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Classifying structural variability in noisy projections of biological macromolecules is a central problem in Cryo-EM. In this work, we build on a previous method for estimating the covariance matrix of the three-dimensional structure…

计算机视觉与模式识别 · 计算机科学 2015-12-08 Joakim Andén , Eugene Katsevich , Amit Singer

Cryo-electron microscopy (cryo-EM) is a technique for reconstructing the 3-dimensional (3D) structure of biomolecules (especially large protein complexes and molecular assemblies). As the resolution increases to the near-atomic scale,…

计算机视觉与模式识别 · 计算机科学 2023-08-08 Weijie Chen , Xinyan Wang , Yuhang Wang

Single-particle electron microscopy is a modern technique that biophysicists employ to learn the structure of proteins. It yields data that consist of noisy random projections of the protein structure in random directions, with the added…

应用统计 · 统计学 2012-03-01 Victor M. Panaretos , Kjell Konis

Cryo-electron microscopy (cryo-EM) has emerged as a powerful technique for determining the three-dimensional structures of biological molecules at near-atomic resolution. However, reconstructing helical assemblies presents unique challenges…

定量方法 · 定量生物学 2026-03-16 Guy Shapira , Yoel Shkolnisky

We present a geometry-aware method for heterogeneous single-particle cryogenic electron microscopy (cryo-EM) reconstruction that predicts atomic backbone conformations. To incorporate protein-structure priors, we represent the backbone as a…

计算机视觉与模式识别 · 计算机科学 2026-03-09 Jonathan Krook , Axel Janson , Joakim Andén , Melanie Weber , Ozan Öktem

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…

信息论 · 计算机科学 2019-06-04 Amelia Perry , Jonathan Weed , Afonso S. Bandeira , Philippe Rigollet , Amit Singer

Cryo-electron microscopy (cryo-EM) has revolutionized experimental protein structure determination. Despite advances in high resolution reconstruction, a majority of cryo-EM experiments provide either a single state of the studied…

Cryo-electron microscopy (cryo-EM) studies using single particle reconstruction is extensively used to reveal structural information of macromolecular complexes. Aiming at the highest achievable resolution, state of the art electron…

计算机视觉与模式识别 · 计算机科学 2020-05-04 Ramin Norousi , Stephan Wickles , Thomas Becker , Roland Beckmann , Volker J. Schmid , Achim Tresch

Cryo-electron microscopy (cryo-EM) remains pivotal in structural biology, yet the task of protein particle picking, integral for 3D protein structure construction, is laden with manual inefficiencies. While recent AI tools such as Topaz and…

计算机视觉与模式识别 · 计算机科学 2023-11-29 Fei He , Zhiyuan Yang , Mingyue Gao , Biplab Poudel , Newgin Sam Ebin Sam Dhas , Rajan Gyawali , Ashwin Dhakal , Jianlin Cheng , Dong Xu

Single particle reconstruction (SPR) from cryo-electron microscopy (EM) is a technique in which the 3D structure of a molecule needs to be determined from its contrast transfer function (CTF) affected, noisy 2D projection images taken at…

应用统计 · 统计学 2017-06-30 Tejal Bhamre , Zhizhen Zhao , Amit Singer

We introduce a new rotationally invariant viewing angle classification method for identifying, among a large number of Cryo-EM projection images, similar views without prior knowledge of the molecule. Our rotationally invariant features are…

生物大分子 · 定量生物学 2014-03-19 Zhizhen Zhao , Amit Singer

Single-particle cryo-electron microscopy (cryo-EM) has become a cornerstone of structural biology, enabling near-atomic resolution analysis of macromolecules through advanced computational methods. However, the development of cryo-EM…

计算机视觉与模式识别 · 计算机科学 2025-10-07 Runmin Jiang , Genpei Zhang , Yuntian Yang , Siqi Wu , Minhao Wu , Wanyue Feng , Yizhou Zhao , Xi Xiao , Xiao Wang , Tianyang Wang , Xingjian Li , Muyuan Chen , Min Xu

Protein structure prediction models are now capable of generating accurate 3D structural hypotheses from sequence alone. However, they routinely fail to capture the conformational diversity of dynamic biomolecular complexes, often requiring…

机器学习 · 计算机科学 2025-12-02 Rishwanth Raghu , Axel Levy , Gordon Wetzstein , Ellen D. Zhong

Cellular Electron Cryo-Tomography (CECT) is a powerful imaging technique for the 3D visualization of cellular structure and organization at submolecular resolution. It enables analyzing the native structures of macromolecular complexes and…

定量方法 · 定量生物学 2018-05-16 Chang Liu , Xiangrui Zeng , Ruogu Lin , Xiaodan Liang , Zachary Freyberg , Eric Xing , Min Xu

We propose a framework to jointly determine the deformation parameters and reconstruct the unknown volume in electron cryotomography (CryoET). CryoET aims to reconstruct three-dimensional biological samples from two-dimensional projections.…

图像与视频处理 · 电气工程与系统科学 2023-10-17 Valentin Debarnot , Sidharth Gupta , Konik Kothari , Ivan Dokmanic

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…

生物大分子 · 定量生物学 2024-12-05 Yi Zhou , Yilai Li , Jing Yuan , Quanquan Gu

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…

图像与视频处理 · 电气工程与系统科学 2022-03-03 Nicholas F. Marshall , Ti-Yen Lan , Tamir Bendory , Amit Singer

Structural dynamics of macromolecules is critical to their structural-function relationship. Cryogenic electron microscopy (CryoEM) provides snapshots of vitrified protein at different compositional and conformational states, and the…

定量方法 · 定量生物学 2026-01-27 Muyuan Chen , Muchen Li , Renjie Liao

Increasing interest in three-dimensional nanostructures adds impetus to electron microscopy techniques capable of imaging at or below the nanoscale in three dimensions. We present a reconstruction algorithm that takes as input a focal…

In this paper we study the formal algebraic structure underlying the intrinsic classification algorithm, recently introduced by Hadani, Shkolnisky, Singer and Zhao, for classifying noisy projection images of similar viewing directions in…

表示论 · 数学 2011-04-07 Ronny Hadani , Amit Singer