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Multi-fidelity methods leverage low-cost surrogate models to speed up computations and make occasional recourse to expensive high-fidelity models to establish accuracy guarantees. Because surrogate and high-fidelity models are used…

Numerical Analysis · Mathematics 2021-09-14 Terrence Alsup , Benjamin Peherstorfer

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

One of the main challenges in surrogate modeling is the limited availability of data due to resource constraints associated with computationally expensive simulations. Multi-fidelity methods provide a solution by chaining models in a…

Surrogate modeling is an essential data-driven technique for quantifying relationships between input variables and system responses in manufacturing and engineering systems. Two major challenges limit its effectiveness: (1) large data…

Machine Learning · Computer Science 2026-03-11 Manan Mehta , Zhiqiao Dong , Yuhang Yang , Chenhui Shao

Emulating high-accuracy computationally expensive models is crucial for tasks requiring numerous model evaluations, such as uncertainty quantification and optimization. When lower-fidelity models are available, they can be used to improve…

Methodology · Statistics 2024-10-30 Katerina Giannoukou , Stefano Marelli , Bruno Sudret

Aerodynamic shape optimization in industry still faces challenges related to robustness and scalability. This aspect becomes crucial for advanced optimizations that rely on expensive high-fidelity flow solvers, where computational budget…

Fluid Dynamics · Physics 2025-05-26 Marc Schouler , Anca Belme , Paola Cinnella

High-fidelity numerical simulations of partial differential equations (PDEs) given a restricted computational budget can significantly limit the number of parameter configurations considered and/or time window evaluated for modeling a given…

Machine Learning · Computer Science 2023-09-04 Paolo Conti , Mengwu Guo , Andrea Manzoni , Attilio Frangi , Steven L. Brunton , J. Nathan Kutz

Highly accurate datasets from numerical or physical experiments are often expensive and time-consuming to acquire, posing a significant challenge for applications that require precise evaluations, potentially across multiple scenarios and…

Machine Learning · Computer Science 2026-02-06 Paolo Conti , Mengwu Guo , Attilio Frangi , Andrea Manzoni

Estimating the probability of failure for complex real-world systems using high-fidelity computational models is often prohibitively expensive, especially when the probability is small. Exploiting low-fidelity models can make this process…

Performing reliability analysis on complex systems is often computationally expensive. In particular, when dealing with systems having high input dimensionality, reliability estimation becomes a daunting task. A popular approach to overcome…

Machine Learning · Statistics 2021-12-22 Navaneeth N. , Souvik Chakraborty

High-speed flight vehicles, which travel much faster than the speed of sound, are crucial for national defense and space exploration. However, accurately predicting their behavior under numerous, varied flight conditions is a challenge and…

Machine Learning · Computer Science 2024-11-07 Tyler E. Korenyi-Both , Nathan J. Falkiewicz , Matthew C. Jones

In the context of optimization approaches to engineering applications, time-consuming simulations are often utilized which can be configured to deliver solutions for various levels of accuracy, commonly referred to as different fidelity…

Computational Engineering, Finance, and Science · Computer Science 2022-05-17 Sander van Rijn , Sebastian Schmitt , Matthijs van Leeuwen , Thomas Bäck

Estimating probability of failure in aerospace systems is a critical requirement for flight certification and qualification. Failure probability estimation involves resolving tails of probability distribution, and Monte Carlo sampling…

Numerical Analysis · Mathematics 2022-09-22 S. Ashwin Renganathan , Vishwas Rao , Ionel M. Navon

Active multi-fidelity surrogate modeling is developed for multi-condition airfoil shape optimization to reduce high-fidelity CFD cost while retaining RANS-level accuracy. The framework couples a low-fidelity-informed Gaussian process…

The design of structures and vehicles subject to fluid-structure interaction (FSI) often requires high-fidelity coupled analysis. While the design variables pertain to the structure, the computational cost is dominated by the fluid solver,…

Computational Physics · Physics 2026-05-21 Aditya Narkhede , Erick Rivas , Kevin Wang

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

Engineers widely use Gaussian process regression framework to construct surrogate models aimed to replace computationally expensive physical models while exploring design space. Thanks to Gaussian process properties we can use both samples…

Machine Learning · Statistics 2017-07-14 Evgeny Burnaev , Alexey Zaytsev

This paper considers the surrogate modeling of a complex numerical code in a multifidelity framework when the code output is a time series. Using an experimental design of the low-and high-fidelity code levels, an original Gaussian process…

Statistics Theory · Mathematics 2022-02-24 Baptiste Kerleguer

The polynomial chaos (PC) expansion has been widely used as a surrogate model in the Bayesian inference to speed up the Markov chain Monte Carlo (MCMC) calculations. However, the use of a PC surrogate introduces the modeling error, that may…

Numerical Analysis · Mathematics 2019-02-20 Liang Yan , Tao Zhou

Surrogate modeling for systems with high-dimensional quantities of interest remains challenging, particularly when training data are costly to acquire. This work develops multifidelity methods for multiple-input multiple-output linear…

Machine Learning · Statistics 2026-03-31 Vignesh Sella , Julie Pham , Karen Willcox , Anirban Chaudhuri
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