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This paper presents a novel adaptive-sparse polynomial dimensional decomposition (PDD) method for stochastic design optimization of complex systems. The method entails an adaptive-sparse PDD approximation of a high-dimensional stochastic…

Numerical Analysis · Mathematics 2016-01-13 Sharif Rahman , Xuchun Ren , Vaibhav Yadav

Uncertainties such as manufacturing tolerances cause performance variations in complex engineering systems, making robust design optimization (RDO) essential. However, simulation-based RDO faces high computational cost for statistical…

Optimization and Control · Mathematics 2026-02-10 Hyunho Jang , Dongjin Lee

The present study proposes a data-driven framework trained with high-fidelity simulation results to facilitate decision making for combustor designs. At its core is a surrogate model employing a machine-learning technique called kriging,…

Computational Engineering, Finance, and Science · Computer Science 2017-09-25 Shiang-Ting Yeh , Xingjian Wang , Chih-Li Sung , Simon Mak , Yu-Hung Chang , Liwei Zhang , C. F. Jeff Wu , Vigor Yang

In uncertainty quantification, variance-based global sensitivity analysis quantitatively determines the effect of each input random variable on the output by partitioning the total output variance into contributions from each input.…

Numerical Analysis · Mathematics 2024-05-28 Dongjin Lee , Elle Lavichant , Boris Kramer

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…

Optimization and Control · Mathematics 2021-08-25 Kainat Khowaja , Mykhaylo Shcherbatyy , Wolfgang Karl Härdle

This contribution describes the implementation of a data--driven shape optimization pipeline in a naval architecture application. We adopt reduced order models (ROMs) in order to improve the efficiency of the overall optimization, keeping a…

Numerical Analysis · Mathematics 2024-01-22 Nicola Demo , Giulio Ortali , Gianluca Gustin , Gianluigi Rozza , Gianpiero Lavini

Partial differential equation (PDE)-constrained optimization arises in many scientific and engineering domains, such as energy systems, fluid dynamics and material design. In these problems, the decision variables (e.g., control inputs or…

Machine Learning · Computer Science 2026-01-21 Yusuf Guven , Vincenzo Di Vito , Ferdinando Fioretto

We consider the problem of optimizing the design of a heat sink used for cooling an insulated gate bipolar transistor (IGBT) power module. The thermal behavior of the heat sink is originally estimated using a high-fidelity computational…

Computational Engineering, Finance, and Science · Computer Science 2022-09-15 Dimitrios Loukrezis , Herbert De Gersem

Numerical simulations of complex multiphysics systems, such as char combustion considered herein, yield numerous state variables that inherently exhibit physical constraints. This paper presents a new approach to augment Operator Inference…

Computational Physics · Physics 2026-05-15 Hyeonghun Kim , Boris Kramer

In this experience report, we apply deep active learning to the field of design optimization to reduce the number of computationally expensive numerical simulations. We are interested in optimizing the design of structural components, where…

Machine Learning · Computer Science 2024-03-21 Jens Decke , Christian Gruhl , Lukas Rauch , Bernhard Sick

Modern computational methods, involving highly sophisticated mathematical formulations, enable several tasks like modeling complex physical phenomenon, predicting key properties and design optimization. The higher fidelity in these computer…

Computational Engineering, Finance, and Science · Computer Science 2023-04-13 Lele Luan , Nesar Ramachandra , Sandipp Krishnan Ravi , Anindya Bhaduri , Piyush Pandita , Prasanna Balaprakash , Mihai Anitescu , Changjie Sun , Liping Wang

Physics simulations like computational fluid dynamics (CFD) are a computational bottleneck in computer-aided design (CAD) optimization processes. To overcome this bottleneck, one requires either an optimization framework that is highly…

Machine Learning · Computer Science 2024-08-29 Harsh Vardhan , David Hyde , Umesh Timalsina , Peter Volgyesi , Janos Sztipanovits

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…

Optimization and Control · Mathematics 2025-09-08 Jonathan R. Cangelosi , Matthias Heinkenschloss

This paper presents an efficient methodology for the robust optimisation of Continuous Flow Polymerase Chain Reaction (CFPCR) devices. It enables the effects of uncertainties in device geometry, due to manufacturing tolerances, on the…

Computational Engineering, Finance, and Science · Computer Science 2021-06-02 Yongxing Wang , Hazim A. Hamad , Jochen Voss , Harvey M. Thompson

The use of machine learning algorithms to predict behaviors of complex systems is booming. However, the key to an effective use of machine learning tools in multi-physics problems, including combustion, is to couple them to physical and…

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

The layout optimization of the heat conduction is essential during design in engineering, especially for thermal sensible products. When the optimization algorithm iteratively evaluates different loading cases, the traditional numerical…

Machine Learning · Computer Science 2022-01-26 Hao Ma , Yang Sun , Mario Chiarelli

In chemical and manufacturing processes, unit failures due to equipment degradation can lead to process downtime and significant costs. In this context, finding an optimal maintenance strategy to ensure good unit health while avoiding…

Optimization and Control · Mathematics 2019-01-25 Johannes Wiebe , Inês Cecílio , Ruth Misener

Data-driven surrogate models are widely used for applications such as design optimization and uncertainty quantification, where repeated evaluations of an expensive simulator are required. For most partial differential equation (PDE)…

Computational Physics · Physics 2019-10-18 Wei Xing , Robert M. Kirby , Shandian Zhe

This work aims to improve fuel chamber injectors' performance in turbofan engines, thus implying improved performance and reduction of pollutants. This requires the development of models that allow real-time prediction and improvement of…

Machine Learning · Computer Science 2023-06-21 León Mata , Rodrigo Abadía-Heredia , Manuel Lopez-Martin , José M. Pérez , Soledad Le Clainche
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