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We develop mask iterative hard thresholding algorithms (mask IHT and mask DORE) for sparse image reconstruction of objects with known contour. The measurements follow a noisy underdetermined linear model common in the compressive sampling…

机器学习 · 统计学 2011-12-05 Aleksandar Dogandzic , Renliang Gu , Kun Qiu

This paper presents a novel Direct Integration Theorem (DIT), derived as a non-trivial corollary of the classical Central Slice Theorem (CST). The DIT provides a mathematically consistent transition from the continuous to the discrete…

计算机视觉与模式识别 · 计算机科学 2026-05-14 Mikhail G. Mozerov

We consider the problem of signal reconstruction for computed tomography (CT) under a nonlinear forward model that accounts for exponential signal attenuation, a polychromatic X-ray source, general measurement noise (e.g., Poisson shot…

图像与视频处理 · 电气工程与系统科学 2026-02-12 Mengqi Lou , Kabir Aladin Verchand , Sara Fridovich-Keil , Ashwin Pananjady

Single particle cryo-electron microscopy has become a critical tool in structural biology over the last decade, able to achieve atomic scale resolution in three dimensional models from hundreds of thousands of (noisy) two-dimensional…

数值分析 · 数学 2023-07-19 Aaditya V. Rangan , Leslie Greengard

To combat the risk of nuclear smuggling, radiography systems are deployed at ports to scan cargo containers for concealed illicit materials. Dual energy radiography systems enable a rough elemental analysis of cargo containers due to the…

仪器与探测器 · 物理学 2024-12-11 Peter Lalor , Areg Danagoulian

Determining the three-dimensional structure of proteins and protein complexes at atomic resolution is a fundamental task in structural biology. Over the last decade, remarkable progress has been made using "single particle" cryo-electron…

数值分析 · 数学 2017-06-05 Alex Barnett , Leslie Greengard , Andras Pataki , Marina Spivak

The next generation of galaxy surveys like the Dark Energy Spectroscopic Instrument (DESI) and Euclid will provide datasets orders of magnitude larger than anything available to date. Our ability to model nonlinear effects in late time…

宇宙学与河外天体物理 · 物理学 2021-12-15 Atsuhisa Ota , Hee-Jong Seo , Shun Saito , Florian Beutler

A novel computational, non-iterative and noise-robust reconstruction method is introduced for the planar anisotropic inverse conductivity problem. The method is based on bypassing the unstable step of the reconstruction of the values of the…

偏微分方程分析 · 数学 2015-06-25 Sarah Jane Hamilton , Matti Lassas , Samuli Siltanen

Zeolites, as representative porous materials, possess intricate three-dimensional frameworks that endow them with high surface areas and remarkable catalytic properties. There are a few factors that give a huge influence on the catalytic…

材料科学 · 物理学 2025-04-25 Enci Zhang , Zhuoya Dong , Xubin Han , Jianhua Zhang , Yanhang Ma , Huaidong Jiang

The purpose of this paper is to propose a non-iterative method for the inverse conductivity problem of recovering multiple small anomalies from the boundary measurements. When small anomalies are buried in a conducting object, the electric…

偏微分方程分析 · 数学 2015-06-11 Ok Kyun Lee , Hyeonbae Kang , Jong Chul Ye , Mikyoung Lim

Cryo-electron microscopy (cryo-EM) has achieved near-atomic level resolution of biomolecules by reconstructing 2D micrographs. However, the resolution and accuracy of the reconstructed particles are significantly reduced due to the…

计算机视觉与模式识别 · 计算机科学 2024-01-03 Jing Zhang , Tengfei Zhao , ShiYu Hu , Xin Zhao

Symbolic regression (SR) seeks closed-form mathematical expressions that fit observed data. Neural SR methods amortize the search by training an encoder to map observations directly to expressions in a single pass, but this amortized…

机器学习 · 计算机科学 2026-05-27 Xieting Chu , Sriram Vishwanath , Vijay Ganesh

Real-world image super-resolution (Real-ISR) must handle complex degradations and inherent reconstruction ambiguities. While generative models have improved perceptual quality, a key trade-off remains with computational cost. One-step…

计算机视觉与模式识别 · 计算机科学 2025-10-23 Yun Kai Zhuang

Computed tomography (CT) involves a patient's exposure to ionizing radiation. To reduce the radiation dose, we can either lower the X-ray photon count or down-sample projection views. However, either of the ways often compromises image…

图像与视频处理 · 电气工程与系统科学 2023-10-12 Wenjun Xia , Yongyi Shi , Chuang Niu , Wenxiang Cong , Ge Wang

We present a systematic, quasi-automated methodology for generating electronic models in the framework of second-principles density functional theory (SPDFT). This approach enables the construction of accurate and computationally efficient…

Compared to traditional electromagnetic stealth (ES) materials, which are effective only within specific frequencies and orientations, intelligent reflecting surface (IRS) technology introduces a novel paradigm for achieving dynamic and…

信号处理 · 电气工程与系统科学 2025-03-10 Qingjie Wu , Beixiong Zheng , Guangchi Zhang , Derrick Wing Kwan Ng , A. Lee Swindlehurst

Finding sparse solutions of underdetermined systems of linear equations is a fundamental problem in signal processing and statistics which has become a subject of interest in recent years. In general, these systems have infinitely many…

机器学习 · 统计学 2010-09-21 Arash Ali Amini , Massoud Babaie-Zadeh , Christian Jutten

Accurate and high-efficiency film metrology remains a key challenge in High-Volume Manufacturing (HVM), where conventional spectroscopic reflectometry and white light interferometry (WLI) are either limited by model dependence or…

This paper discusses model order reduction of large sparse second-order index-3 differential algebraic equations (DAEs) by applying Iterative Rational Krylov Algorithm (IRKA). In general, such DAEs arise in constraint mechanics, multibody…

最优化与控制 · 数学 2021-01-11 Xin Du , M. Monir Uddiny , A. Mostakim Fonyz , Md. Tanzim Hossainx , Md. Nazmul Islam Shuzan

We study sparse recovery with structured random measurement matrices having independent, identically distributed, and uniformly bounded rows and with a nontrivial covariance structure. This class of matrices arises from random sampling of…

信息论 · 计算机科学 2020-05-15 Simone Brugiapaglia , Sjoerd Dirksen , Hans Christian Jung , Holger Rauhut