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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

We present methods for emulating the matter power spectrum by combining information from cosmological $N$-body simulations at different resolutions. An emulator allows estimation of simulation output by interpolating across the parameter…

宇宙学与河外天体物理 · 物理学 2021-11-17 Ming-Feng Ho , Simeon Bird , Christian R. Shelton

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

Across many domains of science, stochastic models are an essential tool to understand the mechanisms underlying empirically observed data. Models can be of different levels of detail and accuracy, with models of high-fidelity (i.e., high…

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

Composite materials exhibit strongly hierarchical and anisotropic properties governed by coupled mechanisms spanning constituents, plies, laminates, structures, and manufacturing history. This intrinsic complexity makes predictive modeling…

计算物理 · 物理学 2026-05-05 Haizhou Wen , Elham Kiyani , Gang Li , Srikanth Pilla , George Em Karniadakis , Zhen Li

Machine learning techniques typically rely on large datasets to create accurate classifiers. However, there are situations when data is scarce and expensive to acquire. This is the case of studies that rely on state-of-the-art computational…

机器学习 · 计算机科学 2019-10-02 Francisco Sahli Costabal , Paris Perdikaris , Ellen Kuhl , Daniel E. Hurtado

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

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 modeling and calibration are data fusion tasks that ubiquitously arise in engineering design. In this paper, we introduce a novel approach based on latent-map Gaussian processes (LMGPs) that enables efficient and accurate…

机器学习 · 统计学 2022-01-17 Nicholas Oune , Jonathan Tammer Eweis-Labolle , Ramin Bostanabad

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

In nuclear and particle physics, reconciling sophisticated simulations with experimental data is vital for understanding complex systems like the Quark Gluon Plasma (QGP) generated in heavy-ion collisions. However, computational demands…

核理论 · 物理学 2026-02-03 Hendrik Roch , Syed Afrid Jahan , Chun Shen

The design process of complex systems such as new configurations of aircraft or launch vehicles is usually decomposed in different phases which are characterized for instance by the depth of the analyses in terms of number of design…

机器学习 · 计算机科学 2020-07-01 Loïc Brevault , Mathieu Balesdent , Ali Hebbal

The design space for inertial confinement fusion (ICF) experiments is vast and experiments are extremely expensive. Researchers rely heavily on computer simulations to explore the design space in search of high-performing implosions.…

机器学习 · 计算机科学 2021-05-19 K. D. Humbird , J. L. Peterson , J. Salmonson , B. K. Spears

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

Estimating the probability of failure for complex real-world systems using high-fidelity computational models is often prohibitively expensive, especially when the probability is small. Exploiting low-fidelity models can make this process…

Heavy-ion collisions provide a window into the properties of many-body systems of deconfined quarks and gluons. Understanding the collective properties of quarks and gluons is possible by comparing models of heavy-ion collisions to…

核理论 · 物理学 2025-02-06 Jean-François Paquet

In this work, we propose a framework that combines the approximation-theory-based multifidelity method and Gaussian-process-regression-based multifidelity method to achieve data-model convergence when stochastic simulation models and sparse…

机器学习 · 统计学 2018-12-10 Xiu Yang , Xueyu Zhu , Jing Li

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

Fitting a theoretical model to experimental data in a Bayesian manner using Markov chain Monte Carlo typically requires one to evaluate the model thousands (or millions) of times. When the model is a slow-to-compute physics simulation,…

机器学习 · 统计学 2022-08-25 Steven Stetzler , Michael Grosskopf , Earl Lawrence
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