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We introduce a novel data reconstruction algorithm known as Gappy auto-encoder (Gappy AE) to address the limitations associated with Gappy proper orthogonal decomposition (Gappy POD), a widely used method for data reconstruction when…

计算物理 · 物理学 2025-11-06 Youngkyu Kim , Youngsoo Choi , Byounghyun Yoo

Echo State Networks (ESN) are a type of Recurrent Neural Network that yields promising results in representing time series and nonlinear dynamic systems. Although they are equipped with a very efficient training procedure, Reservoir…

机器学习 · 计算机科学 2023-05-29 Jean Panaioti Jordanou , Eric Aislan Antonelo , Eduardo Camponogara , Eduardo Gildin

Reconstructing flow fields from sparse measurements is a fundamental problem in fluid mechanics with broad implications for modeling, control, and design. In this work, we propose a novel operator learning framework that leverages the…

计算工程、金融与科学 · 计算机科学 2026-05-25 Qian Zhang , George Em Karniadakis

Flow-field reconstruction from sparse sensor measurements remains a central challenge in modern fluid dynamics, as the need for high-fidelity data often conflicts with practical limits on sensor deployment. Existing deep learning-based…

计算工程、金融与科学 · 计算机科学 2026-05-15 Ruoyan Li , Guancheng Wan , Zijie Huang , Zixiao Liu , Haixin Wang , Xiao Luo , Wei Wang , Yizhou Sun

Model reduction using the proper orthogonal decomposition (POD) method is applied to the dynamics of ferroelastic patches to study the first order square to rectangular phase transformations. Governing equations for the system dynamics are…

材料科学 · 物理学 2007-05-23 Linxiang X. Wang , Roderick V. N. Melnik

Optimal sensor placement is a central challenge in the design, prediction, estimation, and control of high-dimensional systems. High-dimensional states can often leverage a latent low-dimensional representation, and this inherent…

最优化与控制 · 数学 2020-05-18 Krithika Manohar , Bingni W. Brunton , J. Nathan Kutz , Steven L. Brunton

Polar precipitation archived in ice caps contains information on past temperature conditions. Such information can be retrieved by measuring the water isotopic signals of $\delta{}^{18}\mathrm{O}$ and $\delta\mathrm{D}$ in ice cores. These…

地球物理 · 物理学 2018-02-06 Christian T. Holme , Vasileios Gkinis , Bo M. Vinther

Proton radiography is a technique extensively used to resolve magnetic field structures in high energy density plasmas, revealing a whole variety of interesting phenomena such as magnetic reconnection and collisionless shocks found in…

In aerospace and energy engineering, accurate 3D combustion field temperature measurement is critical. The resolution of traditional methods based on algebraic iteration is limited by the initial voxel division. This study introduces a…

图像与视频处理 · 电气工程与系统科学 2024-05-13 Shenxiang Feng , Xiaojian Hao , Xiaodong Huang , Pan Pei , Tong Wei , Chenyang Xu

Superheated steam is widely employed in various energy systems, particularly in power plants, chemical industries, and other applications where high-temperature and high-pressure steam is essential for efficient energy conversion and…

流体动力学 · 物理学 2025-03-07 Zhe-hui Ma , Hang-ye Zhang , Chuang Liu , Ming Zhang , Jin-yuan Qian

Sea Surface Temperature (SST) reconstructions from satellite images affected by cloud gaps have been extensively documented in the past three decades. Here we describe several Machine Learning models to fill the cloud-occluded areas…

计算机视觉与模式识别 · 计算机科学 2025-05-08 Andrea Asperti , Ali Aydogdu , Angelo Greco , Fabio Merizzi , Pietro Miraglio , Beniamino Tartufoli , Alessandro Testa , Nadia Pinardi , Paolo Oddo

The current study aims to develop a non-intrusive Reduced Order Model (ROM) to reconstruct the full temperature field for a large-scale industrial application based on both numerical and experimental datasets. The proposed approach is…

流体动力学 · 物理学 2025-08-29 Arash Hajisharifi , Rahul Halder , Michele Girfoglio , Giovanni Stabile , Gianluigi Rozza

Reconstructing high-resolution flow fields from sparse measurements is a major challenge in fluid dynamics. Existing methods often vectorize the flow by stacking different spatial directions on top of each other, hence confounding the…

流体动力学 · 物理学 2023-05-17 Mohammad Farazmand , Arvind K. Saibaba

Sea surface temperature (SST) is an essential climate variable that can be measured via ground truth, remote sensing, or hybrid model methodologies. Here, we celebrate SST surveillance progress via the application of a few relevant…

大气与海洋物理 · 物理学 2023-06-19 Albert Larson , Ali Shafqat Akanda

Dynamic mode decomposition (DMD) has recently become a popular tool for the non-intrusive analysis of dynamical systems. Exploiting Proper Orthogonal Decomposition (POD) as a dimensionality reduction technique, DMD is able to approximate a…

数值分析 · 数学 2024-01-17 Francesco Andreuzzi , Nicola Demo , Gianluigi Rozza

We propose a stable and fast reconstruction technique for parallel-beam (PB) tomographic X-ray imaging, relying on the discrete pseudo-polar (PP) Radon transform. Our main contribution is a resampling method, based on modern sampling…

数值分析 · 计算机科学 2018-03-29 Shahar Tsiper , Yonina C. Eldar

It is now well known that neural networks can be wrong with high confidence in their predictions, leading to poor calibration. The most common post-hoc approach to compensate for this is to perform temperature scaling, which adjusts the…

计算机视觉与模式识别 · 计算机科学 2022-07-25 Tom Joy , Francesco Pinto , Ser-Nam Lim , Philip H. S. Torr , Puneet K. Dokania

In the present work, we introduce a data-driven approach to enhance the accuracy of non-intrusive Reduced Order Models (ROMs). In particular, we focus on ROMs built using Proper Orthogonal Decomposition (POD) in an under-resolved and…

数值分析 · 数学 2026-05-26 Gabriele Codega , Anna Ivagnes , Nicola Demo , Gianluigi Rozza

Proton resonance frequency (PRF) based MR thermometry is essential for focused ultrasound (FUS) thermal ablation therapies. This work aims to enhance temporal resolution in dynamic MR temperature map reconstruction using an improved deep…

医学物理 · 物理学 2024-07-04 Sijie Xu , Shenyan Zong , Chang-Sheng Mei , Guofeng Shen , Yueran Zhao , He Wang

We present a method for combining proper orthogonal decomposition (POD) bases optimized with respect to different norms into a single complete basis. We produce a basis combining decompositions optimized with respect to turbulent kinetic…

流体动力学 · 物理学 2023-03-30 Peder J. Olesen , Azur Hodžić , Clara M. Velte