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In this work we combine the framework of the Reduced Basis method (RB) with the framework of the Localized Orthogonal Decomposition (LOD) in order to solve parametrized elliptic multiscale problems. The idea of the LOD is to split a high…

数值分析 · 数学 2015-05-20 Assyr Abdulle , Patrick Henning

A key step in reverse engineering neural networks is to decompose them into simpler parts that can be studied in relative isolation. Linear parameter decomposition -- a framework that has been proposed to resolve several issues with current…

机器学习 · 计算机科学 2025-09-05 Lucius Bushnaq , Dan Braun , Lee Sharkey

Dynamic Mode Decomposition (DMD) yields a linear, approximate model of a system's dynamics that is built from data. We seek to reduce the order of this model by identifying a reduced set of modes that best fit the output. We adopt a model…

机器学习 · 统计学 2020-01-20 John Graff , Xianzhang Xu , Francis D. Lagor , Tarunraj Singh

Most current sampling algorithms for high-dimensional distributions are based on MCMC techniques and are approximate in the sense that they are valid only asymptotically. Rejection sampling, on the other hand, produces valid samples, but is…

人工智能 · 计算机科学 2012-07-04 Marc Dymetman , Guillaume Bouchard , Simon Carter

Optimal recursive decomposition (or DR-planning) is crucial for analyzing, designing, solving or finding realizations of geometric constraint sytems. While the optimal DR-planning problem is NP-hard even for general 2D bar-joint constraint…

计算几何 · 计算机科学 2015-07-07 Troy Baker , Meera Sitharam , Menghan Wang , Joel Willoughby

We propose, analyze and realize a variational multiclass segmentation scheme that partitions a given image into multiple regions exhibiting specific properties. Our method determines multiple functions that encode the segmentation regions…

计算机视觉与模式识别 · 计算机科学 2023-09-19 Nadja Gruber , Johannes Schwab , Sebastien Court , Elke Gizewski , Markus Haltmeier

This work focuses on 3D Radar imaging inverse problems. Current methods obtain undifferentiated results that suffer task-depended information retrieval loss and thus don't meet the task's specific demands well. For example, biased…

信号处理 · 电气工程与系统科学 2022-11-29 Xu Zhan , Xiaoling Zhang , Mou Wang , Jun Shi , Shunjun Wei , Tianjiao Zeng

Recent advancements in multi-modal large language models have propelled the development of joint probabilistic models capable of both image understanding and generation. However, we have identified that recent methods suffer from loss of…

计算机视觉与模式识别 · 计算机科学 2025-06-05 Jian Yang , Dacheng Yin , Yizhou Zhou , Fengyun Rao , Wei Zhai , Yang Cao , Zheng-Jun Zha

When a fault occurs in nuclear facilities, accurately reconstructing gamma radiation fields through measurements from the mobile radiation detection (MRD) system becomes crucial to enable access to internal facility areas for essential…

医学物理 · 物理学 2025-05-13 Kai Tan , Hojoon Son , Fan Zhang

In spite of the high accuracy of the existing optical mark reading (OMR) systems and devices, a few restrictions remain existent. In this work, we aim to reduce the restrictions of multiple choice questions (MCQ) within tests. We use an…

计算机视觉与模式识别 · 计算机科学 2019-01-15 Mahmoud Afifi , Khaled F. Hussain

Magnetic Resonance Imaging (MRI) is a powerful imaging technique widely used for visualizing structures within the human body and in other fields such as plant sciences. However, there is a demand to develop fast 3D-MRI reconstruction…

图像与视频处理 · 电气工程与系统科学 2025-12-09 Arya Bangun , Zhuo Cao , Alessio Quercia , Hanno Scharr , Elisabeth Pfaehler

The aim of this work is to present a model reduction technique in the framework of optimal control problems for partial differential equations. We combine two approaches used for reducing the computational cost of the mathematical numerical…

数值分析 · 数学 2023-11-09 Ivan Prusak , Monica Nonino , Davide Torlo , Francesco Ballarin , Gianluigi Rozza

Dual-energy computed tomography (DECT) has been widely used in many applications that need material decomposition. Image-domain methods directly decompose material images from high- and low-energy attenuation images, and thus, are…

图像与视频处理 · 电气工程与系统科学 2022-01-25 Zhipeng Li , Yong Long , Il Yong Chun

This paper is concerned with the problem of low rank plus sparse matrix decomposition for big data. Conventional algorithms for matrix decomposition use the entire data to extract the low-rank and sparse components, and are based on…

数值分析 · 计算机科学 2017-03-17 Mostafa Rahmani , George Atia

Multi-spectral computed tomography is an emerging technology for the non-destructive identification of object materials and the study of their physical properties. Applications of this technology can be found in various scientific and…

计算机视觉与模式识别 · 计算机科学 2018-10-30 Christian Kehl , Wail Mustafa , Jan Kehres , Anders Bjorholm Dahl , Ulrik Lund Olsen

With the advent of multi-coil imaging and compressed sensing, a number of model based reconstruction algorithms have been created. They incorporate a multitude of different regularization functions based on physics, observed phenomenology,…

图像与视频处理 · 电气工程与系统科学 2023-02-03 Nicholas Dwork , Ethan M. I. Johnson , Daniel O'Connor , Jeremy W. Gordon , Adam B. Kerr , Corey A. Baron , John M. Pauly , Peder E. Z. Larson

Magnetic resonance imaging (MRI) tasks often involve multiple contrasts. Recently, numerous deep learning-based multi-contrast MRI super-resolution (SR) and reconstruction methods have been proposed to explore the complementary information…

图像与视频处理 · 电气工程与系统科学 2024-01-25 Pengcheng Lei , Faming Fang , Guixu Zhang , Ming Xu

Current deep neural network based approaches to computed tomography (CT) metal artifact reduction (MAR) are supervised methods which rely heavily on synthesized data for training. However, as synthesized data may not perfectly simulate the…

图像与视频处理 · 电气工程与系统科学 2019-12-02 Haofu Liao , Wei-An Lin , Jianbo Yuan , S. Kevin Zhou , Jiebo Luo

Control theory has recently been involved in the field of nuclear magnetic resonance imagery. The goal is to control the magnetic field optimally in order to improve the contrast between two biological matters on the pictures. Geometric…

符号计算 · 计算机科学 2017-07-07 Bernard Bonnard , Jean-Charles Faugère , Alain Jacquemard , Mohab Safey El Din , Thibaut Verron

Despite its exceptional soft tissue contrast, Magnetic Resonance Imaging (MRI) faces the challenge of long scanning times compared to other modalities like X-ray radiography. Shortening scanning times is crucial in clinical settings, as it…

机器学习 · 计算机科学 2023-12-08 Thomas Sanchez