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Modeling future traffic conditions often relies heavily on complex spatial-temporal neural networks to capture spatial and temporal correlations, which can overlook the inherent noise in the data. This noise, often manifesting as unexpected…

Machine Learning · Computer Science 2023-10-26 Yuanshao Zhu , Yongchao Ye , Xiangyu Zhao , James J. Q. Yu

Motivated by recent experiments and models of biological segmentation, we analyze the exicitation of pattern-forming instabilities of convectively unstable reaction-diffusion-advection (RDA) systems, occuring by means of constant or…

Pattern Formation and Solitons · Physics 2009-11-10 Patrick N. McGraw , Michael Menzinger

Modern nonlinear control theory seeks to endow systems with properties such as stability and safety, and has been deployed successfully across various domains. Despite this success, model uncertainty remains a significant challenge in…

Systems and Control · Electrical Eng. & Systems 2021-04-02 Andrew J. Taylor , Victor D. Dorobantu , Sarah Dean , Benjamin Recht , Yisong Yue , Aaron D. Ames

A machine learning method to predict steady external fluid flows using elliptic input features is introduced. Using data from as few as one high-fidelity simulation, the proposed method produces models generalizable under changes to…

Scientific machine learning is increasingly used to build surrogate models, yet most models are trained under a restrictive assumption in which future data follow the same distribution as the training set. In practice, new experimental…

Machine Learning · Computer Science 2026-04-20 Mahmoud Elhadidy , Roshan M. D'Souza , Amirhossein Arzani

In computational fluid dynamics, there is an inevitable trade off between accuracy and computational cost. In this work, a novel multi-fidelity deep generative model is introduced for the surrogate modeling of high-fidelity turbulent flow…

Computational Physics · Physics 2021-01-12 Nicholas Geneva , Nicholas Zabaras

Predicting the microstructural and morphological evolution of materials through phase-field modelling is computationally intensive, particularly for high-throughput parametric studies. While neural operators such as the Fourier neural…

Machine Learning · Computer Science 2026-03-11 Nanxi Chen , Airong Chen , Rujin Ma

The current work is concerned with studying processes for constructing reduced-order models capable of performing transonic aeroelastic stability analyses in the frequency domain based on computational fluid dynamics (CFD) techniques. The…

Fluid Dynamics · Physics 2023-07-21 Ana Cristina Neves Carloni , João Luiz F. Azevedo

Taming the generation outcome of state of the art Diffusion and Flow-Matching (FM) models without having to re-train a task-specific model unlocks a powerful tool for solving inverse problems, conditional generation, and controlled…

Machine Learning · Computer Science 2024-07-23 Heli Ben-Hamu , Omri Puny , Itai Gat , Brian Karrer , Uriel Singer , Yaron Lipman

Urban microclimate, encompassing wind and temperature fields shaped by building geometry, significantly impacts energy consumption, pedestrian winds, pollutant dispersion, urban heat island, and public health. Accurately predicting…

Fluid Dynamics · Physics 2026-05-21 Shaoxiang Qin , Theodore Potsis , Dongxue Zhan , Xue Liu , Ted Stahopoulos , Liangzhu Leon Wang

Partial differential equations (PDEs) govern a wide variety of dynamical processes in science and engineering, yet obtaining their numerical solutions often requires high-resolution discretizations and repeated evaluations of complex…

Machine Learning · Computer Science 2026-01-26 Valentin Duruisseaux , Jean Kossaifi , Anima Anandkumar

One of the main problems encountered with Free Space Optical (FSO) Communication system is the atmospheric turbulence. Although many solutions exist for combating this effect, they have either high complexity or low performance. In this…

Signal Processing · Electrical Eng. & Systems 2019-12-30 M. A. Amirabadi

A novel hybrid deep neural network architecture is designed to capture the spatial-temporal features of unsteady flows around moving boundaries directly from high-dimensional unsteady flow fields data. The hybrid deep neural network is…

Computational Physics · Physics 2020-06-02 Renkun Han , Zhong Zhang , Yixing Wang , Ziyang Liu , Yang Zhang , Gang Chen

Accurate short-term predictions of phase-resolved water wave conditions are crucial for decision-making in ocean engineering. However, the initialization of remote-sensing-based wave prediction models first requires a reconstruction of wave…

Atmospheric and Oceanic Physics · Physics 2024-01-11 Svenja Ehlers , Marco Klein , Alexander Heinlein , Mathies Wedler , Nicolas Desmars , Norbert Hoffmann , Merten Stender

Autoencoders and generative neural network models have recently gained popularity in fluid mechanics due to their spontaneity and low processing time instead of high fidelity CFD simulations. Auto encoders are used as model order reduction…

Fluid Dynamics · Physics 2022-03-04 Kanishk , Tanishk Nandal , Prince Tyagi , Raj Kumar Singh

Incorporating computational fluid dynamics in the design process of jets, spacecraft, or gas turbine engines is often challenged by the required computational resources and simulation time, which depend on the chosen physics-based…

Computational Physics · Physics 2019-12-09 Cristina White , Daniela Ushizima , Charbel Farhat

Solving partial differential equations remains a central challenge in scientific machine learning. Neural operators offer a promising route by learning mappings between function spaces and enabling resolution-independent inference, yet they…

Machine Learning · Computer Science 2026-02-03 Paolo Marcandelli , Natansh Mathur , Stefano Markidis , Martina Siena , Stefano Mariani

A convolutional encoder-decoder-based transformer model is proposed for autoregressively training on spatio-temporal data of turbulent flows. The prediction of future fluid flow fields is based on the previously predicted fluid flow field…

Fluid Dynamics · Physics 2023-03-31 Aakash Patil , Jonathan Viquerat , Elie Hachem

Generalizability of machine-learning (ML) based turbulence closures to accurately predict unseen practical flows remains an important challenge. At the Reynolds-averaged Navier-Stokes (RANS) level, NN-based turbulence closure modeling is…

Fluid Dynamics · Physics 2021-12-15 Salar Taghizadeh , Freddie Witherden , Yassin Hassan , Sharath Girimaji

Data-driven methods have emerged as powerful tools for modeling the responses of complex nonlinear materials directly from experimental measurements. Among these methods, the data-driven constitutive models present advantages in physical…

Machine Learning · Computer Science 2025-05-05 Jihong Wang , Xiaochuan Tian , Zhongqiang Zhang , Stewart Silling , Siavash Jafarzadeh , Yue Yu