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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…

Data-driven surrogate models are widely used for applications such as design optimization and uncertainty quantification, where repeated evaluations of an expensive simulator are required. For most partial differential equation (PDE)…

Computational Physics · Physics 2019-10-18 Wei Xing , Robert M. Kirby , Shandian Zhe

We introduce a novel continual learning method based on multifidelity deep neural networks. This method learns the correlation between the output of previously trained models and the desired output of the model on the current training…

Numerical Analysis · Mathematics 2024-07-01 Amanda Howard , Yucheng Fu , Panos Stinis

Computer simulations are becoming an essential tool in many scientific fields from molecular dynamics to aeronautics. In glaciology, future predictions of sea level change require input from ice sheet models. Due to uncertainties in the…

Physics-informed neural networks have emerged as an alternative method for solving partial differential equations. However, for complex problems, the training of such networks can still require high-fidelity data which can be expensive to…

Machine Learning · Computer Science 2023-03-28 Wenqian Chen , Panos Stinis

Due to their cost, experiments for inertial confinement fusion (ICF) heavily rely on numerical simulations to guide design. As simulation technology progresses, so too can the fidelity of models used to plan for new experiments. However,…

Plasma Physics · Physics 2024-06-11 J. Wang , N. Chiang , A. Gillette , J. L. Peterson

Numerical models are widely used to simulate the earth system, but they are computationally expensive and often depend on many uncertain input parameters. Their effective use requires calibration and uncertainty quantification, which…

Methodology · Statistics 2026-03-06 Tristan Contant , Yawen Guan , Ander Wilson , Adrian K. Turner , Deborah Sulsky

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…

Machine Learning · Computer Science 2024-11-01 Ruda Zhang , Negin Alemazkoor

Multi-fidelity simulation is a widely used strategy to reduce the computational cost of many-query numerical simulation tasks such as uncertainty quantification, design space exploration, and design optimization. The reduced basis approach…

Numerical Analysis · Mathematics 2025-09-17 Murray Cutforth , Tiffany Fan , Tony Zahtila , Alireza Doostan , Eric Darve

In this work, we propose a network which can utilize computational cheap low-fidelity data together with limited high-fidelity data to train surrogate models, where the multi-fidelity data are generated from multiple underlying models. The…

Computational Physics · Physics 2020-10-06 Yating Wang , Guang Lin

We consider the problem of optimizing a robot morphology to achieve the best performance for a target task, under computational resource limitations. The evaluation process for each morphological design involves learning a controller for…

Robotics · Computer Science 2020-12-10 Sha Hu , Zeshi Yang , Greg Mori

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

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

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.…

Machine Learning · Computer Science 2021-05-19 K. D. Humbird , J. L. Peterson , J. Salmonson , B. K. Spears

Deep reinforcement learning can seamlessly transfer agile locomotion and navigation skills from the simulator to real world. However, bridging the sim-to-real gap with domain randomization or adversarial methods often demands expert physics…

Robotics · Computer Science 2025-04-14 Youwei Yu , Lantao Liu

Multifidelity simulation methodologies are often used in an attempt to judiciously combine low-fidelity and high-fidelity simulation results in an accuracy-increasing, cost-saving way. Candidates for this approach are simulation…

Computational Physics · Physics 2023-01-09 Michael Penwarden , Shandian Zhe , Akil Narayan , Robert M. Kirby

Control of legged robots is a challenging problem that has been investigated by different approaches, such as model-based control and learning algorithms. This work proposes a novel Imitating and Finetuning Model Predictive Control (IFM)…

Robotics · Computer Science 2026-05-28 Donghoon Youm , Hyunyoung Jung , Hyeongjun Kim , Jemin Hwangbo , Hae-Won Park , Sehoon Ha

The key task of physical simulation is to solve partial differential equations (PDEs) on discretized domains, which is known to be costly. In particular, high-fidelity solutions are much more expensive than low-fidelity ones. To reduce the…

Machine Learning · Statistics 2020-06-11 Zheng Wang , Wei Xing , Robert Kirby , Shandian Zhe

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…

Machine Learning · Computer Science 2025-03-26 Jiaxiang Yi , Ji Cheng , Miguel A. Bessa

In the context of optimization approaches to engineering applications, time-consuming simulations are often utilized which can be configured to deliver solutions for various levels of accuracy, commonly referred to as different fidelity…

Computational Engineering, Finance, and Science · Computer Science 2022-05-17 Sander van Rijn , Sebastian Schmitt , Matthijs van Leeuwen , Thomas Bäck
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