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The missing phase problem in X-ray crystallography is commonly solved using the technique of molecular replacement, which borrows phases from a previously solved homologous structure, and appends them to the measured Fourier magnitudes of…

计算机视觉与模式识别 · 计算机科学 2017-04-27 Tejal Bhamre , Teng Zhang , Amit Singer

Cryo-electron microscopy is a revolutionary technique that can provide 3D density maps at near-atomic resolution. However, map validation is still an open issue in the field. Despite several efforts from the community, it is possible to…

We propose an image deconvolution algorithm when the data is contaminated by Poisson noise. The image to restore is assumed to be sparsely represented in a dictionary of waveforms such as the wavelet or curvelet transforms. Our key…

应用统计 · 统计学 2009-11-13 François-Xavier Dupé , Jalal Fadili , Jean Luc Starck

Motivated by cutting-edge applications like cryo-electron microscopy (cryo-EM), the Multi-Reference Alignment (MRA) model entails the learning of an unknown signal from repeated measurements of its images under the latent action of a group…

统计理论 · 数学 2022-03-11 Subhro Ghosh , Philippe Rigollet

We study array imaging of a sparse scene of point-like sources or scatterers in a homogeneous medium. For source imaging the sensors in the array are receivers that collect measurements of the wave field. For imaging scatterers the array…

数值分析 · 数学 2015-07-03 Liliana Borcea , Ilker Kocyigit

We analyze representative ill-posed scenarios of tomographic PIV with a focus on conditions for unique volume reconstruction. Based on sparse random seedings of a region of interest with small particles, the corresponding systems of linear…

数值分析 · 数学 2012-09-20 Stefania Petra , Christoph Schnörr , Andreas Schröder

The estimation of modal parameters from a set of noisy measured data is a highly judgmental task, with user expertise playing a significant role in distinguishing between estimated physical and noise modes of a test-piece. Various methods…

应用统计 · 统计学 2017-09-13 Vahid Yaghoubi , Majid K. Vakilzadeh , Thomas J. S. Abrahamsson

Bottleneck autoencoders have been actively researched as a solution to image compression tasks. However, we observed that bottleneck autoencoders produce subjectively low quality reconstructed images. In this work, we explore the ability of…

计算机视觉与模式识别 · 计算机科学 2018-01-25 Yijing Watkins , Mohammad Sayeh , Oleksandr Iaroshenko , Garrett Kenyon

We propose an image deconvolution algorithm when the data is contaminated by Poisson noise. The image to restore is assumed to be sparsely represented in a dictionary of waveforms such as the wavelet or curvelet transform. Our key…

最优化与控制 · 数学 2008-03-25 François-Xavier Dupé , Jalal Fadili , Jean Luc Starck

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

This paper describes a novel technique for promoting sparsity in the modified filtered-x algorithms required for active noise control. The proposed algorithms are based on recent techniques incorporating approximations to the \ell_0-norm in…

声音 · 计算机科学 2014-05-28 A. Gully , R. C. de Lamare

Sparse-view computed tomography (CT) enables fast and low-dose CT imaging, an essential feature for patient-save medical imaging and rapid non-destructive testing. In sparse-view CT, only a few projection views are acquired, causing…

图像与视频处理 · 电气工程与系统科学 2024-02-28 Nadja Gruber , Johannes Schwab , Elke Gizewski , Markus Haltmeier

The measurement of shape parameters of sources in astronomical images is usually performed by assuming that the underlying noise is uncorrelated. Spatial noise correlation is however present in practice due to various observational effects…

天体物理学 · 物理学 2007-05-23 A. Refregier , S. T. Brown

The problem of consistently estimating the sparsity pattern of a vector $\betastar \in \real^\mdim$ based on observations contaminated by noise arises in various contexts, including subset selection in regression, structure estimation in…

统计理论 · 数学 2007-07-13 Martin J. Wainwright

Noninvasive reconstruction of cardiac electrical activity from surface electrocardiograms (ECG) involves solving an ill-posed inverse problem. Cardiac electrophysiological (EP) models have been used as important a priori knowledge to…

图像与视频处理 · 电气工程与系统科学 2019-05-14 Sandesh Ghimire , John L Sapp , Milan Horacek , Linwei Wang

Sparse Autoencoders (SAEs) have emerged as a predominant tool in mechanistic interpretability, aiming to identify interpretable monosemantic features. However, how does sparse encoding organize the representations of activation vector from…

机器学习 · 计算机科学 2025-05-29 Wenjie Sun , Bingzhe Wu , Zhile Yang , Chengke Wu

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…

计算机视觉与模式识别 · 计算机科学 2025-05-16 Chenwei Zhang , Khanh Dao Duc

Transformations for enhancing sparsity in the approximation of color images by 2D atomic decomposition are discussed. The sparsity is firstly considered with respect to the most significant coefficients in the wavelet decomposition of the…

图像与视频处理 · 电气工程与系统科学 2021-05-17 Laura Rebollo-Neira , Aurelien Inacio

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…

计算机视觉与模式识别 · 计算机科学 2023-07-18 Bongjin Koo , Julien Martel , Ariana Peck , Axel Levy , Frédéric Poitevin , Nina Miolane

Blind image restoration is a non-convex problem which involves restoration of images from an unknown blur kernel. The factors affecting the performance of this restoration are how much prior information about an image and a blur kernel are…

计算机视觉与模式识别 · 计算机科学 2015-12-15 Chia-Chen Lee , Wen-Liang Hwang