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This work leverages laser vibrometry and the weak form of the sparse identification of nonlinear dynamics (WSINDy) for partial differential equations to learn macroscale governing equations from full-field experimental data. In the…

Numerical Analysis · Mathematics 2024-10-01 Abigail C. Schmid , Alireza Doostan , Fatemeh Pourahmadian

Data-driven turbulence modeling is experiencing a surge in interest following algorithmic and hardware developments in the data sciences. We discuss an approach using the differentiable physics paradigm that combines known physics with…

This work presents an interpretable parametric surrogate model motivated by the need to identify a hydrodynamic model for resolving the trajectory of an object in real-time. The surrogate is formulated as a reduced-order model for a…

Microgrids (MGs) play a crucial role in utilizing distributed energy resources (DERs) like solar and wind power, enhancing the sustainability and flexibility of modern power systems. However, the inherent variability in MG topology, power…

Systems and Control · Electrical Eng. & Systems 2026-05-14 Mohan Du , Xiaozhe Wang

This work is concerned with uncertainty quantification in reduced-order dynamical system identification. Reduced-order models for system dynamics are ubiquitous in design and control applications and recent efforts focus on their…

Systems and Control · Electrical Eng. & Systems 2021-03-10 Prem Ratan Mohan Ram , Ulrich Römer , Richard Semaan

Structural components are typically exposed to dynamic loading, such as earthquakes, wind, and explosions. Structural engineers should be able to conduct real-time analysis in the aftermath or during extreme disaster events requiring…

System identification plays a crucial role in physics and machine learning for discovering governing equations directly from data. A powerful approach is the Sparse Identification of Nonlinear Dynamics (SINDy) method, which assumes that…

Systems and Control · Electrical Eng. & Systems 2026-05-05 Xinyi Wen , Xiao Li , Leonardo Rydin Gorjão , Veit Hagenmeyer , Benjamin Schäfer

Reliable spacecraft attitude control depends on accurate prediction of attitude dynamics, particularly when model-based strategies such as Model Predictive Control (MPC) are employed, where performance is limited by the quality of the…

Robotics · Computer Science 2026-02-19 Carlo Cena , Mauro Martini , Marcello Chiaberge

Physics Informed Neural Networks (PINNs) are gaining attention for their ability to embed physical laws into deep learning models, which is particularly useful in structural engineering tasks with limited data. This paper aims to explore…

Machine Learning · Computer Science 2025-12-25 Omer Jauhar Khan , Sudais Khan , Hafeez Anwar , Shahzeb Khan , Shams Ul Arifeen , Farman Ullah

Identification of nonlinear dynamical systems has been popularized by sparse identification of the nonlinear dynamics (SINDy) via the sequentially thresholded least squares (STLS) algorithm. Many extensions SINDy have emerged in the…

Machine Learning · Computer Science 2023-08-04 Shawn L. Kiser , Mikhail Guskov , Marc Rébillat , Nicolas Ranc

Synchronization phenomena are pervasive in coupled nonlinear systems across the natural world and engineering domains. Understanding how to dynamically identify the parameter space (or network structure) of coupled nonlinear systems in a…

Biological Physics · Physics 2024-09-25 Yong Wu , Qianming Ding , Weifang Huang , Tianyu Li , Dong Yu , Ya Jia

We introduce a machine-learning framework named statistics-informed neural network (SINN) for learning stochastic dynamics from data. This new architecture was theoretically inspired by a universal approximation theorem for stochastic…

Machine Learning · Computer Science 2022-12-28 Yuanran Zhu , Yu-Hang Tang , Changho Kim

NeRF-based SLAM has recently achieved promising results in tracking and reconstruction. However, existing methods face challenges in providing sufficient scene representation, capturing structural information, and maintaining global…

Computer Vision and Pattern Recognition · Computer Science 2025-03-28 Ziren Gong , Fabio Tosi , Youmin Zhang , Stefano Mattoccia , Matteo Poggi

The behavior of materials is influenced by a wide range of phenomena occurring across various time and length scales. To better understand the impact of microstructure on macroscopic response, multiscale modeling strategies are essential.…

A surrogate model is developed to predict the convective heat transfer coefficient of liquid sodium (Na) flow within rectangular miniature heat sinks. Initially, kernel-based machine learning techniques and shallow neural network are…

Machine Learning · Computer Science 2025-09-09 Reza Pirayeshshirazinezhad

The data-driven discovery of dynamics via machine learning is currently pushing the frontiers of modeling and control efforts, and it provides a tremendous opportunity to extend the reach of model predictive control. However, many leading…

Optimization and Control · Mathematics 2019-03-06 Eurika Kaiser , J. Nathan Kutz , Steven L. Brunton

Complex systems such as aircraft engines, turbines, and industrial machinery often operate under dynamically changing conditions. These varying operating conditions can substantially influence degradation behavior and make prognostic…

Machine Learning · Computer Science 2026-04-14 Yuqi Su , Xiaolei Fang

Data-driven methods keep increasing their popularity in engineering applications, given the developments in data analysis techniques. Some of these approaches, such as Field Inversion Machine Learning (FIML), suggest correcting low-fidelity…

Computational Physics · Physics 2025-09-24 Levent Ugur , Beckett Y. Zhou

The weighted ensemble (WE) method stands out as a widely used segment-based sampling technique renowned for its rigorous treatment of kinetics. The WE framework typically involves initially mapping the configuration space onto a…

Computational Physics · Physics 2024-11-19 Dedi Wang , Pratyush Tiwary

A significant challenge in many fields of science and engineering is making sense of time-dependent measurement data by recovering governing equations in the form of differential equations. We focus on finding parsimonious ordinary…

Machine Learning · Computer Science 2024-10-04 Doris Voina , Steven Brunton , J. Nathan Kutz
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