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Large-scale parallel numerical simulations are essential for a wide range of engineering problems that involve complex, coupled physical processes interacting across a broad range of spatial and temporal scales. The data structures involved…

Mathematical Software · Computer Science 2018-10-11 Fande Kong , Roy H. Stogner , Derek R. Gaston , John W. Peterson , Cody J. Permann , Andrew E. Slaughter , Richard C. Martineau

Machine learning methods are increasingly used to build computationally inexpensive surrogates for complex physical models. The predictive capability of these surrogates suffers when data are noisy, sparse, or time-dependent. As we are…

Machine Learning · Computer Science 2024-05-20 A. Diaw , M. McKerns , I. Sagert , L. G. Stanton , M. S. Murillo

Understanding structure-property relations is essential to optimally design materials for specific applications. Two-scale simulations are often employed to analyze the effect of the microstructure on a component's macroscopic properties.…

Computational Engineering, Finance, and Science · Computer Science 2022-10-25 Theron Guo , Francesco A. B. Silva , Ondřej Rokoš , Karen Veroy

Modern machine learning techniques are successfully being adapted to data modeled as graphs. However, many real-world graphs are typically very large and do not fit in memory, often making the problem of training machine learning models on…

Machine Learning · Computer Science 2020-12-10 Alexandra Angerd , Keshav Balasubramanian , Murali Annavaram

The ongoing development of quantum processors is driving breakthroughs in scientific discovery. Despite this progress, the formidable cost of fabricating large-scale quantum processors means they will remain rare for the foreseeable future,…

Quantum Physics · Physics 2025-07-24 Wei-You Liao , Yuxuan Du , Xinbiao Wang , Tian-Ci Tian , Yong Luo , Bo Du , Dacheng Tao , He-Liang Huang

Numerical simulations are a valuable research and layout tool for fluid flow problems, yet repeated evaluations of parametrized problems, necessary to solve optimization problems, can be very costly. One option to speed up this process is…

Fluid Dynamics · Physics 2025-02-28 Marian Staggl , Wolfgang Sanz , Paul Pieringer

Shallow water equations are the foundation of most models for flooding and river hydraulics analysis. These physics-based models are usually expensive and slow to run, thus not suitable for real-time prediction or parameter inversion. An…

Fluid Dynamics · Physics 2021-12-22 Yalan Song , Chaopeng Shen , Xiaofeng Liu

Solving complex problems requires continuous effort in developing theory and practice to cope with larger, more difficult scenarios. Working with surrogates is normal for creating a proxy that realistically models the problem into the…

Neural and Evolutionary Computing · Computer Science 2026-02-10 Tomohiro Harada , Enrique Alba , Gabriel Luque

Graph neural network (GNN) has been demonstrated to be a powerful model in many domains for its effectiveness in learning over graphs. To scale GNN training for large graphs, a widely adopted approach is distributed training which…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-04-19 Haiyang Lin , Mingyu Yan , Xiaocheng Yang , Mo Zou , Wenming Li , Xiaochun Ye , Dongrui Fan

Solving flow through porous media is a crucial step in the topology optimisation of cold plates, a key component in modern thermal management. Traditional computational fluid dynamics (CFD) methods, while accurate, are often prohibitively…

Fluid Dynamics · Physics 2026-03-10 Jinhong Wang , Matei C. Ignuta-Ciuncanu , Ricardo F. Martinez-Botas , Teng Cao

Graph Neural Networks (GNNs) have gained significant traction for simulating complex physical systems, with models like MeshGraphNet demonstrating strong performance on unstructured simulation meshes. However, these models face several…

Machine Learning · Computer Science 2024-12-23 Mohammad Amin Nabian , Chang Liu , Rishikesh Ranade , Sanjay Choudhry

Molecular dynamics (MD) is a powerful technique for studying microscopic phenomena, but its computational cost has driven significant interest in the development of deep learning-based surrogate models. We introduce generative modeling of…

Biomolecules · Quantitative Biology 2024-09-27 Bowen Jing , Hannes Stärk , Tommi Jaakkola , Bonnie Berger

Hemodynamic parameters such as pressure and wall shear stress play an important role in diagnosis, prognosis, and treatment planning in cardiovascular diseases. These parameters can be accurately computed using computational fluid dynamics…

Computer Vision and Pattern Recognition · Computer Science 2025-08-28 Patryk Rygiel , Julian Suk , Kak Khee Yeung , Christoph Brune , Jelmer M. Wolterink

Real-time supervisory control of advanced reactors requires accurate forecasting of plant-wide thermal-hydraulic states, including locations where physical sensors are unavailable. Meeting this need calls for surrogate models that combine…

Machine Learning · Computer Science 2026-05-19 Akzhol Almukhametov , Doyeong Lim , Rui Hu , Yang Liu

We propose a deep learning-based surrogate model for stochastic simulators. The basic idea is to use generative neural network to approximate the stochastic response. The challenge with such a framework resides in designing the network…

Machine Learning · Computer Science 2021-10-27 Akshay Thakur , Souvik Chakraborty

Excessive loads near wounds produce pathological scarring and other complications. Presently, stress cannot easily be measured by surgeons in the operating room. Instead, surgeons rely on intuition and experience. Predictive computational…

Medical Physics · Physics 2020-10-07 Casey Stowers , Taeksang Lee , Ilias Bilionis , Arun Gosain , Adrian Buganza Tepole

Physics simulators are essential in science and engineering, enabling the analysis, control, and design of complex systems. In experimental sciences, they are increasingly used to automate experimental design, often via combinatorial search…

The development of efficient surrogates for partial differential equations (PDEs) is a critical step towards scalable modeling of complex, multiscale systems-of-systems. Convolutional neural networks (CNNs) have gained popularity as the…

Machine Learning · Computer Science 2025-06-04 Adrienne M. Propp , Daniel M. Tartakovsky

Surrogate models are widely used in mechanical design and manufacturing process optimization, where high-fidelity computational models may be unavailable or prohibitively expensive. Their effectiveness, however, is often limited by data…

Machine Learning · Computer Science 2026-03-03 Bingran Wang , Seongha Jeong , Sebastiaan P. C. van Schie , Dongyeon Han , Jaeho Min , John T. Hwang

Learning-based surrogate models have become a practical alternative to high-fidelity CFD solvers, but their latent representations remain opaque and hinder adoption in safety-critical or regulation-bound settings. This work introduces a…

Computational Engineering, Finance, and Science · Computer Science 2025-07-23 Yeping Hu , Shusen Liu