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Hierarchical computational methods for multiscale mechanics such as the FE$^2$ and FE-FFT methods are generally accompanied by high computational costs. Data-driven approaches are able to speed the process up significantly by enabling to…

Computational Engineering, Finance, and Science · Computer Science 2021-11-03 Jan Niklas Fuhg , Michele Marino , Nikolaos Bouklas

A surrogate model approximates the outputs of a solver of Partial Differential Equations (PDEs) with a low computational cost. In this article, we propose a method to build learning-based surrogates in the context of parameterized PDEs,…

Machine Learning · Computer Science 2024-06-28 Alejandro Ribés , Nawfal Benchekroun , Théo Delagnes

This study explores the potential for predicting turbulent kinetic energy (TKE) from more readily acquired temperature data using temperature profiles and turbulence data collected concurrently at 10 Hz during a small experimental…

Climate models are limited by heavy computational costs, often producing outputs at coarse spatial resolutions, while many climate change impact studies require finer scales. Statistical downscaling bridges this gap, and we adapt the…

Machine Learning · Computer Science 2025-11-06 Maryam Alipourhajiagha , Pierre-Louis Lemaire , Youssef Diouane , Julie Carreau

Efficient cooling is vital for the performance and reliability of modern systems such as electronics, nuclear reactors, and industrial equipment. Jet impingement cooling is widely used for its high local heat transfer rates. Accurate…

Fluid Dynamics · Physics 2025-07-15 Arijit Hazra , Prahar Sarkar , Sourav Sarkar

The representation of nonlinear sub-grid processes, especially clouds, has been a major source of uncertainty in climate models for decades. Cloud-resolving models better represent many of these processes and can now be run globally but…

Atmospheric and Oceanic Physics · Physics 2022-06-08 Stephan Rasp , Michael S. Pritchard , Pierre Gentine

Weather forecasting centers currently rely on statistical postprocessing methods to minimize forecast error. This improves skill but can lead to predictions that violate physical principles or disregard dependencies between variables, which…

Atmospheric and Oceanic Physics · Physics 2023-05-23 Francesco Zanetta , Daniele Nerini , Tom Beucler , Mark A. Liniger

This study presents a data-driven spatial interpolation algorithm based on physics-informed graph neural networks used to develop national temperature-at-depth maps for the conterminous United States. The model was trained to approximately…

Geophysics · Physics 2024-03-18 Mohammad J. Aljubran , Roland N. Horne

Numerical simulations are crucial for modeling complex systems, but calibrating them becomes challenging when data are noisy or incomplete and likelihood evaluations are computationally expensive. Bayesian calibration offers an interesting…

Learning complex physical dynamics purely from data is challenging due to the intrinsic properties of systems to be satisfied. Incorporating physics-informed priors, such as in Hamiltonian Neural Networks (HNNs), achieves high-precision…

Machine Learning · Computer Science 2024-10-10 Zijie Huang , Wanjia Zhao , Jingdong Gao , Ziniu Hu , Xiao Luo , Yadi Cao , Yuanzhou Chen , Yizhou Sun , Wei Wang

The troposphere is one of the atmospheric layers where most weather phenomena occur. Temperature variations in the troposphere, especially at 500 hPa, a typical level of the middle troposphere, are significant indicators of future weather…

Machine Learning · Computer Science 2021-07-16 Zhihao Chen , Jie Gao , Weikai Wang , Zheng Yan

Physics Informed Neural Networks (PINNs) are shown to be a promising method for the approximation of Partial Differential Equations (PDEs). PINNs approximate the PDE solution by minimizing physics-based loss functions over a given domain.…

Numerical Analysis · Mathematics 2022-09-13 Shoaib Goraya , Nahil Sobh , Arif Masud

Real-time particle transverse momentum ($p_T$) estimation in high-energy physics demands algorithms that are both efficient and accurate under strict hardware constraints. Static machine learning models degrade under high pileup and lack…

Machine Learning · Computer Science 2026-04-21 Md Abrar Jahin , Shahriar Soudeep , M. F. Mridha , Muhammad Mostafa Monowar , Md. Abdul Hamid

Time series forecasting is a growing domain with diverse applications. However, changes of the system behavior over time due to internal or external influences are challenging. Therefore, predictions of a previously learned fore-casting…

Machine Learning · Computer Science 2021-07-07 Florian Haselbeck , Dominik G. Grimm

Precise determination of thermodynamic parameters in ultracold Bose gases remains challenging due to the destructive nature of conventional measurement techniques and inherent experimental uncertainties. We demonstrate a machine learning…

Quantum Gases · Physics 2025-10-29 Jack Griffiths , Steven A. Wrathmall , Simon A. Gardiner

Using the methodology of conditional-probability density functional theory, and several mild assumptions, we calculate the temperature-dependence of the Perdew-Burke-Ernzerhof (PBE) generalized gradient approximation (GGA). This…

Chemical Physics · Physics 2023-08-17 John Kozlowski , Dennis Perchak , Kieron Burke

Subspace-valued functions arise in a wide range of problems, including parametric reduced order modeling (PROM). In PROM, each parameter point can be associated with a subspace, which is used for Petrov-Galerkin projections of large system…

Statistics Theory · Mathematics 2021-07-13 Ruda Zhang , Simon Mak , David Dunson

Traditional physics-based models of geophysical flows, such as debris flows and landslides that pose significant risks to human lives and infrastructure are computationally expensive, limiting their utility for large-scale parameter sweeps,…

Fluid Dynamics · Physics 2025-04-11 Palak Patel , Luke McGuire , Abani Patra

Assessing the degradation state of an industrial asset first requires evaluating its current condition and then to project the forecast model trajectory to a predefined prognostic threshold, thereby estimating its remaining useful life…

Methodology · Statistics 2025-10-06 Edgar Jaber , Emmanuel Remy , Vincent Chabridon , Mathilde Mougeot , Didier Lucor

While the analysis of airborne laser scanning (ALS) data often provides reliable estimates for certain forest stand attributes -- such as total volume or basal area -- there is still room for improvement, especially in estimating…

Applications · Statistics 2019-01-23 Petri Varvia , Timo Lähivaara , Matti Maltamo , Petteri Packalen , Aku Seppänen