biological macromolecules under strict low-dose imaging conditions, but the resulting micrographs often exhibit extremely low signal-to-noise ratios and weak particle…

Computer Vision and Pattern Recognition · Computer Science 2026-04-21 Xiaoqi Wu , Xueying Zhan , Wen Li , Junhao Wu , Xin Huang , Min Xu

We consider the problem of recovering the three-dimensional atomic structure of a flexible macromolecule from a heterogeneous cryo-EM dataset. The dataset contains noisy tomographic projections of the electrostatic potential of the…

Image and Video Processing · Electrical Eng. & Systems 2023-02-08 Carlos Esteve-Yagüe , Willem Diepeveen , Ozan Öktem , Carola-Bibiane Schönlieb

Single-particle cryo-electron microscopy (cryo-EM) is a leading technology to resolve the structure of molecules. Early in the process, the user detects potential particle images in the raw data. Typically, there are many false detections…

Image and Video Processing · Electrical Eng. & Systems 2023-03-08 Gili Weiss-Dicker , Amitay Eldar , Yoel Shkolinsky , Tamir Bendory

Cryo-electron microscopy (cryo-EM) is a powerful imaging technique for reconstructing three-dimensional molecular structures from noisy tomographic projection images of randomly oriented particles. We introduce a new data fusion framework,…

Computer Vision and Pattern Recognition · Computer Science 2025-12-15 Joe Kileel , Oscar Mickelin , Amit Singer , Sheng Xu

Cryo-electron microscopy (cryo-EM) is an imaging modality that provides unique insights into the dynamics of proteins and other building blocks of life. The algorithmic challenge of jointly estimating the poses, 3D structure, and…

Computer Vision and Pattern Recognition · Computer Science 2022-10-17 Axel Levy , Gordon Wetzstein , Julien Martel , Frederic Poitevin , Ellen D. Zhong

Cryo-electron microscopy (cryo-EM) is a powerful technique for determining high-resolution 3D biomolecular structures from imaging data. Its unique ability to capture structural variability has spurred the development of heterogeneous…

Computer Vision and Pattern Recognition · Computer Science 2025-01-17 Minkyu Jeon , Rishwanth Raghu , Miro Astore , Geoffrey Woollard , Ryan Feathers , Alkin Kaz , Sonya M. Hanson , Pilar Cossio , Ellen D. Zhong

Cryo-electron microscopy (cryo-EM) has recently become a premier method for obtaining high-resolution structures of biological macromolecules. However, it is limited to biomolecular samples with low conformational heterogeneity, where all…

Cryogenic electron microscopy (cryo-EM) provides images from different copies of the same biomolecule in arbitrary orientations. Here, we present an end-to-end unsupervised approach that learns individual particle orientations from cryo-EM…

Image and Video Processing · Electrical Eng. & Systems 2021-07-08 Youssef S. G. Nashed , Frederic Poitevin , Harshit Gupta , Geoffrey Woollard , Michael Kagan , Chuck Yoon , Daniel Ratner

A major challenge in single-particle cryo-electron microscopy (cryo-EM) is that the orientations adopted by the 3D particles prior to imaging are unknown; yet, this knowledge is essential for high-resolution reconstruction. We present a…

Machine Learning · Computer Science 2021-04-14 Jelena Banjac , Laurène Donati , Michaël Defferrard

Cryo-electron tomography (cryo-ET) has emerged as a powerful tool for studying the structural heterogeneity of proteins and their complexes, offering insights into macromolecular dynamics directly within cells. Driven by recent…

Biomolecules · Quantitative Biology 2025-07-01 Jackson Carrion , Joseph H. Davis

A major challenge in single particle reconstruction methods using cryo-electron microscopy is to attain a resolution sufficient to interpret fine details in three-dimensional (3D) macromolecular structures. Obtaining high resolution 3D…

Numerical Analysis · Mathematics 2013-07-23 Lanhui Wang , Yoel Shkolnisky , Amit Singer

Cryo-electron microscopy (cryo-EM) is a powerful technique in structural biology and drug discovery, enabling the study of biomolecules at high resolution. Significant advancements by structural biologists using cryo-EM have led to the…

Biomolecules · Quantitative Biology 2024-12-05 Yi Zhou , Yilai Li , Jing Yuan , Quanquan Gu

Motivated by the task of 2-D classification in single particle reconstruction by cryo-electron microscopy (cryo-EM), we consider the problem of heterogeneous multireference alignment of images. In this problem, the goal is to estimate a…

Image and Video Processing · Electrical Eng. & Systems 2019-10-03 Chao Ma , Tamir Bendory , Nicolas Boumal , Fred Sigworth , Amit Singer

Understanding protein flexibility and its dynamic interactions with other molecules is essential for studying protein function. Although cryogenic electron microscopy(cryo-EM) provides an opportunity to observe macromolecular dynamics…

Computer Vision and Pattern Recognition · Computer Science 2026-02-03 Bintao He , Yiran Cheng , Hongjia Li , Xiang Gao , Xin Gao , Fa Zhang , Renmin Han

The growing role of data-driven approaches to scientific discovery has unveiled a large class of models that involve latent transformations with a rigid algebraic constraint. Three-dimensional molecule reconstruction in Cryo-Electron…

Information Theory · Computer Science 2019-06-04 Amelia Perry , Jonathan Weed , Afonso S. Bandeira , Philippe Rigollet , Amit Singer