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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

Single-particle cryo-electron microscopy (cryo-EM) has become one of the mainstream structural biology techniques because of its ability to determine high-resolution structures of dynamic bio-molecules. However, cryo-EM data acquisition…

Machine Learning · Computer Science 2022-04-18 Quanfu Fan , Yilai Li , Yuguang Yao , John Cohn , Sijia Liu , Seychelle M. Vos , Michael A. Cianfrocco

Determining the 3D structures of biological molecules is a key problem for both biology and medicine. Electron Cryomicroscopy (Cryo-EM) is a promising technique for structure estimation which relies heavily on computational methods to…

Machine Learning · Statistics 2015-01-29 Ali Punjani , Marcus A. Brubaker

We introduce GRiD: a GPU-accelerated library for computing rigid body dynamics with analytical gradients. GRiD was designed to accelerate the nonlinear trajectory optimization subproblem used in state-of-the-art robotic planning, control,…

Robotics · Computer Science 2023-03-03 Brian Plancher , Sabrina M. Neuman , Radhika Ghosal , Scott Kuindersma , Vijay Janapa Reddi

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

The multi-reference alignment (MRA) problem entails estimating an image from multiple noisy and rotated copies of itself. If the noise level is low, one can reconstruct the image by estimating the missing rotations, aligning the images, and…

Signal Processing · Electrical Eng. & Systems 2022-06-17 Noam Janco , Tamir Bendory

Motivated by single-particle cryo-electron microscopy, multi-reference alignment (MRA) models the task of recovering an unknown signal from multiple noisy observations corrupted by random rotations. The standard approach,…

Signal Processing · Electrical Eng. & Systems 2026-01-09 Shay Kreymer , Amnon Balanov , Tamir Bendory

Motivated by the problem of determining the atomic structure of macromolecules using single-particle cryo-electron microscopy (cryo-EM), we study the sample and computational complexities of the sparse multi-reference alignment (MRA) model:…

Information Theory · Computer Science 2021-09-27 Tamir Bendory , Oscar Mickelin , Amit Singer

Enhancing cryogenic electron microscopy (cryo-EM) 3D density maps at intermediate resolution (4-8 {\AA}) is crucial in protein structure determination. Recent advances in deep learning have led to the development of automated approaches for…

Computer Vision and Pattern Recognition · Computer Science 2025-05-16 Chenwei Zhang , Khanh Dao Duc

Single-particle cryo-electron microscopy (cryo-EM) is an emerging imaging modality capable of visualizing proteins and macro-molecular complexes at near-atomic resolution. The low electron-doses used to prevent sample radiation damage,…

Image and Video Processing · Electrical Eng. & Systems 2020-11-24 Qinwen Huang , Ye Zhou , Xiaochen Du , Reed Chen , Jianyou Wang , Cynthia Rudin , Alberto Bartesaghi

Cryo-electron microscopy (cryo-EM) has revolutionized structural biology by enabling near-atomic-level visualization of biomolecular assemblies. However, the exponential growth in cryo-EM data throughput and complexity, coupled with diverse…

Quantitative Methods · Quantitative Biology 2026-02-25 Weining Fu , Kai Shu , Kui Xu , Qiangfeng Cliff Zhang

Cryo-electron microscopy (cryo-EM) emerges as a pivotal technology for determining the architecture of cells, viruses, and protein assemblies at near-atomic resolution. Traditional particle picking, a key step in cryo-EM, struggles with…

Biomolecules · Quantitative Biology 2024-04-17 Chentianye Xu , Xueying Zhan , Min Xu

Single-particle cryo-EM has transformed structural biology but still faces challenges in resolving conformational heterogeneity at atomic resolution. Existing cryo-EM heterogeneity analysis methods either lack atomic details or tend to…

Biomolecules · Quantitative Biology 2025-10-21 Chengwei Zhang , Shimian Li , Yihao Niu , Zhen Zhu , Sihao Yuan , Sirui Liu , Yi Qin Gao

Cryogenic electron microscopy (cryo-EM) has transformed structural biology by allowing to reconstruct 3D biomolecular structures up to near-atomic resolution. However, the 3D reconstruction process remains challenging, as the 3D structures…

Computer Vision and Pattern Recognition · Computer Science 2023-07-18 Bongjin Koo , Julien Martel , Ariana Peck , Axel Levy , Frédéric Poitevin , Nina Miolane

Cryo-Electron Microscopy (Cryo-EM) is a Nobel prize-winning technology for determining the 3D structure of particles at near-atomic resolution. A fundamental step in the recovering of the 3D single-particle structure is to align its 2D…

Image and Video Processing · Electrical Eng. & Systems 2021-01-12 Koby Bibas , Gili Weiss-Dicker , Dana Cohen , Noa Cahan , Hayit Greenspan

DNA sequence classification is a fundamental task in computational biology with vast implications for applications such as disease prevention and drug design. Therefore, fast high-quality sequence classifiers are significantly important.…

Machine Learning · Computer Science 2023-11-07 Marcel Khalifa , Barak Hoffer , Orian Leitersdorf , Robert Hanhan , Ben Perach , Leonid Yavits , Shahar Kvatinsky

Constructing atomic models from cryo-electron microscopy (cryo-EM) maps is a crucial yet intricate task in structural biology. While advancements in deep learning, such as convolutional neural networks (CNNs) and graph neural networks…

Quantitative Methods · Quantitative Biology 2024-11-01 Xin , Ma , Dong Si

Cryo-electron microscopy (cryo-EM), the subject of the 2017 Nobel Prize in Chemistry, is a technology for determining the 3-D structure of macromolecules from many noisy 2-D projections of instances of these macromolecules, whose…

Computer Vision and Pattern Recognition · Computer Science 2020-04-22 Roy R. Lederman , Joakim Andén , Amit Singer

Cryo-electron microscopy (cryo-EM) has become a major experimental technique to determine the structures of large protein complexes and molecular assemblies, as evidenced by the 2017 Nobel Prize. Although cryo-EM has been drastically…

Biomolecules · Quantitative Biology 2021-06-01 Dong Si , Andrew Nakamura , Runbang Tang , Haowen Guan , Jie Hou , Ammaar Firozi , Renzhi Cao , Kyle Hippe , Minglei Zhao

Structural flexibility and/or dynamic interactions with other molecules is a critical aspect of protein function. CryoEM provides direct visualization of individual macromolecules sampling different conformational and compositional states.…

Biomolecules · Quantitative Biology 2021-08-04 Muyuan Chen , Steven Ludtke
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