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We present a scalable framework for learning deterministic and probabilistic neural surrogates for high-resolution 3D physics simulations. We introduce a hybrid CNN-Transformer backbone architecture targeted for 3D physics simulations,…

Machine Learning · Computer Science 2025-10-09 Benjamin Holzschuh , Georg Kohl , Florian Redinger , Nils Thuerey

Surrogate models are used to alleviate the computational burden in engineering tasks, which require the repeated evaluation of computationally demanding models of physical systems, such as the efficient propagation of uncertainties. For…

Machine Learning · Statistics 2022-09-28 Felix Schneider , Iason Papaioannou , Gerhard Müller

High-fidelity numerical simulations of chaotic, high dimensional nonlinear dynamical systems are computationally expensive, necessitating the development of efficient surrogate models. Most surrogate models for such systems are…

Machine Learning · Computer Science 2026-03-16 Dibyajyoti Chakraborty , Hojin Kim , Romit Maulik

Surrogate modeling and uncertainty quantification tasks for PDE systems are most often considered as supervised learning problems where input and output data pairs are used for training. The construction of such emulators is by definition a…

Computational Physics · Physics 2019-06-26 Yinhao Zhu , Nicholas Zabaras , Phaedon-Stelios Koutsourelakis , Paris Perdikaris

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…

Calibration of neural networks is a topical problem that is becoming more and more important as neural networks increasingly underpin real-world applications. The problem is especially noticeable when using modern neural networks, for which…

Machine Learning · Computer Science 2023-08-29 Ondrej Bohdal , Yongxin Yang , Timothy Hospedales

Continuum robots enable dexterous manipulation in constrained environments, but require accurate and efficient models for real-time manipulation and control. Traditional physics-based models can be computationally expensive and may suffer…

Robotics · Computer Science 2026-05-20 Branden Frieden , James M. Ferguson , Alan Kuntz , Varun Shankar

Surrogate models are used to reduce the burden of expensive-to-evaluate objective functions in optimization. By creating models which map genomes to objective values, these models can estimate the performance of unknown inputs, and so be…

Neural and Evolutionary Computing · Computer Science 2019-07-17 Alexander Hagg , Martin Zaefferer , Jörg Stork , Adam Gaier

Scientific machine learning is increasingly being spoken of as universal emulators for classical numerical solvers for multi-scale partial differential equations, but most apparent successes can be explained by facts that also define their…

Mathematical Physics · Physics 2026-04-23 Karthik Duraisamy

This paper aims to understand whether machine learning models should be trained using cost-sensitive surrogates or cost-agnostic ones (e.g., cross-entropy). Analyzing this question through the lens of $\mathcal{H}$-calibration, we find that…

Machine Learning · Computer Science 2025-02-28 Sanket Shah , Milind Tambe , Jessie Finocchiaro

The Dragonfly network, with its high-radix and low-diameter structure, is a leading interconnect in high-performance computing. A major challenge is workload interference on shared network links. Parallel discrete event simulation (PDES) is…

Machine Learning · Computer Science 2025-11-17 Xin Wang , Pietro Lodi Rizzini , Sourav Medya , Zhiling Lan

Simulation-based plasma scenario development, optimization and control are crucial elements towards the successful deployment of next-generation experimental tokamaks and Fusion power plants. Current simulation codes require extremely…

Plasma Physics · Physics 2024-02-14 N. Carey , L. Zanisi , S. Pamela , V. Gopakumar , J. Omotani , J. Buchanan , J. Brandstetter

Areas of computational mechanics such as uncertainty quantification and optimization usually involve repeated evaluation of numerical models that represent the behavior of engineering systems. In the case of complex nonlinear systems…

Machine Learning · Computer Science 2024-10-03 A. O. M. Kilicsoy , J. Liedmann , M. A. Valdebenito , F. -J. Barthold , M. G. R. Faes

High fidelity design evaluation processes such as Computational Fluid Dynamics and Finite Element Analysis are often replaced with data driven surrogates to reduce computational cost in engineering design optimization. However, building…

Machine Learning · Computer Science 2025-12-01 Sarthak Kapoor , Harsh Vardhan , Umesh Timalsina , Sumit Kumar , Peter Volgyesi , Janos Sztipanovits

Convection-dominated problems are known for their slow Kolmogorov $n$-width decays and are challenging for model order reduction (MOR). In this work, we propose a hybrid surrogate modeling approach and a non-intrusive variant that overcome…

Dynamical Systems · Mathematics 2026-05-29 Lihong Feng , Ali Hassan , Shuwen Sun

Crash simulations play an essential role in improving vehicle safety, design optimization, and injury risk estimation. Unfortunately, numerical solutions of such problems using state-of-the-art high-fidelity models require significant…

Machine Learning · Computer Science 2024-02-16 Jonas Kneifl , Jörg Fehr , Steven L. Brunton , J. Nathan Kutz

Neural networks (NNs) are often used as surrogates or emulators of partial differential equations (PDEs) that describe the dynamics of complex systems. A virtually negligible computational cost of such surrogates renders them an attractive…

Numerical Analysis · Mathematics 2021-05-04 Dong H. Song , Daniel M. Tartakovsky

Neural operators have shown great potential in surrogate modeling. However, training a well-performing neural operator typically requires a substantial amount of data, which can pose a major challenge in complex applications. In such…

Machine Learning · Computer Science 2026-02-05 Keyan Chen , Yile Li , Da Long , Zhitong Xu , Wei Xing , Jacob Hochhalter , Shandian Zhe

In this contribution, we develop an efficient surrogate modeling framework for simulation-based optimization of enhanced oil recovery, where we particularly focus on polymer flooding. The computational approach is based on an adaptive…

Numerical Analysis · Mathematics 2022-03-04 Tim Keil , Hendrik Kleikamp , Rolf J Lorentzen , Micheal B Oguntola , Mario Ohlberger

Surrogate models provide compact relations between user-defined input parameters and output quantities of interest, enabling the efficient evaluation of complex parametric systems in many-query settings. Such capabilities are essential in a…

Numerical Analysis · Mathematics 2026-03-16 Matteo Giacomini , Pedro Díez