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Learning data representations under uncertainty is an important task that emerges in numerous scientific computing and data analysis applications. However, uncertainty quantification techniques are computationally intensive and become…

Machine Learning · Computer Science 2025-08-06 Paz Fink Shustin , Shashanka Ubaru , Małgorzata J. Zimoń , Songtao Lu , Vasileios Kalantzis , Lior Horesh , Haim Avron

Simulation optimization is often hindered by the high cost of running simulations. Multi-fidelity methods offer a promising solution by incorporating cheaper, lower-fidelity simulations to reduce computational time. However, the bias in…

Optimization and Control · Mathematics 2025-08-07 Yunsoo Ha , Juliane Mueller

Finite-state models are widely used in software engineering, especially in control systems development. Commonly, in control applications such models are developed manually, hence, keeping them up-to-date requires extra effort. To simplify…

Formal Languages and Automata Theory · Computer Science 2020-02-05 Konstantin Chukharev , Daniil Chivilikhin

The aim of this study is to develop surrogate models for quick, accurate prediction of thrust forces generated through flapping fin propulsion for given operating conditions and fin geometries. Different network architectures and…

Computational Physics · Physics 2019-11-01 Kamal Viswanath , Alisha Sharma , Saketh Gabbita , Jason Geder , Ravi Ramamurti , Marius Pruessner

This study presents an enhanced multi-fidelity Deep Operator Network (DeepONet) framework for efficient spatio-temporal flow field prediction when high-fidelity data is scarce. Key innovations include: a merge network replacing traditional…

Fluid Dynamics · Physics 2025-07-18 Sunwoong Yang , Youngkyu Lee , Namwoo Kang

The goal of this paper is to make a strong point for the usage of dynamical models when using reinforcement learning (RL) for feedback control of dynamical systems governed by partial differential equations (PDEs). To breach the gap between…

Machine Learning · Computer Science 2023-03-14 Stefan Werner , Sebastian Peitz

Aeroelasticity in the transonic regime is challenging because of the strongly nonlinear phenomena involved in the formation of shock waves and flow separation. In this work, we introduce a computationally efficient framework for accurate…

Fluid Dynamics · Physics 2023-04-17 Nicola Fonzi , Steven L. Brunton , Urban Fasel

Machine learning techniques have been used in the past using Monte Carlo samples to construct predictors of the dynamic stability of power systems. In this paper we move beyond the task of prediction and propose a comprehensive approach to…

Systems and Control · Computer Science 2019-08-09 Jochen L. Cremer , Ioannis Konstantelos , Simon H. Tindemans , Goran Strbac

High-speed online trajectory planning for UAVs poses a significant challenge due to the need for precise modeling of complex dynamics while also being constrained by computational limitations. This paper presents a multi-fidelity…

Robotics · Computer Science 2025-08-08 Gilhyun Ryou , Geoffrey Wang , Sertac Karaman

In computational fluid dynamics, there is an inevitable trade off between accuracy and computational cost. In this work, a novel multi-fidelity deep generative model is introduced for the surrogate modeling of high-fidelity turbulent flow…

Computational Physics · Physics 2021-01-12 Nicholas Geneva , Nicholas Zabaras

Learning accurate predictive models of real-world dynamic phenomena (e.g., climate, biological) remains a challenging task. One key issue is that the data generated by both natural and artificial processes often comprise time series that…

Machine Learning · Computer Science 2023-06-21 Abdul Fatir Ansari , Alvin Heng , Andre Lim , Harold Soh

Accurately modelling the Earth's climate has widespread applications ranging from forecasting local weather to understanding global climate change. Low-fidelity simulations of climate phenomena are readily available, but high-fidelity…

Atmospheric and Oceanic Physics · Physics 2021-09-17 Ben Hudson , Frederik Nijweide , Isaac Sebenius

We present a multi-fidelity method for uncertainty quantification of parameter estimates in complex systems, leveraging generative models trained to sample the target conditional distribution. In the Bayesian inference setting, traditional…

Machine Learning · Computer Science 2025-04-03 Caroline Tatsuoka , Minglei Yang , Dongbin Xiu , Guannan Zhang

With rapid progress in deep learning, neural networks have been widely used in scientific research and engineering applications as surrogate models. Despite the great success of neural networks in fitting complex systems, two major…

Machine Learning · Computer Science 2023-06-13 Yuwen Deng , Wang Kang , Wei W. Xing

To reduce training costs, several Deep neural networks (DNNs) that can learn from a small set of HF data and a sufficient number of low-fidelity (LF) data have been proposed. In these established neural networks, a parallel structure is…

Computational Physics · Physics 2024-05-08 Zhihui Li , Francesco Montomoli

In chemical process engineering, surrogate models of complex systems are often necessary for tasks of domain exploration, sensitivity analysis of the design parameters, and optimization. A suite of computational fluid dynamics (CFD)…

Computational Engineering, Finance, and Science · Computer Science 2020-09-09 Gabriel F. N. Gonçalves , Assen Batchvarov , Yuyi Liu , Yuxin Liu , Lachlan Mason , Indranil Pan , Omar K. Matar

Dynamical models estimate and predict the temporal evolution of physical systems. State Space Models (SSMs) in particular represent the system dynamics with many desirable properties, such as being able to model uncertainty in both the…

Machine Learning · Computer Science 2021-09-14 Changhao Chen , Chris Xiaoxuan Lu , Bing Wang , Niki Trigoni , Andrew Markham

Multi-fidelity modelling arises in many situations in computational science and engineering world. It enables accurate inference even when only a small set of accurate data is available. Those data often come from a high-fidelity model,…

Machine Learning · Statistics 2022-04-12 Jiahao Zhang , Shiqi Zhang , Guang Lin

Active multi-fidelity surrogate modeling is developed for multi-condition airfoil shape optimization to reduce high-fidelity CFD cost while retaining RANS-level accuracy. The framework couples a low-fidelity-informed Gaussian process…

Flexible spacecraft structures present significant challenges for physical and control system design due to nonlinear dynamics, mission constraints, environmental variables, and changing operational conditions. This paper presents a…

Systems and Control · Electrical Eng. & Systems 2026-01-13 Matthew Hilsenrath , Daniel R. Herber