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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…

Multi-fidelity Reinforcement Learning (RL) frameworks efficiently utilize computational resources by integrating analysis models of varying accuracy and costs. The prevailing methodologies, characterized by transfer learning, human-inspired…

Machine Learning · Computer Science 2025-03-25 Akash Agrawal , Christopher McComb

Existing variance reduction techniques used in stochastic simulations for rare event analysis still require a substantial number of model evaluations to estimate small failure probabilities. In the context of complex, nonlinear finite…

Machine Learning · Computer Science 2025-08-04 Liuyun Xu , Seymour M. J. Spence

A multi-fidelity (MF) active learning method is presented for design optimization problems characterized by noisy evaluations of the performance metrics. Namely, a generalized MF surrogate model is used for design-space exploration,…

Optimization and Control · Mathematics 2022-07-12 Riccardo Pellegrini , Jeroen Wackers , Riccardo Broglia , Andrea Serani , Michel Visonneau , Matteo Diez

Machine learning (ML) methods, which fit to data the parameters of a given parameterized model class, have garnered significant interest as potential methods for learning surrogate models for complex engineering systems for which…

Machine Learning · Statistics 2024-07-03 Elizabeth Qian , Dayoung Kang , Vignesh Sella , Anirban Chaudhuri

Operator learning frameworks, because of their ability to learn nonlinear maps between two infinite dimensional functional spaces and utilization of neural networks in doing so, have recently emerged as one of the more pertinent areas in…

Machine Learning · Computer Science 2023-07-31 Akshay Thakur , Tapas Tripura , Souvik Chakraborty

In many fields of science and engineering, models with different fidelities are available. Physical experiments or detailed simulations that accurately capture the behavior of the system are regarded as high-fidelity models with low model…

Machine Learning · Computer Science 2021-09-22 Chi Zhang , Chaolin Song , Abdollah Shafieezadeh

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…

The reliability of atomistic simulations depends on the quality of the underlying energy models providing the source of physical information, for instance for the calculation of migration barriers in atomistic Kinetic Monte Carlo…

Active learning promises to provide an optimal training sample selection procedure in the construction of machine learning models. It often relies on minimizing the model's variance, which is assumed to decrease the prediction error. Still,…

Chemical Physics · Physics 2025-11-26 Vivin Vinod , Peter Zaspel

Computer simulations have become essential for analyzing complex systems, but high-fidelity simulations often come with significant computational costs. To tackle this challenge, multi-fidelity computer experiments have emerged as a…

Methodology · Statistics 2024-06-05 Junoh Heo , Chih-Li Sung

High-resolution simulation models are essential for representing complex physical systems, yet their substantial computational cost severely limits the number of feasible high-fidelity (HF) evaluations. This problem is often addressed…

Methodology · Statistics 2026-04-21 Hossein Mohammadi

A mobility map, which provides maximum achievable speed on a given terrain, is essential for path planning of autonomous ground vehicles in off-road settings. While physics-based simulations play a central role in creating next-generation,…

Machine Learning · Computer Science 2020-03-10 Gary R. Marple , David Gorsich , Paramsothy Jayakumar , Shravan Veerapaneni

Likelihood-free Bayesian inference algorithms are popular methods for calibrating the parameters of complex, stochastic models, required when the likelihood of the observed data is intractable. These algorithms characteristically rely…

Computation · Statistics 2021-12-23 Thomas P Prescott , David J Warne , Ruth E Baker

Simulating complex physical processes across a domain of input parameters can be very computationally expensive. Multi-fidelity surrogate modeling can resolve this issue by integrating cheaper simulations with the expensive ones in order to…

Methodology · Statistics 2026-02-03 Romain Boutelet , Chih-Li Sung

A multi-fidelity regression model is proposed for combining multiple datasets with different fidelities, particularly abundant low-fidelity data and scarce high-fidelity observations. The model builds upon recent multi-fidelity frameworks…

Fluid Dynamics · Physics 2023-11-21 Mohammad Hossein Saadat

Well placement optimization is commonly performed using population-based global stochastic search algorithms. These optimizations are computationally expensive due to the large number of multiphase flow simulations that must be conducted.…

Geophysics · Physics 2021-11-05 Haoyu Tang , Louis J. Durlofsky

Testing and evaluation are expensive but critical steps in the development of connected and automated vehicles (CAVs). In this paper, we develop an adaptive sampling framework to efficiently evaluate the accident rate of CAVs, particularly…

Robotics · Computer Science 2023-06-02 Xianliang Gong , Shuo Feng , Yulin Pan

Hard optimisation problems such as Boolean Satisfiability typically have long solving times and can usually be solved by many algorithms, although the performance can vary widely in practice. Research has shown that no single algorithm…

Machine Learning · Computer Science 2019-09-10 Riccardo Volpato , Guangyan Song

Outer loop tasks such as optimization, uncertainty quantification or inference can easily become intractable when the underlying high-fidelity model is computationally expensive. Similarly, data-driven architectures typically require large…

Machine Learning · Computer Science 2025-12-03 Cristian J. Villatoro , Gianluca Geraci , Daniele E. Schiavazzi
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