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Simulation models are widely used in practice to facilitate decision-making in a complex, dynamic and stochastic environment. But they are computationally expensive to execute and optimize, due to lack of analytical tractability. Simulation…

最优化与控制 · 数学 2021-06-14 L. Jeff Hong , Xiaowei Zhang

Currently, various hardware and software companies are developing augmented reality devices, most prominently Microsoft with its Hololens. Besides gaming, such devices can be used for serious pervasive applications, like interactive mobile…

分布式、并行与集群计算 · 计算机科学 2018-02-15 Christoph Dibak , Bernard Haasdonk , Andreas Schmidt , Frank Dürr , Kurt Rothermel

Surrogate models provide compact relations between user-defined input parameters and output quantities of interest, enabling the efficient evaluation of complex parametric systems in many-query settings. Such capabilities are essential in a…

数值分析 · 数学 2026-03-16 Matteo Giacomini , Pedro Díez

Data assimilation is the process of fusing information from imperfect computer simulations with noisy, sparse measurements of reality to obtain improved estimates of the state or parameters of a dynamical system of interest. The data…

Reduced-order modelling and low-dimensional surrogate models generated using machine learning algorithms have been widely applied in high-dimensional dynamical systems to improve the algorithmic efficiency. In this paper, we develop a…

This paper develops a surrogate model refinement approach for the simulation of dynamical systems and the solution of optimization problems governed by dynamical systems in which surrogates replace expensive-to-compute state- and…

最优化与控制 · 数学 2025-09-08 Jonathan R. Cangelosi , Matthias Heinkenschloss

Machine learning methods are increasingly used to build computationally inexpensive surrogates for complex physical models. The predictive capability of these surrogates suffers when data are noisy, sparse, or time-dependent. As we are…

机器学习 · 计算机科学 2024-05-20 A. Diaw , M. McKerns , I. Sagert , L. G. Stanton , M. S. Murillo

We propose an optimization algorithm to improve the design and performance of quantum communication networks. When physical architectures become too complex for analytical methods, numerical simulation becomes essential to study quantum…

量子物理 · 物理学 2025-08-21 Luise Prielinger , Álvaro G. Iñesta , Gayane Vardoyan

Surrogate models are used for global approximation of responses generated by expensive computer experiments like CFD applications. In this paper, we make use of structural similarities which are shared by a class of related problems. We…

数值分析 · 数学 2012-06-20 Benjamin Rosenbaum , Volker Schulz

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…

数值分析 · 数学 2023-07-17 Wei Kang , Liang Xu , Hong Zhou

Many real-world systems are modelled using complex ordinary differential equations (ODEs). However, the dimensionality of these systems can make them challenging to analyze. Dimensionality reduction techniques like Proper Orthogonal…

计算工程、金融与科学 · 计算机科学 2025-02-26 Abhishek Ajayakumar , Soumyendu Raha

This paper presents a novel methodology that uses surrogate models in the form of neural networks to reduce the computation time of simulation-based optimization of a reference trajectory. Simulation-based optimization is necessary when…

最优化与控制 · 数学 2023-03-31 Evelyn Ruff , Rebecca Russell , Matthew Stoeckle , Piero Miotto , Jonathan P. How

Surrogate models are data-based approximations of computationally expensive simulations that enable efficient exploration of the model's design space and informed decision-making in many physical domains. The usage of surrogate models in…

声音 · 计算机科学 2022-12-14 Barbara Cunha , Abdel-Malek Zine , Mohamed Ichchou , Christophe Droz , Stéphane Foulard

Surrogate models are often used as computationally efficient approximations to complex simulation models, enabling tasks such as solving inverse problems, sensitivity analysis, and probabilistic forward predictions, which would otherwise be…

机器学习 · 统计学 2026-05-13 Philipp Reiser , Paul-Christian Bürkner , Anneli Guthke

The computational resources required to solve the full 3D inversion of time-domain electromagnetic data are immense. To overcome the time-consuming 3D simulations, we construct a surrogate model, more precisely, a data-driven statistical…

地球物理 · 物理学 2024-07-10 Wouter Deleersnyder , David Dudal , Thomas Hermans

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…

机器学习 · 计算机科学 2024-11-07 Tyler E. Korenyi-Both , Nathan J. Falkiewicz , Matthew C. Jones

Driven by increased complexity of dynamical systems, the solution of system of differential equations through numerical simulation in optimization problems has become computationally expensive. This paper provides a smart data driven…

最优化与控制 · 数学 2021-08-25 Kainat Khowaja , Mykhaylo Shcherbatyy , Wolfgang Karl Härdle

Measurement-constrained datasets, often encountered in semi-supervised learning, arise when data labeling is costly, time-intensive, or hindered by confidentiality or ethical concerns, resulting in a scarcity of labeled data. In certain…

统计方法学 · 统计学 2025-01-15 Yixin Shen , Yang Ning

Recent developments of advanced driver-assistance systems necessitate an increasing number of tests to validate new technologies. These tests cannot be carried out on track in a reasonable amount of time and automotive groups rely on…

机器学习 · 统计学 2022-12-16 Clara Carlier , Arnaud Franju , Matthieu Lerasle , Mathias Obrebski

The energy transition entails a rapid uptake of renewable energy sources. Besides physical changes within the grid infrastructure, energy storage devices and their smart operation are key measures to master the resulting challenges like,…

最优化与控制 · 数学 2019-11-13 Manuel Baumann , Sara Grundel , Philipp Sauerteig , Karl Worthmann
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