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相关论文: Overview of Gaussian process based multi-fidelity …

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Multi-fidelity methods are prominently used when cheaply-obtained, but possibly biased and noisy, observations must be effectively combined with limited or expensive true data in order to construct reliable models. This arises in both…

机器学习 · 统计学 2019-03-19 Kurt Cutajar , Mark Pullin , Andreas Damianou , Neil Lawrence , Javier González

Multi-fidelity approaches combine different models built on a scarce but accurate data-set (high-fidelity data-set), and a large but approximate one (low-fidelity data-set) in order to improve the prediction accuracy. Gaussian Processes…

机器学习 · 计算机科学 2020-06-30 Ali Hebbal , Loic Brevault , Mathieu Balesdent , El-Ghazali Talbi , Nouredine Melab

Estimating probability of failure in aerospace systems is a critical requirement for flight certification and qualification. Failure probability estimation involves resolving tails of probability distribution, and Monte Carlo sampling…

数值分析 · 数学 2022-09-22 S. Ashwin Renganathan , Vishwas Rao , Ionel M. Navon

One of the main challenges in surrogate modeling is the limited availability of data due to resource constraints associated with computationally expensive simulations. Multi-fidelity methods provide a solution by chaining models in a…

Multi-fidelity models are of great importance due to their capability of fusing information coming from different numerical simulations, surrogates, and sensors. We focus on the approximation of high-dimensional scalar functions with low…

数值分析 · 数学 2023-09-13 Francesco Romor , Marco Tezzele , Markus Mrosek , Carsten Othmer , Gianluigi Rozza

In biomanufacturing, developing an accurate model to simulate the complex dynamics of bioprocesses is an important yet challenging task. This is partially due to the uncertainty associated with bioprocesses, high data acquisition cost, and…

机器学习 · 计算机科学 2022-11-29 Yuan Sun , Winton Nathan-Roberts , Tien Dung Pham , Ellen Otte , Uwe Aickelin

Multi-fidelity models provide a framework for integrating computational models of varying complexity, allowing for accurate predictions while optimizing computational resources. These models are especially beneficial when acquiring…

应用统计 · 统计学 2024-05-14 M. Giselle Fernández-Godino

Aircraft design relies heavily on solving challenging and computationally expensive Multidisciplinary Design Optimization problems. In this context, there has been growing interest in multi-fidelity models for Bayesian optimization to…

最优化与控制 · 数学 2026-04-01 Oihan Cordelier , Youssef Diouane , Nathalie Bartoli , Eric Laurendeau

Multifidelity models integrate data from multiple sources to produce a single approximator for the underlying process. Dense low-fidelity samples are used to reduce interpolation error, while sparse high-fidelity samples are used to…

机器学习 · 统计学 2024-02-27 Viv Bone , Chris van der Heide , Kieran Mackle , Ingo H. J. Jahn , Peter M. Dower , Chris Manzie

Multi-fidelity Gaussian process is a common approach to address the extensive computationally demanding algorithms such as optimization, calibration and uncertainty quantification. Adaptive sampling for multi-fidelity Gaussian process is a…

机器学习 · 统计学 2019-07-30 Sayan Ghosh , Jesper Kristensen , Yiming Zhang , Waad Subber , Liping Wang

Challenges in multi-fidelity modeling relate to accuracy, uncertainty estimation and high-dimensionality. A novel additive structure is introduced in which the highest fidelity solution is written as a sum of the lowest fidelity solution…

机器学习 · 计算机科学 2021-04-09 Wei W. Xing , Akeel A. Shah , Peng Wang , Shandian Zhe Qian Fu , Robert. M. Kirby

Gaussian processes are a widely embraced technique for regression and classification due to their good prediction accuracy, analytical tractability and built-in capabilities for uncertainty quantification. However, they suffer from the…

最优化与控制 · 数学 2024-02-07 Mickael Binois , Victor Picheny

With advances in scientific computing and mathematical modeling, complex scientific phenomena such as galaxy formations and rocket propulsion can now be reliably simulated. Such simulations can however be very time-intensive, requiring…

统计方法学 · 统计学 2024-02-29 Yi Ji , Simon Mak , Derek Soeder , J-F Paquet , Steffen A. Bass

Systems design processes are increasingly reliant on simulation models to inform design decisions. A pervasive issue within the systems engineering community is trusting in the models used to make decisions about complex systems. This work…

计算工程、金融与科学 · 计算机科学 2025-08-05 Edward Louis , Gregory Mocko , Evan Taylor

How can we efficiently gather information to optimize an unknown function, when presented with multiple, mutually dependent information sources with different costs? For example, when optimizing a robotic system, intelligently trading off…

机器学习 · 计算机科学 2018-11-05 Jialin Song , Yuxin Chen , Yisong Yue

In system analysis and design optimization, multiple computational models are typically available to represent a given physical system. These models can be broadly classified as high-fidelity models, which provide highly accurate…

机器学习 · 计算机科学 2024-11-01 Ruda Zhang , Negin Alemazkoor

In this paper we address a classification problem where two sources of labels with different levels of fidelity are available. Our approach is to combine data from both sources by applying a co-kriging schema on latent functions, which…

机器学习 · 计算机科学 2019-10-22 Nikita Klyuchnikov , Evgeny Burnaev

Multi-fidelity machine learning methods address the accuracy-efficiency trade-off by integrating scarce, resource-intensive high-fidelity data with abundant but less accurate low-fidelity data. We propose a practical multi-fidelity strategy…

机器学习 · 计算机科学 2025-03-26 Jiaxiang Yi , Ji Cheng , Miguel A. Bessa

Multi-fidelity methods combine inexpensive low-fidelity simulations with costly but high-fidelity simulations to produce an accurate model of a system of interest at minimal cost. They have proven useful in modeling physical systems and…

人工智能 · 计算机科学 2012-06-27 Erik J. Schlicht , Ritchie Lee , David H. Wolpert , Mykel J. Kochenderfer , Brendan Tracey

In many situations across computational science and engineering, multiple computational models are available that describe a system of interest. These different models have varying evaluation costs and varying fidelities. Typically, a…

数值分析 · 数学 2018-06-29 Benjamin Peherstorfer , Karen Willcox , Max Gunzburger
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