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In cryo-electron microscopy (cryo-EM), a microscope generates a top view of a sample of randomly-oriented copies of a molecule. The problem of single particle reconstruction (SPR) from cryo-EM is to use the resulting set of noisy 2D…

Numerical Analysis · Mathematics 2014-09-16 Gene Katsevich , Alexander Katsevich , Amit Singer

Calorimeters operating in high-radiation environments are susceptible to damage, leading to increased noise that can significantly degrade energy resolution. A common way to mitigate noise is to apply a higher energy threshold on the cells,…

Instrumentation and Detectors · Physics 2025-09-16 Suman Das Gupta , Shamik Ghosh , Laltu Gazi , Shubham Dutta , Alexander Ledovskoy , Satyaki Bhattacharya , Shilpi Jain

Electron cryomicroscopy (cryo-EM) is an imaging technique widely used in structural biology to determine the three-dimensional structure of biological molecules from noisy two-dimensional projections with unknown orientations. As the…

Numerical Analysis · Mathematics 2025-06-26 Bogdan Toader , Marcus A. Brubaker , Roy R. Lederman

In the Multiple Measurements Vector (MMV) model, measurement vectors are connected to unknown, jointly sparse signal vectors through a linear regression model employing a single known measurement matrix (or dictionary). Typically, the…

Methodology · Statistics 2024-08-05 Esa Ollila

Clustering and estimating cluster means are core problems in statistics and machine learning, with k-means and Expectation Maximization (EM) being two widely used algorithms. In this work, we provide a theoretical explanation for the…

Machine Learning · Statistics 2025-06-19 David Silva-Sánchez , Roy R. Lederman

Multi-task-learning(MTL) is a multi-target optimization task. Neural networks try to realize each target using a shared interpretative space within MTL. However, as the scale of datasets expands and the complexity of tasks increases,…

Computer Vision and Pattern Recognition · Computer Science 2024-10-08 Ruiyuan Zhang , Yuyao Chen , Yuchi Huo , Jiaxiang Liu , Dianbing Xi , Jie Liu , Chao Wu

The number of noisy images required for molecular reconstruction in single-particle cryo-electron microscopy (cryo-EM) is governed by the autocorrelations of the observed, randomly-oriented, noisy projection images. In this work, we…

Numerical Analysis · Mathematics 2023-05-03 Tamir Bendory , Yuehaw Khoo , Joe Kileel , Oscar Mickelin , Amit Singer

Medical image classification involves thresholding of labels that represent malignancy risk levels. Usually, a task defines a single threshold, and when developing computer-aided diagnosis tools, a single network is trained per such…

Computer Vision and Pattern Recognition · Computer Science 2018-11-22 Vadim Ratner , Yoel Shoshan , Tal Kachman

In recent years, there is a growing need for processing methods aimed at extracting useful information from large datasets. In many cases the challenge is to discover a low-dimensional structure in the data, often concealed by the existence…

Statistics Theory · Mathematics 2019-06-05 Yariv Aizenbud , Boris Landa , Yoel Shkolnisky

In this report we study the problem of determining three-dimensional orientations for noisy projections of randomly oriented identical particles. The problem is of central importance in the tomographic reconstruction of the density map of…

Data Structures and Algorithms · Computer Science 2007-05-23 Taneli Mielikäinen , Janne Ravantti , Esko Ukkonen

Motivation: Structural heterogeneity in single-particle cryo-electron microscopy (cryo-EM) data represents a major challenge for high-resolution structure determination. Unsupervised classification may serve as the first step in the…

Data Analysis, Statistics and Probability · Physics 2017-11-01 Jiayi Wu , Yong-Bei Ma , Charles Congdon , Bevin Brett , Shuobing Chen , Qi Ouyang , Youdong Mao

Over the past decade, cryogenic electron microscopy (cryo-EM) has emerged as a primary method for determining near-native, near-atomic resolution 3D structures of biological macromolecules. In order to meet increasing demand for cryo-EM,…

Image and Video Processing · Electrical Eng. & Systems 2022-01-19 Paul T. Kim , Alex J. Noble , Anchi Cheng , Tristan Bepler

Passive multi-target tracking (MTT) aims to infer the kinematic states of multiple targets from noisy sensor data in which contributions from unknown target-emitted signals are superposed. Track-before-detect (TBD) methods improve…

Audio and Speech Processing · Electrical Eng. & Systems 2026-05-26 Nobutaka Ito , Yoshiaki Bando

Differentiating signals from the background in micrographs is a critical initial step for cryogenic electron microscopy (cryo-EM), yet it remains laborious due to low signal-to-noise ratio (SNR), the presence of contaminants and densely…

Image and Video Processing · Electrical Eng. & Systems 2025-09-30 Szu-Chi Chung , Po-Cheng Chou

In this work, we explore the problems of detecting the number of narrow-band, far-field targets and estimating their corresponding directions from single snapshot measurements. The principles of sparse signal recovery (SSR) are used for the…

Applications · Statistics 2017-05-23 Rakshith Jagannath

This paper deals with the problem of clustering data returned by a radar sensor network that monitors a region where multiple moving targets are present. The network is formed by nodes with limited functionalities that transmit the…

Signal Processing · Electrical Eng. & Systems 2024-05-07 Linjie Yan , Pia Addabbo , Nicomino Fiscante , Carmine Clemente , Chengpeng Hao , Gaetano Giunta , Danilo Orlando

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

Quality-Diversity optimisation algorithms enable the evolution of collections of both high-performing and diverse solutions. These collections offer the possibility to quickly adapt and switch from one solution to another in case it is not…

Neural and Evolutionary Computing · Computer Science 2023-04-26 Manon Flageat , Antoine Cully

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

The multipath radio channel is considered to have a non-bandlimited channel impulse response. Therefore, it is challenging to achieve high resolution time-delay (TD) estimation of multipath components (MPCs) from bandlimited observations of…

Signal Processing · Electrical Eng. & Systems 2019-12-11 Tarik Kazaz , Gerard J. M. Janssen , Alle-Jan van der Veen