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This paper presents a methodological framework for training, self-optimising, and self-organising surrogate models to approximate and speed up multiobjective optimisation of technical systems based on multiphysics simulations. At the hand…

Machine Learning · Computer Science 2024-04-04 Diego Botache , Jens Decke , Winfried Ripken , Abhinay Dornipati , Franz Götz-Hahn , Mohamed Ayeb , Bernhard Sick

Model merging techniques aim to integrate the abilities of multiple models into a single model. Most model merging techniques have hyperparameters, and their setting affects the performance of the merged model. Because several existing…

Machine Learning · Computer Science 2025-09-03 Rio Akizuki , Yuya Kudo , Nozomu Yoshinari , Yoichi Hirose , Toshiyuki Nishimoto , Kento Uchida , Shinichi Shirakawa

The complex and computationally expensive nature of landscape evolution models pose significant challenges in the inference and optimisation of unknown parameters. Bayesian inference provides a methodology for estimation and uncertainty…

Machine Learning · Statistics 2020-06-30 Rohitash Chandra , Danial Azam , Arpit Kapoor , R. Dietmar Müller

Methods for generating sequences of surrogates approximating fine scale models of two-phase random heterogeneous media are presented that are designed to adaptively control the modeling error in key quantities of interest (QoIs). For…

Numerical Analysis · Mathematics 2019-03-07 Laura Scarabosio , Barbara Wohlmuth , J. Tinsley Oden , Danial Faghihi

Microstructure evolution, which plays a critical role in determining materials properties, is commonly simulated by the high-fidelity but computationally expensive phase-field method. To address this, we approximate microstructure evolution…

Materials Science · Physics 2024-11-22 Saurabh Tiwari , Prathamesh Satpute , Supriyo Ghosh

To address the challenges of reliability analysis in high-dimensional probability spaces, this paper proposes a new metamodeling method that couples active subspace, heteroscedastic Gaussian process, and active learning. The active subspace…

Applications · Statistics 2024-04-11 Jungho Kim , Ziqi Wang , Junho Song

Supervised Machine Learning (SML) algorithms, such as Gradient Boosting, Random Forest, and Neural Networks, have become popular in recent years due to their superior predictive performance over traditional statistical methods. However,…

Machine Learning · Statistics 2020-07-30 Linwei Hu , Jie Chen , Vijayan N. Nair , Agus Sudjianto

We propose a novel method for gradient-based optimization of black-box simulators using differentiable local surrogate models. In fields such as physics and engineering, many processes are modeled with non-differentiable simulators with…

Machine Learning · Computer Science 2020-09-30 Sergey Shirobokov , Vladislav Belavin , Michael Kagan , Andrey Ustyuzhanin , Atılım Güneş Baydin

Optimal design is a critical yet challenging task within many applications. This challenge arises from the need for extensive trial and error, often done through simulations or running field experiments. Fortunately, sequential optimal…

Machine Learning · Computer Science 2025-03-25 Xubo Yue , Raed Al Kontar , Albert S. Berahas , Yang Liu , Blake N. Johnson

Adjoint-based shape optimization of ship hulls is a powerful tool for addressing high-dimensional design problems in naval architecture, particularly in minimizing the ship resistance. However, its application to vessels that employ complex…

Large Language Models (LLMs) have achieved exceptional performance across diverse domains through training on massive datasets. However, scaling LLMs to support multiple downstream domain applications remains a significant challenge,…

Computation and Language · Computer Science 2025-02-18 Shaomang Huang , Jianfeng Pan , Min Peng , Hanzhong Zheng

Machine learning surrogate emulators are needed in engineering design and optimization tasks to rapidly emulate computationally expensive physics-based models. In micromechanics problems the local full-field response variables are desired…

Computational Engineering, Finance, and Science · Computer Science 2024-05-17 Patxi Fernandez-Zelaia , Jason Mayeur , Jiahao Cheng , Yousub Lee , Kevin Knipe , Kai Kadau

Polynomial Chaos Expansions (PCEs) are widely recognized for their efficient computational performance in surrogate modeling. Yet, a robust framework to quantify local model errors is still lacking. While the local uncertainty of PCE…

Methodology · Statistics 2026-01-26 A. Hatstatt , X. Zhu , B. Sudret

Building design optimization often depends on physics-based simulation tools such as EnergyPlus, which, although accurate, are computationally expensive and slow. Surrogate models provide a faster alternative, yet most are…

Machine Learning · Computer Science 2026-03-13 Piragash Manmatharasan , Girma Bitsuamlak , Katarina Grolinger

Sample efficiency in the face of computationally expensive simulations is a common concern in surrogate modeling. Current strategies to minimize the number of samples needed are not as effective in simulated environments with wide state…

Machine Learning · Computer Science 2025-09-03 Julen Cestero , Marco Quartulli , Marcello Restelli

Multi-objective optimization is a common problem in practical applications, and multi-objective evolutionary algorithm (MOEA) is considered as one of the effective methods to solve these problems. However, their randomness sometimes…

Neural and Evolutionary Computing · Computer Science 2024-10-04 Wanyi Liu , Long Chen , Zhenzhou Tang

There is now significant historical data available on decision making in organizations, consisting of the decision problem, what decisions were made, and how desirable the outcomes were. Using this data, it is possible to learn a surrogate…

Neural and Evolutionary Computing · Computer Science 2020-04-23 Olivier Francon , Santiago Gonzalez , Babak Hodjat , Elliot Meyerson , Risto Miikkulainen , Xin Qiu , Hormoz Shahrzad

Mixture models are a standard approach to dealing with heterogeneous data with non-i.i.d. structure. However, when the dimension $p$ is large relative to sample size $n$ and where either or both of means and covariances/graphical models may…

Machine Learning · Statistics 2019-02-25 Bernd Taschler , Frank Dondelinger , Sach Mukherjee

A promising direction towards improving the performance of wave energy converter (WEC) farms is to leverage a system-level integrated approach known as control co-design (CCD). A WEC farm CCD problem may entail decision variables associated…

Systems and Control · Electrical Eng. & Systems 2024-07-11 Saeed Azad , Daniel R. Herber , Suraj Khanal , Gaofeng Jia

Surrogate Optimization (SO) algorithms have shown promise for optimizing expensive black-box functions. However, their performance is heavily influenced by hyperparameters related to sampling and surrogate fitting, which poses a challenge…

Machine Learning · Computer Science 2023-10-13 Nazanin Nezami , Hadis Anahideh
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