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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

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

With rapid progress in deep learning, neural networks have been widely used in scientific research and engineering applications as surrogate models. Despite the great success of neural networks in fitting complex systems, two major…

Machine Learning · Computer Science 2023-06-13 Yuwen Deng , Wang Kang , Wei W. Xing

In many situations across computational science and engineering, multiple computational models are available that describe a system of interest. These different models have varying evaluation costs and varying fidelities. Typically, a…

Numerical Analysis · Mathematics 2018-06-29 Benjamin Peherstorfer , Karen Willcox , Max Gunzburger

Multi-fidelity models are of great importance due to their capability of fusing information coming from different numerical simulations, surrogates, and sensors. We focus on the approximation of high-dimensional scalar functions with low…

Numerical Analysis · Mathematics 2023-09-13 Francesco Romor , Marco Tezzele , Markus Mrosek , Carsten Othmer , Gianluigi Rozza

Federated Learning (FL) enables multiple resource-constrained edge devices with varying levels of heterogeneity to collaboratively train a global model. However, devices with limited capacity can create bottlenecks and slow down model…

Machine Learning · Computer Science 2025-04-08 Afsaneh Mahanipour , Hana Khamfroush

Decision support systems often rely on solving complex optimization problems that may require to estimate uncertain parameters beforehand. Recent studies have shown how using traditionally trained estimators for this task can lead to…

Machine Learning · Computer Science 2025-12-19 Gaetano Signorelli , Michele Lombardi

Modern container ships face higher wind loads due to increased windage areas, making accurate predictions of wind loads essential for mooring design. Existing empirical models, largely developed for container ships with smaller windage…

Machine Learning · Computer Science 2026-04-28 Matilde Fiore , Andrea Bresciani , Miguel Alfonso Mendez , Jeroen van Beeck

Machine Learning (ML) systems are getting increasingly popular, and drive more and more applications and services in our daily life. This has led to growing concerns over user privacy, since human interaction data typically needs to be…

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

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

Federated learning is a communication-efficient training process that alternates between local training at the edge devices and averaging the updated local model at the central server. Nevertheless, it is impractical to achieve a perfect…

Machine Learning · Computer Science 2019-11-04 Fan Ang , Li Chen , Nan Zhao , Yunfei Chen , Weidong Wang , F. Richard Yu

Deep learning-based surrogate models have been widely applied in geological carbon storage (GCS) problems to accelerate the prediction of reservoir pressure and CO2 plume migration. Large amounts of data from physics-based numerical…

Machine Learning · Statistics 2024-01-11 Hewei Tang , Qingkai Kong , Joseph P. Morris

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

The active learning (AL) technique, one of the state-of-the-art methods for constructing surrogate models, has shown high accuracy and efficiency in forward uncertainty quantification (UQ) analysis. This paper provides a comprehensive study…

Methodology · Statistics 2024-04-12 Maijia Su , Ziqi Wang , Oreste Salvatore Bursi , Marco Broccardo

Optimization models used to make discrete decisions often contain uncertain parameters that are context-dependent and estimated through prediction. To account for the quality of the decision made based on the prediction, decision-focused…

Machine Learning · Computer Science 2024-07-30 Noah Schutte , Krzysztof Postek , Neil Yorke-Smith

Reliability-based design optimization (RBDO) provides a rational and sound framework for finding the optimal design while taking uncertainties into ac-count. The main issue in implementing RBDO methods, particularly stochastic simu-lation…

Applications · Statistics 2020-03-03 Wang-Sheng Liu , Sai Hung Cheung

Computer simulations have become essential for analyzing complex systems, but high-fidelity simulations often come with significant computational costs. To tackle this challenge, multi-fidelity computer experiments have emerged as a…

Methodology · Statistics 2024-06-05 Junoh Heo , Chih-Li Sung

We propose a multifidelity dimension reduction method to identify a low-dimensional structure present in many engineering models. The structure of interest arises when functions vary primarily on a low-dimensional subspace of the…

Numerical Analysis · Mathematics 2020-01-08 Rémi Lam , Olivier Zahm , Youssef Marzouk , Karen Willcox

Federated learning (FL) has attracted increasing attention as a promising approach to driving a vast number of end devices with artificial intelligence. However, it is very challenging to guarantee the efficiency of FL considering the…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-04-26 Wentai Wu , Ligang He , Weiwei Lin , Rui Mao , Carsten Maple , Stephen Jarvis
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