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The optimization of large-scale multibody systems is a numerically challenging task, in particular when considering multiple conflicting criteria at the same time. In this situation, we need to approximate the Pareto set of optimal…

Global aerodynamic design optimization using Euler or Navier-Stokes equations requires very reliable surrogate modeling techniques since the computational effort for the underlying flow simulations is usually high. In general, for such…

最优化与控制 · 数学 2018-11-02 Emre Özkaya , Nicolas R. Gauger

To obtain more accurate model parameters and improve prediction accuracy, we proposed a regularized Kriging model that penalizes the hyperparameter theta in the Gaussian stochastic process, termed the Theta-regularized Kriging. We derived…

统计计算 · 统计学 2026-04-17 Xuelin Xie , Xiliang Lu

This paper introduces a novel surrogate modeling framework for aerodynamic applications based on Neural Fields. The proposed approach, MARIO (Modulated Aerodynamic Resolution Invariant Operator), addresses non parametric geometric…

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,…

系统与控制 · 电气工程与系统科学 2025-09-05 E. Javier Olucha , Rajiv Singh , Amritam Das , Roland Tóth

Data-driven surrogate models offer quick approximations to complex numerical and experimental systems but typically lack uncertainty quantification, limiting their reliability in safety-critical applications. While Bayesian methods provide…

Crash simulations play an essential role in improving vehicle safety, design optimization, and injury risk estimation. Unfortunately, numerical solutions of such problems using state-of-the-art high-fidelity models require significant…

机器学习 · 计算机科学 2024-02-16 Jonas Kneifl , Jörg Fehr , Steven L. Brunton , J. Nathan Kutz

Bayesian optimization has been shown to be a powerful tool for solving black box problems during online accelerator optimization. The major advantage of Bayesian based optimization techniques is the ability to include prior information…

加速器物理 · 物理学 2022-11-17 Connie Xu , Ryan Roussel , Auralee Edelen

Predicting and simulating aerodynamic fields for civil aircraft over wide flight envelopes represent a real challenge mainly due to significant numerical costs and complex flows. Surrogate models and reduced-order models help to estimate…

流体动力学 · 物理学 2019-12-11 Romain Dupuis , Jean-Christophe Jouhaud , Pierre Sagaut

Spatial prediction requires expensive computation to invert the spatial covariance matrix it depends on and also has considerable storage needs. This work concentrates on computationally efficient algorithms for prediction using very large…

统计计算 · 统计学 2019-06-11 Roberto Rivera

Recent advancements in Machine Learning (ML) have substantially improved its predictive and computational abilities, offering promising opportunities for surrogate modeling in scientific applications. By accurately approximating complex…

分布式、并行与集群计算 · 计算机科学 2024-08-28 Zane Fink , Konstantinos Parasyris , Praneet Rathi , Giorgis Georgakoudis , Harshitha Menon , Peer-Timo Bremer

Natural gradient methods have been used to optimise the parameters of probability distributions in a variety of settings, often resulting in fast-converging procedures. Unfortunately, for many distributions of interest, computing the…

机器学习 · 统计学 2024-05-28 Jonathan So , Richard E. Turner

We demonstrate the adaption of three established methods to the field of surrogate machine learning model development. These methods are data augmentation, custom loss functions and transfer learning. Each of these methods have seen…

机器学习 · 计算机科学 2022-11-04 H. Rhys Jones , Tingting Mu , Andrei C. Popescu , Yusuf Sulehman

The increasing availability of large-scale global datasets has generated a demand for scalable spatial prediction methods defined on spherical domains. Classical spatial models that rely on Euclidean distance representations are…

统计方法学 · 统计学 2026-04-03 Hao-Yun Huang , Wen-Ting Wang , Ping-Hsun Chiang , Wei-Ying Wu

Fast machine learning-based surrogate models are trained to emulate slow, high-fidelity engineering simulation models to accelerate engineering design tasks. This introduces uncertainty as the surrogate is only an approximation of the…

机器学习 · 统计学 2020-10-08 Paul Westermann , Ralph Evins

In spatial statistics, a common method for prediction over a Gaussian random field (GRF) is maximum likelihood estimation combined with kriging. For massive data sets, kriging is computationally intensive, both in terms of CPU time and…

统计方法学 · 统计学 2018-09-28 Karl T. Pazdernik , Ranjan Maitra , Douglas Nychka , Stephen Sain

Learned image compression possesses a unique challenge when incorporating non-differentiable quantization into the gradient-based training of the networks. Several quantization surrogates have been proposed to fulfill the training, but they…

计算机视觉与模式识别 · 计算机科学 2023-10-02 Haotian Zhang , Li Li , Dong Liu

Space-filling designs are crucial for efficient computer experiments, enabling accurate surrogate modeling and uncertainty quantification in many scientific and engineering applications, such as digital twin systems and cyber-physical…

统计方法学 · 统计学 2025-08-06 Xinwei Deng , Lulu Kang , C. Devon Lin

Numerical models based on physics represent the state-of-the-art in earth system modeling and comprise our best tools for generating insights and predictions. Despite rapid growth in computational power, the perceived need for higher model…

机器学习 · 计算机科学 2022-01-10 Kate Duffy , Thomas Vandal , Weile Wang , Ramakrishna Nemani , Auroop R. Ganguly

In NeuroEvolution, the topologies of artificial neural networks are optimized with evolutionary algorithms to solve tasks in data regression, data classification, or reinforcement learning. One downside of NeuroEvolution is the large amount…

神经与进化计算 · 计算机科学 2019-02-12 Jörg Stork , Martin Zaefferer , Thomas Bartz-Beielstein