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Recent works in learning-integrated optimization have shown promise in settings where the optimization problem is only partially observed or where general-purpose optimizers perform poorly without expert tuning. By learning an optimizer…

Machine Learning · Computer Science 2023-11-06 Arman Zharmagambetov , Brandon Amos , Aaron Ferber , Taoan Huang , Bistra Dilkina , Yuandong Tian

Machine learning classification techniques have been used widely to recognize the feasible design domain and discover hidden patterns in engineering design. An accurate classification model needs a large dataset; however, generating a large…

Data Analysis, Statistics and Probability · Physics 2021-07-13 Xianping Du , Kai Zhang , Onur Bilgen , Laurent Burlion , Hongyi Xu

Surrogate models for partial-differential equations are widely used in the design of meta-materials to rapidly evaluate the behavior of composable components. However, the training cost of accurate surrogates by machine learning can rapidly…

Machine Learning · Computer Science 2020-11-04 Raphaël Pestourie , Youssef Mroueh , Thanh V. Nguyen , Payel Das , Steven G. Johnson

The energy transition entails a rapid uptake of renewable energy sources. Besides physical changes within the grid infrastructure, energy storage devices and their smart operation are key measures to master the resulting challenges like,…

Optimization and Control · Mathematics 2019-11-13 Manuel Baumann , Sara Grundel , Philipp Sauerteig , Karl Worthmann

Improving the accuracy of soil moisture estimation is required for advancing irrigation scheduling and water conservation efforts. Central to this task are soil hydraulic parameters, which govern moisture dynamics but are rarely known…

Systems and Control · Electrical Eng. & Systems 2025-06-06 Bernard T. Agyeman , Erfan Orouskhani , Mohamed Naouri , Willemijn Appels , Maik Wolleben , Jinfeng Liu , Sirish L. Shah

Soil macronutrients, particularly potassium ions (K$^+$), are indispensable for plant health, underpinning various physiological and biological processes, and facilitating the management of both biotic and abiotic stresses. Deficient…

Machine Learning · Computer Science 2025-04-08 Mridul Kumar , Deepali Jain , Zeeshan Saifi , Soami Daya Krishnananda

In complex large-scale systems such as climate, important effects are caused by a combination of confounding processes that are not fully observable. The identification of sources from observations of system state is vital for attribution…

Machine Learning · Statistics 2023-03-22 Joseph Hart , Mamikon Gulian , Indu Manickam , Laura Swiler

The current availability of soil moisture data over large areas comes from satellite remote sensing technologies (i.e., radar-based systems), but these data have coarse resolution and often exhibit large spatial information gaps. Where data…

Machine Learning · Computer Science 2019-05-22 Danny Rorabaugh , Mario Guevara , Ricardo Llamas , Joy Kitson , Rodrigo Vargas , Michela Taufer

Multifidelity surrogate modelling combines data of varying accuracy and cost from different sources. It strategically uses low-fidelity models for rapid evaluations, saving computational resources, and high-fidelity models for detailed…

Machine Learning · Computer Science 2024-04-24 Daniel N Wilke

The increasing frequency and severity of global flood events highlights the need for the development of rapid and reliable flood prediction tools. This process traditionally relies on computationally expensive hydraulic simulations. This…

Surrogate models - also called emulators - are widely used to facilitate Bayesian inference in settings where computational costs preclude the use of standard posterior inference algorithms. Their deployment is now standard practice across…

Methodology · Statistics 2026-03-17 Andrew Gerard Roberts , Michael C. Dietze , Jonathan H. Huggins

In this paper we study the efficacy of combining machine-learning methods with projection-based model reduction techniques for creating data-driven surrogate models of computationally expensive, high-fidelity physics models. Such surrogate…

Fluid Dynamics · Physics 2022-09-28 Kenny Chowdhary , Chi Hoang , Kookjin Lee , Jaideep Ray

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 work focuses on estimating soil properties from water moisture measurements. We consider simulated data generated by solving the initial-boundary value problem governing vertical infiltration in a homogeneous, bounded soil profile,…

Geophysics · Physics 2025-06-06 Konstantinos Kalimeris , Leonidas Mindrinos , Nikolaos Pallikarakis

In recent years, neural network-based classification has been used to improve data analysis at collider experiments. While this strategy proves to be hugely successful, the underlying models are not commonly shared with the public and rely…

High Energy Physics - Phenomenology · Physics 2024-09-30 Sebastian Bieringer , Gregor Kasieczka , Jan Kieseler , Mathias Trabs

The term `surrogate modeling' in computational science and engineering refers to the development of computationally efficient approximations for expensive simulations, such as those arising from numerical solution of partial differential…

Numerical Analysis · Mathematics 2022-08-12 Maarten V. de Hoop , Daniel Zhengyu Huang , Elizabeth Qian , Andrew M. Stuart

Satellite observations play a critical role in numerical weather prediction where they are assimilated through an observation operator that maps model states to radiances. In the traditional Ensemble Kalman Filter, these observations are…

Atmospheric and Oceanic Physics · Physics 2026-03-24 Gian Luca Buono , Stefanie Hollborn , Roland Potthast , Jörg Schäfer , Martin Simon

Surrogate models of numerical relativity simulations of merging black holes provide the most accurate tools for gravitational-wave data analysis. Neural network-based surrogates promise evaluation speedups, but their accuracy relies on…

General Relativity and Quantum Cosmology · Physics 2025-05-21 Lucy M. Thomas , Katerina Chatziioannou , Vijay Varma , Scott E. Field

Merging satellite and gauge data with machine learning produces high-resolution precipitation datasets, but uncertainty estimates are often missing. We addressed the gap of how to optimally provide such estimates by benchmarking six…

Machine Learning · Statistics 2024-08-23 Georgia Papacharalampous , Hristos Tyralis , Nikolaos Doulamis , Anastasios Doulamis

Surrogate models are widely used to approximate complex systems across science and engineering to reduce computational costs. Despite their widespread adoption, the field lacks standardisation across key stages of the modelling pipeline,…