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This paper considers the surrogate modeling of a complex numerical code in a multifidelity framework when the code output is a time series. Using an experimental design of the low-and high-fidelity code levels, an original Gaussian process…

Statistics Theory · Mathematics 2022-02-24 Baptiste Kerleguer

Temperature field prediction is of great importance in the thermal design of systems engineering, and building the surrogate model is an effective way for the task. Generally, large amounts of labeled data are required to guarantee a good…

Machine Learning · Computer Science 2023-01-18 Yunyang Zhang , Zhiqiang Gong , Weien Zhou , Xiaoyu Zhao , Xiaohu Zheng , Wen Yao

Climate change has intensified the frequency and severity of wildfires, making rapid and accurate prediction of fire spread essential for effective mitigation and response. Physics-based simulators such as FARSITE offer high-fidelity…

Machine Learning · Computer Science 2025-11-27 Taehoon Kang , Taeyong Kim

Multi-fidelity (MF) regression often operates in regimes of extreme data imbalance, where the commonly-used Gaussian-process (GP) surrogates struggle with cubic scaling costs and overfit to sparse high-fidelity observations, limiting…

Machine Learning · Computer Science 2026-02-02 Rosen Ting-Ying Yu , Nicholas Sung , Faez Ahmed

Long simulation times in climate sciences typically require coarse grids due to computational constraints. Nonetheless, unresolved subscale information significantly influences the prognostic variables and can not be neglected for reliable…

Numerical Analysis · Mathematics 2018-02-22 Konrad Simon , Jörn Behrens

Wildland fires are complex multi-physics problems that span wide spatial scale ranges. Capturing this complexity in computationally affordable numerical simulations for process studies and "outer-loop" techniques (e.g., optimization and…

Autonomous ground vehicles operating in shallow water or flood-prone terrains require dynamic models that account for hydrodynamic forces. However, the simulation and planning tools currently available either lack the physical fidelity or…

Robotics · Computer Science 2026-05-19 Ammar Waheed , Luke Gallantree , Zohaib Hasnain

Machine learning surrogates are increasingly employed to replace expensive computational models for physics-based reliability analysis. However, their use introduces epistemic uncertainty from model approximation errors, which couples with…

Machine Learning · Computer Science 2025-09-24 Amirreza Tootchi , Xiaoping Du

Multi-fidelity surrogate learning is important for physical simulation related applications in that it avoids running numerical solvers from scratch, which is known to be costly, and it uses multi-fidelity examples for training and greatly…

Machine Learning · Computer Science 2023-11-10 Zheng Wang , Shibo Li , Shikai Fang , Shandian Zhe

We present an overview of a modeling environment, consisting of a coupled atmosphere-wildfire model, utilities for visualization, data processing, and diagnostics, open source software repositories, and a community wiki. The fire model,…

Propagating uncertainties introduced by chemical reaction rate parameters to high-fidelity numerical simulations of complex combustion devices is necessary to ascertain impact on computational predictions. However, the high cost of detailed…

Computational Physics · Physics 2026-03-12 Vansh Sharma , Shuzhi Zhang , Rahul Jain , Venkat Raman

Wildfires can be devastating, causing significant damage to property, ecosystem disruption, and loss of life. Forecasting the evolution of wildfire boundaries is essential to real-time wildfire management. To this end, substantial attention…

Methodology · Statistics 2023-02-13 Myungsoo Yoo , Christopher K. Wikle

Various frameworks have been proposed to predict mechanical system responses by combining data from different fidelities for design optimization and uncertainty quantification as reviewed by Fern\'andez-Godino et al. and Peherstorfer et…

Data Analysis, Statistics and Probability · Physics 2017-05-09 Yiming Zhang , Nam-Ho Kim , Chanyoung Park , Raphael T. Haftka

Uncertainty calibration in pre-trained transformers is critical for their reliable deployment in risk-sensitive applications. Yet, most existing pre-trained transformers do not have a principled mechanism for uncertainty propagation through…

In an era where scientific experimentation is often costly, multi-fidelity emulation provides a powerful tool for predictive scientific computing. While there has been notable work on multi-fidelity modeling, existing models do not…

Estimating the parameters of compact binaries which coalesce and produce gravitational waves is a challenging Bayesian inverse problem. Gravitational-wave parameter estimation lies within the class of multifidelity problems, where a variety…

General Relativity and Quantum Cosmology · Physics 2024-05-31 Bassel Saleh , Aaron Zimmerman , Peng Chen , Omar Ghattas

Hyper-differential sensitivity analysis with respect to model discrepancy was recently developed to enable uncertainty quantification for optimization problems. The approach consists of two primary steps: (i) Bayesian calibration of the…

Numerical Analysis · Mathematics 2025-10-09 Joseph Hart , Bart van Bloemen Waanders , Jixian Li , Timbwaoga A. J. Ouermi , Chris R. Johnson

Solving inverse problems in cardiovascular modeling is particularly challenging due to the high computational cost of running high-fidelity simulations. In this work, we focus on Bayesian parameter estimation and explore different methods…

Machine Learning · Statistics 2025-12-22 Chloe H. Choi , Andrea Zanoni , Daniele E. Schiavazzi , Alison L. Marsden

Adapting large-scale foundation models to new domains with limited supervision remains a fundamental challenge due to latent distribution mismatch, unstable optimization dynamics, and miscalibrated uncertainty propagation. This paper…

Machine Learning · Computer Science 2026-03-27 Aueaphum Aueawatthanaphisut , Kuepon Auewattanapisut

The performance of machine learning surrogates is critically dependent on data quality and quantity. This presents a major challenge, as high-fidelity (HF) data is often scarce and computationally expensive to acquire, while low-fidelity…

Machine Learning · Computer Science 2026-02-03 Jice Zeng , David Barajas-Solano , Hui Chen