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The regularity of images generated by convolutional neural networks, such as the U-net, generative networks, or the deep image prior, is analyzed. In a resolution-independent, infinite dimensional setting, it is shown that such images,…

计算机视觉与模式识别 · 计算机科学 2023-03-28 Andreas Habring , Martin Holler

Galaxy formation and evolution critically depend on understanding the complex photo-chemical processes that govern the evolution and thermodynamics of the InterStellar Medium (ISM). Computationally, solving chemistry is among the most heavy…

星系天体物理 · 物理学 2024-02-21 Lorenzo Branca , Andrea Pallottini

Simulating abundances of stable water isotopologues, i.e. molecules differing in their isotopic composition, within climate models allows for comparisons with proxy data and, thus, for testing hypotheses about past climate and validating…

大气与海洋物理 · 物理学 2023-11-28 Jonathan Wider , Jakob Kruse , Nils Weitzel , Janica C. Bühler , Ullrich Köthe , Kira Rehfeld

Field-of-view and resolution trade-offs in X-Ray micro-computed tomography (micro-CT) imaging limit the characterization, analysis and model development of multi-scale porous systems. To this end, we developed an applied methodology…

地球物理 · 物理学 2022-03-17 Samuel J. Jackson , Yufu Niu , Sojwal Manoorkar , Peyman Mostaghimi , Ryan T. Armstrong

Molecular dynamics simulations are a cornerstone in science, allowing to investigate from the system's thermodynamics to analyse intricate molecular interactions. In general, to create extended molecular trajectories can be a…

计算物理 · 物理学 2022-06-22 Ludwig Winkler , Klaus-Robert Müller , Huziel E. Sauceda

Building on top of the success in AI-based atmospheric emulation, we propose an AI-based ocean emulation and downscaling framework focusing on the high-resolution regional ocean over Gulf of Mexico. Regional ocean emulation presents unique…

Classical reduced models are low-rank approximations using a fixed basis designed to achieve dimensionality reduction of large-scale systems. In this work, we introduce reduced deep networks, a generalization of classical reduced models…

数值分析 · 数学 2020-07-29 Donsub Rim , Luca Venturi , Joan Bruna , Benjamin Peherstorfer

We present a method for parametrizing sub-grid processes in the Shallow Water equations. We define coarse variables and local spatial averages and use a feed-forward neural network to learn sub-grid fluxes. Our method results in a local…

流体动力学 · 物理学 2026-05-06 Md Amran Hossan Mojamder , Zhihang Xu , Min Wang , Ilya Timofeyev

Analyzing large-scale data from simulations of turbulent flows is memory intensive, requiring significant resources. This major challenge highlights the need for data compression techniques. In this study, we apply a physics-informed Deep…

流体动力学 · 物理学 2022-04-20 Mohammadreza Momenifar , Enmao Diao , Vahid Tarokh , Andrew D. Bragg

Recent attempts to use deep learning for super-resolution reconstruction of turbulent flows have used supervised learning, which requires paired data for training. This limitation hinders more practical applications of super-resolution…

流体动力学 · 物理学 2021-02-03 Hyojin Kim , Junhyuk Kim , Sungjin Won , Changghoon Lee

Deep metric learning for vision is trained by optimizing a representation network to map (non-)matching image pairs to (non-)similar representations. During testing, which typically corresponds to image retrieval, both database and query…

计算机视觉与模式识别 · 计算机科学 2022-10-12 Pavel Suma , Giorgos Tolias

Finite element methods typically require a high resolution to satisfactorily approximate micro and even macro patterns of an underlying physical model. This issue can be circumvented by appropriate multiscale strategies that are able to…

数值分析 · 数学 2025-12-24 Zhi-Song Liu , Roland Maier , Andreas Rupp

The solution to partial differential equations using deep learning approaches has shown promising results for several classes of initial and boundary-value problems. However, their ability to surpass, particularly in terms of accuracy,…

数值分析 · 数学 2023-08-23 Ziad Aldirany , Régis Cottereau , Marc Laforest , Serge Prudhomme

Hydrodynamical simulations play a fundamental role in modern cosmological research, serving as a crucial bridge between theoretical predictions and observational data. However, due to their computational intensity, these simulations are…

宇宙学与河外天体物理 · 物理学 2025-03-12 Andrés Caro , Daniel de Andres , Weiguang Cui , Gustavo Yepes , Marco De Petris , Antonio Ferragamo , Félicien Schiltz , Amélie Nef

The current learning process of deep learning, regardless of any deep neural network (DNN) architecture and/or learning algorithm used, is essentially a single resolution training. We explore multiresolution learning and show that…

机器学习 · 计算机科学 2023-09-29 Hongyan Zhou , Yao Liang

We propose a lightweight deep convolutional neural network (lCNN) to estimate cosmological parameters from simulated three-dimensional dark matter (DM) halo distributions and associated statistics. The training dataset comprises 2000…

宇宙学与河外天体物理 · 物理学 2024-09-20 Zhiwei Min , Xu Xiao , Jiacheng Ding , Liang Xiao , Jie Jiang , Donglin Wu , Qiufan Lin , Yang Wang , Shuai Liu , Zhixin Chen , Xiangru Li , Jinqu Zhang , Le Zhang , Xiao-Dong Li

Achieving efficient, high-fidelity, high-resolution garment simulation is challenging due to its computational demands. Conversely, low-resolution garment simulation is more accessible and ideal for low-budget devices like smartphones. In…

计算机视觉与模式识别 · 计算机科学 2024-12-10 Meng Zhang , Jun Li

We demonstrate how deep convolutional neural networks can be trained to predict 2+1 D hydrodynamic simulation results for flow coefficients, mean-transverse-momentum and charged particle multiplicity from the initial energy density profile.…

高能物理 - 唯象学 · 物理学 2024-04-04 H. Hirvonen , K. J. Eskola , H. Niemi

We explore the suitability of deep learning to capture the physics of subgrid-scale ideal magnetohydrodynamics turbulence of 2-D simulations of the magnetized Kelvin-Helmholtz instability. We produce simulations at different resolutions to…

计算物理 · 物理学 2020-08-27 Shawn G. Rosofsky , E. A. Huerta

Simulating reactive dissolution of solid minerals in porous media has many subsurface applications, including carbon capture and storage (CCS), geothermal systems and oil & gas recovery. As traditional direct numerical simulators are…

机器学习 · 计算机科学 2025-12-16 Marcos Cirne , Hannah Menke , Alhasan Abdellatif , Julien Maes , Florian Doster , Ahmed H. Elsheikh