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Optimizing the reliability and the robustness of a design is important but often unaffordable due to high sample requirements. Surrogate models based on statistical and machine learning methods are used to increase the sample efficiency.…

机器学习 · 统计学 2022-05-06 Can Bogoclu , Dirk Roos , Tamara Nestorović

Adaptive designs are increasingly used in clinical trials and online experiments to improve participant outcomes by dynamically updating treatment allocation as data accumulate. In practice, experimenters often consider multiple candidate…

统计方法学 · 统计学 2026-04-08 Wenxin Zhang , Aaron Hudson , Maya Petersen , Mark van der Laan

One-shot decision making is required in situations in which we can evaluate a fixed number of solution candidates but do not have any possibility for further, adaptive sampling. Such settings are frequently encountered in neural network…

神经与进化计算 · 计算机科学 2019-12-23 Jakob Bossek , Pascal Kerschke , Aneta Neumann , Frank Neumann , Carola Doerr

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…

机器学习 · 计算机科学 2025-09-03 Julen Cestero , Marco Quartulli , Marcello Restelli

Surrogate models based on machine learning methods have become an important part of modern engineering to replace costly computer simulations. The data used for creating a surrogate model are essential for the model accuracy and often…

机器学习 · 统计学 2023-10-03 Sven Lämmle , Can Bogoclu , Kevin Cremanns , Dirk Roos

Sampling techniques are used in many fields, including design of experiments, image processing, and graphics. The techniques in each field are designed to meet the constraints specific to that field such as uniform coverage of the range of…

机器学习 · 计算机科学 2023-06-08 Chandrika Kamath

As uncertainty and sensitivity analysis of complex models grows ever more important, the difficulty of their timely realizations highlights a need for more efficient numerical operations. Non-intrusive Polynomial Chaos methods are highly…

数值分析 · 数学 2022-04-14 Konstantin Weise , Erik Müller , Lucas Poßner , Thomas R. Knösche

Designing an inexpensive approximate surrogate model that captures the salient features of an expensive high-fidelity behavior is a prevalent approach in design optimization. In recent times, Deep Learning (DL) models are being used as a…

机器学习 · 计算机科学 2022-07-12 Harsh Vardhan , Janos Sztipanovits

It has been shown that cooperative coevolution (CC) can effectively deal with large scale optimization problems (LSOPs) through a divide-and-conquer strategy. However, its performance is severely restricted by the current…

神经与进化计算 · 计算机科学 2018-03-05 Bei Pang , Zhigang Ren , Yongsheng Liang , An Chen

Accurate surrogate construction for PDE-driven high-dimensional rare-event simulation is challenging when performance evaluations are expensive. Since a globally accurate surrogate may require many high-fidelity evaluations, adaptive…

数值分析 · 数学 2026-05-18 Zhiwei Gao , George Karniadakis

In this paper, a new sequential surrogate-based optimization (SSBO) algorithm is developed, which aims to improve the global search ability and local search efficiency for the global optimization of expensive black-box models. The proposed…

机器学习 · 统计学 2018-11-30 Chunlin Gong , Xu Li , Hua Su , Jinlei Guo , Liangxian Gu

This paper describes a simple, but effective sampling method for optimizing and learning a discrete approximation (or surrogate) of a multi-dimensional function along a one-dimensional line segment of interest. The method does not rely on…

最优化与控制 · 数学 2023-07-21 Dimitri J. Papageorgiou , Jan Kronqvist , Krishnan Kumaran

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

Stochastic inverse problems are generally solved by some form of finite sampling of a space of uncertain parameters. For computationally expensive models, surrogate response surfaces are often employed to increase the number of samples used…

数值分析 · 数学 2018-07-04 Steven Mattis , Barbara Wohlmuth

The high computational cost of phase field simulations remains a major limitation for predicting dendritic solidification in metals, particularly in additive manufacturing, where microstructural control is critical. This work presents a…

Offline design optimization problem arises in numerous science and engineering applications including material and chemical design, where expensive online experimentation necessitates the use of in silico surrogate functions to predict and…

机器学习 · 计算机科学 2025-03-05 Minh Hoang , Azza Fadhel , Aryan Deshwal , Janardhan Rao Doppa , Trong Nghia Hoang

This paper introduces a practical sampling method for training surrogate models in the context of uncertainty propagation. We propose a heuristic method to uniformly draw samples within highest density regions of the density given by the…

统计方法学 · 统计学 2025-09-15 Jocelyn Minini , Micha Wasem

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

Surrogate models provide a low computational cost alternative to evaluating expensive functions. The construction of accurate surrogate models with large numbers of independent variables is currently prohibitive because it requires a large…

机器学习 · 计算机科学 2017-08-10 Mohamed Amine Bouhlel , Joaquim R. R. A. Martins

In real case applications within the virtual prototyping process, it is not always possible to reduce the complexity of the physical models and to obtain numerical models which can be solved quickly. Usually, every single numerical…

统计方法学 · 统计学 2024-08-08 Thomas Most , Johannes Will
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