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This work develops a non-intrusive, data-driven surrogate modeling framework based on Operator Inference (OpInf) for rapidly solving parameter-dependent matrix equations in many-query settings. Motivated by the requirements of the OpInf…

Numerical Analysis · Mathematics 2025-11-21 Xuelian Wen , Qiuqi Li , Juan Zhang

Vertical equilibrium (VE) models have been introduced as computationally efficient alternatives to traditional mass and momentum balance equations for fluid flow in porous media. Since VE models are only accurate in regions where phase…

Fluid Dynamics · Physics 2026-04-21 Ivan Buntic , Bernd Flemisch

High-fidelity physics simulations are powerful tools in the design and optimization of charged particle accelerators. However, the computational burden of these simulations often limits their use in practice for design optimization and…

Accelerator Physics · Physics 2020-04-15 Auralee Edelen , Nicole Neveu , Yannick Huber , Mattias Frey , Christopher Mayes , Andreas Adelmann

High-fidelity models are essential for accurately capturing nonlinear system dynamics. However, simulation of these models is often computationally too expensive and, due to their complexity, they are not directly suitable for analysis,…

Systems and Control · Electrical Eng. & Systems 2025-09-05 E. Javier Olucha , Rajiv Singh , Amritam Das , Roland Tóth

In engineering design and scientific computing, computational cost and predictive accuracy are intrinsically coupled. High-fidelity simulations provide accurate predictions but at substantial computational costs, while lower-fidelity…

Machine Learning · Computer Science 2026-05-11 Ahmed Mohamed Eisa Nasr , Ali Elham , Haris Moazam Sheikh

We present an introduction to some of the state of the art in reduced order and surrogate modeling in gravitational wave (GW) science. Approaches that we cover include Principal Component Analysis, Proper Orthogonal Decomposition, the…

General Relativity and Quantum Cosmology · Physics 2022-05-04 Manuel Tiglio , Aarón Villanueva

Prediction+optimization is a common real-world paradigm where we have to predict problem parameters before solving the optimization problem. However, the criteria by which the prediction model is trained are often inconsistent with the goal…

Machine Learning · Computer Science 2021-11-23 Kai Yan , Jie Yan , Chuan Luo , Liting Chen , Qingwei Lin , Dongmei Zhang

Task-driven design of soft robots requires models that are physically accurate and computationally efficient, while remaining transferable across actuator designs and task scenarios. However, existing modeling approaches typically face a…

Robotics · Computer Science 2026-03-23 Yao Yao , David Howard , Perla Maiolino

In the continual effort to improve product quality and decrease operations costs, computational modeling is increasingly being deployed to determine feasibility of product designs or configurations. Surrogate modeling of these computer…

Machine Learning · Statistics 2021-11-10 Nathan Wycoff , Mickaël Binois , Robert B. Gramacy

The design process of centrifugal compressors requires applying an optimization process which is computationally expensive due to complex analytical equations underlying the compressor's dynamical equations. Although the regression…

Machine Learning · Computer Science 2023-09-07 Shadi Ghiasi , Guido Pazzi , Concettina Del Grosso , Giovanni De Magistris , Giacomo Veneri

While many acoustic systems are well-modelled by linear time-invariant dynamical systems, high-fidelity models often become computationally expensive due the complexity of dynamics. Reduced order modelling techniques, such as the…

Dynamical Systems · Mathematics 2025-06-11 Art J. R. Pelling , Ennes Sarradj

We study a class of prediction problems in which relatively few observations have associated responses, but all observations include both standard covariates as well as additional "helper" covariates. While the end goal is to make…

Statistics Theory · Mathematics 2024-12-13 Eric Xia , Martin J. Wainwright

Risk modeling with EHR data is challenging due to a lack of direct observations on the disease outcome, and the high dimensionality of the candidate predictors. In this paper, we develop a surrogate assisted semi-supervised-learning (SAS)…

Statistics Theory · Mathematics 2021-05-05 Jue Hou , Zijian Guo , Tianxi Cai

When evaluating quantities of interest that depend on the solutions to differential equations, we inevitably face the trade-off between accuracy and efficiency. Especially for parametrized, time dependent problems in engineering…

Numerical Analysis · Mathematics 2022-12-21 Paolo Conti , Mengwu Guo , Andrea Manzoni , Jan S. Hesthaven

Adaptive experimental designs have gained increasing attention across a range of domains. In this paper, we propose a new methodological framework, surrogate-leveraged online adaptive causal inference (SLOACI), which integrates predictive…

Methodology · Statistics 2025-12-09 Yingying Fan , Zihan Wang , Waverly Wei

This work presents a technique for statistically modeling errors introduced by reduced-order models. The method employs Gaussian-process regression to construct a mapping from a small number of computationally inexpensive `error indicators'…

Numerical Analysis · Computer Science 2015-04-16 Martin Drohmann , Kevin Carlberg

We propose a novel learning-based surrogate data assimilation (DA) model for efficient state estimation in a limited area. Our model employs a feedforward neural network for online computation, eliminating the need for integrating…

Numerical Analysis · Mathematics 2023-07-17 Wei Kang , Liang Xu , Hong Zhou

Surrogate modeling has brought about a revolution in computation in the branches of science and engineering. Backed by Artificial Intelligence, a surrogate model can present highly accurate results with a significant reduction in…

Artificial Intelligence · Computer Science 2022-10-17 Abid Hossain Khan , Salauddin Omar , Nadia Mushtary , Richa Verma , Dinesh Kumar , Syed Alam

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

For economic nonlinear model predictive control and dynamic real-time optimization fast and accurate models are necessary. Consequently, the use of dynamic surrogate models to mimic complex rigorous models is increasingly coming into focus.…

Systems and Control · Electrical Eng. & Systems 2021-07-30 Torben Talis , Joris Weigert , Erik Esche , Jens-Uwe Repke