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In Computational Fluid Dynamics (CFD), coarse mesh simulations offer computational efficiency but often lack precision. Applying conventional super-resolution to these simulations poses a significant challenge due to the fundamental…

We present a combined numerical and data-driven workflow for efficient prediction of nonlinear, instationary convection-diffusion-reaction dynamics on a two-dimensional phenotypic domain, motivated by macroscopic modeling of cancer cell…

Computational Engineering, Finance, and Science · Computer Science 2026-02-02 Michael Urs Lars Kastor , Jan Rottmayer , Anna Hundertmark , Nicolas Ralph Gauger

Laser-directed-energy deposition (DED) offers advantages in additive manufacturing (AM) for creating intricate geometries and material grading. Yet, challenges like material inconsistency and part variability remain, mainly due to its…

Machine Learning · Computer Science 2024-02-28 Vispi Karkaria , Anthony Goeckner , Rujing Zha , Jie Chen , Jianjing Zhang , Qi Zhu , Jian Cao , Robert X. Gao , Wei Chen

High fidelity representation of shapes with arbitrary topology is an important problem for a variety of vision and graphics applications. Owing to their limited resolution, classical discrete shape representations using point clouds, voxels…

Computer Vision and Pattern Recognition · Computer Science 2020-12-15 Rahul Venkatesh , Sarthak Sharma , Aurobrata Ghosh , Laszlo Jeni , Maneesh Singh

Current approaches for time series forecasting, whether in the time or frequency domain, predominantly use deep learning models based on linear layers or transformers. They often encode time series data in a black-box manner and rely on…

Machine Learning · Computer Science 2025-10-14 Cheng He , Xijie Liang , Zengrong Zheng , Patrick P. C. Lee , Xu Huang , Zhaoyi Li , Hong Xie , Defu Lian , Enhong Chen

With this work, we release CLAIRE, a distributed-memory implementation of an effective solver for constrained large deformation diffeomorphic image registration problems in three dimensions. We consider an optimal control formulation. We…

Optimization and Control · Mathematics 2020-09-01 Andreas Mang , Amir Gholami , Christos Davatzikos , George Biros

Neural 3D implicit representations learn priors that are useful for diverse applications, such as single- or multiple-view 3D reconstruction. A major downside of existing approaches while rendering an image is that they require evaluating…

Computer Vision and Pattern Recognition · Computer Science 2023-12-20 Tarun Yenamandra , Ayush Tewari , Nan Yang , Florian Bernard , Christian Theobalt , Daniel Cremers

We propose a non-intrusive method to build surrogate models that approximate the solution of parameterized partial differential equations (PDEs), capable of taking into account the dependence of the solution on the shape of the…

Numerical Analysis · Mathematics 2024-09-20 Linying Zhang , Stefano Pagani , Jun Zhang , Francesco Regazzoni

In this work, we present a conditional denoising-diffusion surrogate for electromagnetic calorimeter showers that is trained to generate high-fidelity energy-deposition maps conditioned on key detector and beam parameters. The model employs…

Operator-based neural network architectures such as DeepONets have emerged as a promising tool for the surrogate modeling of physical systems. In general, towards operator surrogate modeling, the training data is generated by solving the…

Machine Learning · Computer Science 2024-02-28 Shivam Choubey , Birupaksha Pal , Manish Agrawal

The intersection of Astronomy and AI encounters significant challenges related to issues such as noisy backgrounds, lower resolution (LR), and the intricate process of filtering and archiving images from advanced telescopes like the James…

Computer Vision and Pattern Recognition · Computer Science 2024-05-24 Mohammed Talha Alam , Raza Imam , Mohsen Guizani , Fakhri Karray

We investigate the use of reduced-order modelling to run discrete element simulations at higher speeds. Taking a data-driven approach, we run many offline simulations in advance and train a model to predict the velocity field from the mass…

Computational Physics · Physics 2021-03-02 Erik Wallin , Martin Servin

Deep learning has become an increasingly popular and powerful methodology for modern pattern recognition systems. However, many deep neural networks have millions or billions of parameters, making them untenable for real-world applications…

Machine Learning · Computer Science 2022-02-14 Manoj Alwani , Yang Wang , Vashisht Madhavan

Computational fluid dynamics (CFD) provides high-fidelity simulations of fluid flows but remains computationally expensive for many-query applications. In recent years deep learning (DL) has been used to construct data-driven fluid-dynamic…

Machine Learning · Computer Science 2026-04-13 David Ramos , Lucas Lacasa , Fermín Gutiérrez , Eusebio Valero , Gonzalo Rubio

The accurate prediction of flow fields around airfoils is crucial for aerodynamic design and optimisation. Computational Fluid Dynamics (CFD) models are effective but computationally expensive, thus inspiring the development of surrogate…

Machine Learning · Computer Science 2025-11-19 Kenechukwu Ogbuagu , Sepehr Maleki , Giuseppe Bruni , Senthil Krishnababu

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

Many physics and engineering applications demand Partial Differential Equations (PDE) property evaluations that are traditionally computed with resource-intensive high-fidelity numerical solvers. Data-driven surrogate models provide an…

Machine Learning · Computer Science 2023-12-18 Raphaël Pestourie , Youssef Mroueh , Chris Rackauckas , Payel Das , Steven G. Johnson

We present a machine-learning strategy for finite element analysis of solid mechanics wherein we replace complex portions of a computational domain with a data-driven surrogate. In the proposed strategy, we decompose a computational domain…

Numerical Analysis · Mathematics 2023-10-24 Eric Parish , Payton Lindsay , Timothy Shelton , John Mersch

We present a fast and accurate data-driven surrogate model for divertor plasma detachment prediction leveraging the latent feature space concept in machine learning research. Our approach involves constructing and training two neural…

An image-based deep learning framework is developed in this paper to predict damage and failure in microstructure-dependent composite materials. The work is motivated by the complexity and computational cost of high-fidelity simulations of…

Machine Learning · Computer Science 2022-06-07 Reza Sepasdar , Anuj Karpatne , Maryam Shakiba