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Multi-fidelity machine learning methods address the accuracy-efficiency trade-off by integrating scarce, resource-intensive high-fidelity data with abundant but less accurate low-fidelity data. We propose a practical multi-fidelity strategy…

Machine Learning · Computer Science 2025-03-26 Jiaxiang Yi , Ji Cheng , Miguel A. Bessa

Existing variance reduction techniques used in stochastic simulations for rare event analysis still require a substantial number of model evaluations to estimate small failure probabilities. In the context of complex, nonlinear finite…

Machine Learning · Computer Science 2025-08-04 Liuyun Xu , Seymour M. J. Spence

Autonomous navigation through unknown environments is a challenging task that entails real-time localization, perception, planning, and control. UAVs with this capability have begun to emerge in the literature with advances in lightweight…

Robotics · Computer Science 2019-06-18 Jesus Tordesillas , Brett T. Lopez , John Carter , John Ware , Jonathan P. How

This study presents an enhanced multi-fidelity Deep Operator Network (DeepONet) framework for efficient spatio-temporal flow field prediction when high-fidelity data is scarce. Key innovations include: a merge network replacing traditional…

Fluid Dynamics · Physics 2025-07-18 Sunwoong Yang , Youngkyu Lee , Namwoo Kang

This study demonstrates the feasibility of developing machine learning (ML) surrogates based on Recurrent Neural Networks (RNN) for predicting the unsteady aeroelastic response of transonic pitching and plunging wing-fuel tank sloshing…

Computational Engineering, Finance, and Science · Computer Science 2019-11-25 Shashank Srivastava , Murali Damodaran , Boo Cheong Khoo

Highly accurate numerical or physical experiments are often time-consuming or expensive to obtain. When time or budget restrictions prohibit the generation of additional data, the amount of available samples may be too limited to provide…

Numerical Analysis · Mathematics 2021-12-22 Mengwu Guo , Andrea Manzoni , Maurice Amendt , Paolo Conti , Jan S. Hesthaven

Traditional methods for black box optimization require a considerable number of evaluations which can be time consuming, unpractical, and often unfeasible for many engineering applications that rely on accurate representations and expensive…

Machine Learning · Computer Science 2020-07-10 Francesco Grassi , Giorgio Manganini , Michele Garraffa , Laura Mainini

The aim of the present paper is to develop a strategy for solving reliability-based design optimization (RBDO) problems that remains applicable when the performance models are expensive to evaluate. Starting with the premise that…

Methodology · Statistics 2011-04-20 V. Dubourg , B. Sudret , J. -M. Bourinet

The increasing significance of digital twin technology across engineering and industrial domains, such as aerospace, infrastructure, and automotive, is undeniable. However, the lack of detailed application-specific information poses…

Machine Learning · Computer Science 2023-06-27 AS Desai , Navaneeth N , S Adhikari , S Chakraborty

In multi-objective design tasks, the computational cost increases rapidly when high-fidelity simulations are used to evaluate objective functions. Surrogate models help mitigate this cost by approximating the simulation output, simplifying…

Applications · Statistics 2025-06-03 Omer F. Erdem , David P. Broughton , Josef Svoboda , Chengkun Huang , Majdi I. Radaideh

Real-world black-box optimization often involves time-consuming or costly experiments and simulations. Multi-fidelity optimization (MFO) stands out as a cost-effective strategy that balances high-fidelity accuracy with computational…

Machine Learning · Computer Science 2024-02-16 Ke Li , Fan Li

This study presents an integrated modeling and optimization framework for a steam methane reforming (SMR) reactor, combining a mathematical model, artificial neural network (ANN)-based hybrid modeling, advanced multi-objective optimization…

Chemical Physics · Physics 2025-07-11 Seyed Reza Nabavi , Zonglin Guo , Zhiyuan Wang

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

Designing an inexpensive approximate surrogate model that captures the salient features of an expensive high-fidelity behavior is a prevalent approach in design optimization. In recent times, Deep Learning (DL) models are being used as a…

Machine Learning · Computer Science 2022-07-12 Harsh Vardhan , Janos Sztipanovits

Multi-fidelity simulation is a widely used strategy to reduce the computational cost of many-query numerical simulation tasks such as uncertainty quantification, design space exploration, and design optimization. The reduced basis approach…

Numerical Analysis · Mathematics 2025-09-17 Murray Cutforth , Tiffany Fan , Tony Zahtila , Alireza Doostan , Eric Darve

In this paper, a novel mechanism-driven reinforcement learning framework is proposed for airfoil shape optimization. To validate the framework, a reward function is designed and analyzed, from which the equivalence between the maximizing…

Numerical Analysis · Mathematics 2024-05-28 Jingfeng Wang , Guanghui Hu

Atmospheric correction is a critical preprocessing step in optical remote sensing, but repeated high-fidelity radiative transfer simulations remain computationally expensive for dense look-up-table generation, sensitivity analysis,…

Atmospheric and Oceanic Physics · Physics 2026-05-13 Md Abdullah Al Mazid , Naphtali Rishe

Aeroelasticity in the transonic regime is challenging because of the strongly nonlinear phenomena involved in the formation of shock waves and flow separation. In this work, we introduce a computationally efficient framework for accurate…

Fluid Dynamics · Physics 2023-04-17 Nicola Fonzi , Steven L. Brunton , Urban Fasel

To address the challenges of reliability analysis in high-dimensional probability spaces, this paper proposes a new metamodeling method that couples active subspace, heteroscedastic Gaussian process, and active learning. The active subspace…

Applications · Statistics 2024-04-11 Jungho Kim , Ziqi Wang , Junho Song

Several methods have been proposed in the literature to solve reliability-based optimization problems, where failure probabilities are design constraints. However, few methods address the problem of life-cycle cost or risk optimization,…

Computation · Statistics 2020-07-09 H. M. Kroetz , M. Moustapha , A. T. Beck , B. Sudret