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Careful design of semiconductor manufacturing equipment is crucial for ensuring the performance, yield, and reliability of semiconductor devices. Despite this, numerical optimization methods are seldom applied to optimize the design of such…

Computational Engineering, Finance, and Science · Computer Science 2024-11-14 Bingran Wang , Min Sung Kim , Taewoong Yoon , Dasom Lee , Byeong-Sang Kim , Dougyong Sung , John T. Hwang

Solving nonlinear partial differential equations (PDEs) using kernel methods offers a compelling alternative to traditional numerical solvers. However, the performance of these methods strongly depends on the choice of kernel. In this work,…

Machine Learning · Statistics 2026-05-12 Fatima-Zahrae El-Boukkouri , Josselin Garnier , Olivier Roustant

Surrogates, models that mimic the behavior of programs, form the basis of a variety of development workflows. We study three surrogate-based design patterns, evaluating each in case studies on a large-scale CPU simulator. With surrogate…

Programming Languages · Computer Science 2021-12-14 Alex Renda , Yi Ding , Michael Carbin

In this work, we develop a multi-fidelity Bayesian experimental design framework to efficiently quantify the extreme-event statistics of an input-to-response (ItR) system with given input probability and expensive function evaluations. The…

Fluid Dynamics · Physics 2022-01-04 Xianliang Gong , Yulin Pan

A multi-fidelity simulator is a numerical model, in which one of the inputs controls a trade-off between the realism and the computational cost of the simulation. Our goal is to estimate the probability of exceeding a given threshold on a…

Methodology · Statistics 2021-03-31 Rémi Stroh , Julien Bect , Séverine Demeyer , Nicolas Fischer , Emmanuel Vazquez

It is not uncommon that meta-heuristic algorithms contain some intrinsic parameters, the optimal configuration of which is crucial for achieving their peak performance. However, evaluating the effectiveness of a configuration is expensive,…

Neural and Evolutionary Computing · Computer Science 2019-02-01 Ke Li , Zilin Xiang , Kay Chen Tan

Science and engineering fields use computer simulation extensively. These simulations are often run at multiple levels of sophistication to balance accuracy and efficiency. Multi-fidelity surrogate modeling reduces the computational cost by…

Machine Learning · Computer Science 2022-06-13 Dongxia Wu , Matteo Chinazzi , Alessandro Vespignani , Yi-An Ma , Rose Yu

Markov chain Monte Carlo methods for exponential family models with intractable normalizing constant, such as the exchange algorithm, require simulations of the sufficient statistics at every iteration of the Markov chain, which often…

Computation · Statistics 2023-02-21 Quan Vu , Matthew T. Moores , Andrew Zammit-Mangion

A meta-model (or a surrogate model) is the modern name for what was traditionally called a response surface. It is intended to mimic the behaviour of a computational model M (e.g. a finite element model in mechanics) while being inexpensive…

Methodology · Statistics 2012-03-12 Bruno Sudret

Not being able to understand and predict the behavior of deep learning systems makes it hard to decide what architecture and algorithm to use for a given problem. In science and engineering, modeling is a methodology used to understand…

Machine Learning · Computer Science 2023-09-15 Michael Y. Li , Erin Grant , Thomas L. Griffiths

A machine-learning-based framework for modeling the error introduced by surrogate models of parameterized dynamical systems is proposed. The framework entails the use of high-dimensional regression techniques (e.g., random forests, LASSO)…

Numerical Analysis · Computer Science 2017-06-02 Sumeet Trehan , Kevin Carlberg , Louis J. Durlofsky

Deep Gaussian Processes (DGPs) were proposed as an expressive Bayesian model capable of a mathematically grounded estimation of uncertainty. The expressivity of DPGs results from not only the compositional character but the distribution…

Machine Learning · Computer Science 2021-11-23 Chi-Ken Lu , Patrick Shafto

Building an accurate surrogate model for the spatio-temporal outputs of a computer simulation is a challenging task. A simple approach to improve the accuracy of the surrogate is to cluster the outputs based on similarity and build a…

Machine Learning · Computer Science 2023-07-06 Chandrika Kamath , Juliette S. Franzman

Complex engineering models are typically computationally demanding and defined by a high-dimensional parameter space challenging the comprehensive exploration of parameter effects and design optimization. To overcome this curse of…

Applications · Statistics 2024-03-01 Corey Arndt , Cody Crusenberry , Bozhi Heng , Rochelle Butler , Stephanie TerMaath

Fatigue-induced damage is still one of the most uncertain failures in structural systems. Prognostic health monitoring together with surrogate models can help to predict the fatigue life of a structure. This paper demonstrates how to…

Signal Processing · Electrical Eng. & Systems 2020-10-27 Simon Pfingstl , Jose Ignacio Rios , Horst Baier , Markus Zimmermann

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…

Optimization and Control · Mathematics 2024-12-20 Augustina C. Amakor , Manuel B. Berkemeier , Meike Wohlleben , Walter Sextro , Sebastian Peitz

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,…

Systems and Control · Electrical Eng. & Systems 2025-09-05 E. Javier Olucha , Rajiv Singh , Amritam Das , Roland Tóth

The quantification of uncertainties of computer simulations due to input parameter uncertainties is paramount to assess a model's credibility. For computationally expensive simulations, this is often feasible only via surrogate models that…

Methodology · Statistics 2021-08-30 Sascha Ranftl , Wolfgang von der Linden

Many fields of science and engineering rely on running simulations with complex and computationally expensive models to understand the involved processes in the system of interest. Nevertheless, the high cost involved hamper reliable and…

Machine Learning · Computer Science 2019-12-16 Daniel Heestermans Svendsen , Luca Martino , Gustau Camps-Valls

This paper introduces a novel two-stage machine learning-based surrogate modeling framework to address inverse problems in scientific and engineering fields. In the first stage of the proposed framework, a machine learning model termed the…

Machine Learning · Computer Science 2024-01-05 Farhad Pourkamali-Anaraki , Jamal F. Husseini , Evan J. Pineda , Brett A. Bednarcyk , Scott E. Stapleton