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By combining AI and fluid physics, we discover a closed-form closure for 2D turbulence from small direct numerical simulation (DNS) data. Large-eddy simulation (LES) with this closure is accurate and stable, reproducing DNS statistics…

Atmospheric and Oceanic Physics · Physics 2026-01-21 Karan Jakhar , Yifei Guan , Pedram Hassanzadeh

Machine learning algorithms have become indispensable in today's world. They support and accelerate the way we make decisions based on the data at hand. This acceleration means that data structures that were valid at one moment could no…

Machine Learning · Computer Science 2025-02-11 Cedric Kulbach , Lucas Cazzonelli , Hoang-Anh Ngo , Minh-Huong Le-Nguyen , Albert Bifet

Implicit layer deep learning techniques, like Neural Differential Equations, have become an important modeling framework due to their ability to adapt to new problems automatically. Training a neural differential equation is effectively a…

Machine Learning · Computer Science 2023-06-05 Avik Pal , Alan Edelman , Chris Rackauckas

Distributed deep learning systems (DDLS) train deep neural network models by utilizing the distributed resources of a cluster. Developers of DDLS are required to make many decisions to process their particular workloads in their chosen…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-07-09 Matthias Langer , Zhen He , Wenny Rahayu , Yanbo Xue

A closure model is presented for large-eddy simulation (LES) based on the three-dimensional variational data assimilation algorithm. The approach aims at reconstructing high-fidelity kinetic energy spectra in coarse numerical simulations by…

Fluid Dynamics · Physics 2024-07-02 Sagy Ephrati , Arnout Franken , Erwin Luesink , Paolo Cifani , Bernard Geurts

Multi-fidelity optimization methods promise a high-fidelity optimum at a cost only slightly greater than a low-fidelity optimization. This promise is seldom achieved in practice, due to the requirement that low- and high-fidelity models…

Computational Physics · Physics 2021-01-29 Yu Zhang , Richard P. Dwight , Martin Schmelzer , Javier F. Gomez , Stefan Hickel , Zhong-hua Han

Deep Learning (DL) techniques are now widespread and being integrated into many important systems. Their classification and recognition abilities ensure their relevance for multiple application domains. As machine-learning that relies on…

Software Engineering · Computer Science 2019-02-01 Gaetan J. D. R. Hains , Arvid Jakobsson , Youry Khmelevsky

The increased use of deep learning (DL) in academia, government and industry has, in turn, led to the popularity of on-premise and cloud-hosted deep learning platforms, whose goals are to enable organizations utilize expensive resources…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-06-25 Vaibhav Saxena , K. R. Jayaram , Saurav Basu , Yogish Sabharwal , Ashish Verma

Simulations of turbulent fluid flow around long cylindrical structures are computationally expensive because of the vast range of length scales, requiring simplifications such as dimensional reduction. Current dimensionality reduction…

Fluid Dynamics · Physics 2021-02-25 Bernat Font , Gabriel D. Weymouth , Vinh-Tan Nguyen , Owen R. Tutty

We present efficient deep learning techniques for approximating flow and transport equations for both single phase and two-phase flow problems. The proposed methods take advantages of the sparsity structures in the underlying discrete…

Numerical Analysis · Mathematics 2020-01-08 Yating Wang , Guang Lin

Droplet growth and size spectra play a crucial role in the microphysics of atmospheric clouds. However, it is challenging to represent droplet growth rate accurately in cloud-resolving models such as Large Eddy Simulations (LESs). The…

Fluid Dynamics · Physics 2024-10-21 Divyaprakash , Nikita N. Makwana , Amitabh Bhattacharya , Bipin Kumar

Deep learning (DL) approaches have demonstrated high performance in compressing and reconstructing the channel state information (CSI) and reducing the CSI feedback overhead in massive MIMO systems. One key challenge, however, with the DL…

Information Theory · Computer Science 2024-03-04 Shuaifeng Jiang , Ahmed Alkhateeb

Deep Learning (DL) is a machine learning procedure for artificial intelligence that analyzes the input data in detail by increasing neuron sizes and number of the hidden layers. DL has a popularity with the common improvements on the…

Machine Learning · Computer Science 2021-01-26 Gokhan Altan , Yakup Kutlu

Recent research has used deep learning to develop partial differential equation (PDE) models in science and engineering. The functional form of the PDE is determined by a neural network, and the neural network parameters are calibrated to…

Machine Learning · Computer Science 2023-10-17 Justin Sirignano , Jonathan MacArt , Konstantinos Spiliopoulos

The proliferation of complex deep learning (DL) models has revolutionized various applications, including computer vision-based solutions, prompting their integration into real-time systems. However, the resource-intensive nature of these…

Hardware Architecture · Computer Science 2024-06-26 Tushar Prasanna Swaminathan , Christopher Silver , Thangarajah Akilan

Water distribution systems (WDSs) are an important part of critical infrastructure becoming increasingly significant in the face of climate change and urban population growth. We propose a robust and scalable surrogate deep learning (DL)…

Neural and Evolutionary Computing · Computer Science 2025-02-19 Inaam Ashraf , André Artelt , Barbara Hammer

Deep Learning (DL) models can be used to tackle time series analysis tasks with great success. However, the performance of DL models can degenerate rapidly if the data are not appropriately normalized. This issue is even more apparent when…

Computational Finance · Quantitative Finance 2019-09-24 Nikolaos Passalis , Anastasios Tefas , Juho Kanniainen , Moncef Gabbouj , Alexandros Iosifidis

Deep neural networks (DNNs) have recently achieved impressive success across a wide range of real-world vision and language processing tasks, spanning from image classification to many other downstream vision tasks, such as object…

Machine Learning · Computer Science 2025-12-23 Xiangzhong Luo , Di Liu , Hao Kong , Shuo Huai , Hui Chen , Guochu Xiong , Weichen Liu

Deep Learning (DL) has had an immense success in the recent past, leading to state-of-the-art results in various domains such as image recognition and natural language processing. One of the reasons for this success is the increasing size…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-09-26 Ruben Mayer , Hans-Arno Jacobsen

Large-eddy simulation developments and validations are presented for an improved simulation of turbulent internal flows. Numerical methods are proposed according to two competing criteria: numerical qualities (precision and spectral…

Fluid Dynamics · Physics 2008-01-15 Jérôme Boudet , Joëlle Caro , L. Shao , Emmanuel Lévêque