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Despite the successful implementations of physics-informed neural networks in different scientific domains, it has been shown that for complex nonlinear systems, achieving an accurate model requires extensive hyperparameter tuning, network…

Computational Engineering, Finance, and Science · Computer Science 2022-11-30 Milad Ramezankhani , Amir Nazemi , Apurva Narayan , Heinz Voggenreiter , Mehrtash Harandi , Rudolf Seethaler , Abbas S. Milani

We present a safe-by-design trajectory planning and tracking framework for nonlinear dynamical systems using a hierarchy of system models. The planning layer uses a low-fidelity model to plan a feasible trajectory satisfying the planning…

Systems and Control · Electrical Eng. & Systems 2022-01-13 Katherine S. Schweidel , He Yin , Stanley W. Smith , Murat Arcak

Robust controllers that stabilize dynamical systems even under disturbances and noise are often formulated as solutions of nonsmooth, nonconvex optimization problems. While methods such as gradient sampling can handle the nonconvexity and…

Optimization and Control · Mathematics 2023-05-01 Steffen W. R. Werner , Michael L. Overton , Benjamin Peherstorfer

In this research, a new data mining-based design approach has been developed for designing complex mechanical systems such as a crashworthy passenger car with uncertainty modeling. The method allows exploring the big crash simulation…

Systems and Control · Electrical Eng. & Systems 2021-07-14 Xianping Du , Binhui Jiang , Feng Zhu

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

In the early stages of aerospace design, reduced order models (ROMs) are crucial for minimizing computational costs associated with using physics-rich field information in many-query scenarios requiring multiple evaluations. The intricacy…

Machine Learning · Computer Science 2024-02-28 Bilal Mufti , Christian Perron , Dimitri N. Mavris

Controlling instabilities in complex dynamical systems is challenging in scientific and engineering applications. Deep reinforcement learning (DRL) has seen promising results for applications in different scientific applications. The…

Machine Learning · Computer Science 2025-04-09 Luning Sun , Xin-Yang Liu , Siyan Zhao , Aditya Grover , Jian-Xun Wang , Jayaraman J. Thiagarajan

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…

Autonomous vehicles rely on accurate trajectory prediction to inform decision-making processes related to navigation and collision avoidance. However, current trajectory prediction models show signs of overfitting, which may lead to unsafe…

Robotics · Computer Science 2024-04-23 Jeroen Hagenus , Frederik Baymler Mathiesen , Julian F. Schumann , Arkady Zgonnikov

This work proposes a hybrid modeling framework based on recurrent neural networks (RNNs) and the finite element (FE) method to approximate model discrepancies in time dependent, multi-fidelity problems, and use the trained hybrid models to…

Computational Engineering, Finance, and Science · Computer Science 2024-02-20 Moritz von Tresckow , Herbert De Gersem , Dimitrios Loukrezis

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…

Numerical Analysis · Mathematics 2022-09-22 S. Ashwin Renganathan , Vishwas Rao , Ionel M. Navon

In many situations across computational science and engineering, multiple computational models are available that describe a system of interest. These different models have varying evaluation costs and varying fidelities. Typically, a…

Numerical Analysis · Mathematics 2018-06-29 Benjamin Peherstorfer , Karen Willcox , Max Gunzburger

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

Path planning for autonomous vehicles in arbitrary environments requires a guarantee of safety, but this can be impractical to ensure in real-time when the vehicle is described with a high-fidelity model. To address this problem, this paper…

Systems and Control · Computer Science 2017-05-02 Shreyas Kousik , Sean Vaskov , Matthew Johnson-Roberson , Ramanarayan Vasudevan

This paper provides a quantitative method for estimating the risk associated with candidate transportation technology, before it is developed and deployed. The proposed solution extends previous methods that rely exclusively on low-fidelity…

Applications · Statistics 2017-02-02 Erik J. Schlicht , Nichole L. Morris

The design and optimisation of aircraft wings are critical tasks in aerospace engineering, requiring a balance between structural integrity, aerostructural performance, and manufacturability. This multifaceted challenge involves the…

Computational Engineering, Finance, and Science · Computer Science 2024-11-06 Hauke Maathuis , Saullo G. P. Castro , Roeland De Breuker

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

Rigid-bodied robots often lack compliance needed to adapt to unstructured environments, while fully soft robots, though highly adaptable, struggle with scalability and load capacity. In nature, musculoskeletal systems balance strength and…

Computational Engineering, Finance, and Science · Computer Science 2026-05-29 Hiroki Kobayashi , Yuki Takaha , Changyoung Yuhn , Yuki Sato , Sunao Tomita , Atsushi Kawamoto , Tsuyoshi Nomura

With the rapidly growing interest in autonomous navigation, the body of research on motion planning and collision avoidance techniques has enjoyed an accelerating rate of novel proposals and developments. However, the complexity of new…

Robotics · Computer Science 2018-06-06 Vahid Behzadan , Arslan Munir

Reduced-order models that accurately abstract high fidelity models and enable faster simulation is vital for real-time, model-based diagnosis applications. In this paper, we outline a novel hybrid modeling approach that combines machine…

Signal Processing · Electrical Eng. & Systems 2020-03-06 Ion Matei , Johan de Kleer , Alexander Feldman , Rahul Rai , Souma Chowdhury