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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

This work aims to improve fuel chamber injectors' performance in turbofan engines, thus implying improved performance and reduction of pollutants. This requires the development of models that allow real-time prediction and improvement of…

Machine Learning · Computer Science 2023-06-21 León Mata , Rodrigo Abadía-Heredia , Manuel Lopez-Martin , José M. Pérez , Soledad Le Clainche

Automating the navigation of unmanned aerial vehicles (UAVs) in diverse scenarios has gained much attention in recent years. However, teaching UAVs to fly in challenging environments remains an unsolved problem, mainly due to the lack of…

Computer Vision and Pattern Recognition · Computer Science 2018-11-26 Matthias Müller , Vincent Casser , Neil Smith , Dominik L. Michels , Bernard Ghanem

The process of transforming observed data into predictive mathematical models of the physical world has always been paramount in science and engineering. Although data is currently being collected at an ever-increasing pace, devising…

Dynamical Systems · Mathematics 2018-01-08 Maziar Raissi , Paris Perdikaris , George Em Karniadakis

The multiscale and turbulent nature of Earth's atmosphere has historically rendered accurate weather modeling a hard problem. Recently, there has been an explosion of interest surrounding data-driven approaches to weather modeling, which in…

Geophysics · Physics 2025-07-08 Seth Minor , Daniel A. Messenger , Vanja Dukic , David M. Bortz

This paper presents a methodology to learn surrogate models of steady state fluid dynamics simulations on meshed domains, based on Implicit Neural Representations (INRs). The proposed models can be applied directly to unstructured domains…

Computational Engineering, Finance, and Science · Computer Science 2024-10-29 Giovanni Catalani , Siddhant Agarwal , Xavier Bertrand , Frederic Tost , Michael Bauerheim , Joseph Morlier

Physics-Informed Neural Networks (PINNs) have recently emerged as a novel approach to simulate complex physical systems on the basis of both data observations and physical models. In this work, we investigate the use of PINNs for various…

Analysis of PDEs · Mathematics 2024-03-27 Guillaume Coulaud , Maxime Le , Régis Duvigneau

Accurate prediction of battery state of charge is needed for autonomous robots to plan movements without using up all available power. This work develops a physics and data-informed model from a simulation that predicts SOC depletion as a…

Robotics · Computer Science 2026-03-03 Vidyut Pradeep , Shirantha Welikala

Gas turbine engines are complex machines that typically generate a vast amount of data, and require careful monitoring to allow for cost-effective preventative maintenance. In aerospace applications, returning all measured data to ground is…

Machine Learning · Computer Science 2024-08-20 Adam Hartwell , Felipe Montana , Will Jacobs , Visakan Kadirkamanathan , Andrew R Mills , Tom Clark

Attitude control is a fundamental aspect of spacecraft operations. Model Predictive Control (MPC) has emerged as a powerful strategy for these tasks, relying on accurate models of the system dynamics to optimize control actions over a…

Machine Learning · Computer Science 2026-03-30 Carlo Cena , Mauro Martini , Marcello Chiaberge

Model-based reinforcement learning is an effective approach for controlling an unknown system. It is based on a longstanding pipeline familiar to the control community in which one performs experiments on the environment to collect a…

Systems and Control · Electrical Eng. & Systems 2024-08-14 Bruce D. Lee , Ingvar Ziemann , George J. Pappas , Nikolai Matni

Neural network modules conditioned by known priors can be effectively trained and combined to represent systems with nonlinear dynamics. This work explores a novel formulation for data-efficient learning of deep control-oriented nonlinear…

Dynamical Systems · Mathematics 2021-01-07 Elliott Skomski , Soumya Vasisht , Colby Wight , Aaron Tuor , Jan Drgona , Draguna Vrabie

The sparse identification of nonlinear dynamics (SINDy) has been established as an effective method to learn interpretable models of dynamical systems from data. However, for high-dimensional slow-fast dynamical systems, the regression…

Dynamical Systems · Mathematics 2025-07-02 Diemen Delgado-Cano , Erick Kracht , Urban Fasel , Benjamin Herrmann

Real-time adaptation is imperative to the control of robots operating in complex, dynamic environments. Adaptive control laws can endow even nonlinear systems with good trajectory tracking performance, provided that any uncertain dynamics…

Robotics · Computer Science 2022-04-15 Spencer M. Richards , Navid Azizan , Jean-Jacques Slotine , Marco Pavone

Estimating the health state of turbofan engines is a challenging ill-posed inverse problem, hindered by sparse sensing and complex nonlinear thermodynamics. Research in this area remains fragmented, with comparisons limited by the use of…

Machine Learning · Computer Science 2026-04-10 Milad Leyli-Abadi , Lucas Thil , Sebastien Razakarivony , Guillaume Doquet , Jesse Read

The discovery of governing equations from data has been an active field of research for decades. One widely used methodology for this purpose is sparse regression for nonlinear dynamics, known as SINDy. Despite several attempts, noisy and…

Dynamical Systems · Mathematics 2023-09-15 Ali Forootani , Pawan Goyal , Peter Benner

Incorporating computational fluid dynamics in the design process of jets, spacecraft, or gas turbine engines is often challenged by the required computational resources and simulation time, which depend on the chosen physics-based…

Computational Physics · Physics 2019-12-09 Cristina White , Daniela Ushizima , Charbel Farhat

Accurate prediction of main engine power is essential for vessel performance optimization, fuel efficiency, and compliance with emission regulations. Conventional machine learning approaches, such as Support Vector Machines, variants of…

Machine Learning · Computer Science 2026-02-23 Orfeas Bourchas , George Papalambrou

Accurate models are essential for design, performance prediction, control, and diagnostics in complex engineering systems. Physics-based models excel during the design phase but often become outdated during system deployment due to changing…

Machine Learning · Computer Science 2025-01-22 Zihan Liu , Prashant N. Kambali , C. Nataraj

Model reduction of high-dimensional dynamical systems alleviates computational burdens faced in various tasks from design optimization to model predictive control. One popular model reduction approach is based on projecting the governing…

Dynamical Systems · Mathematics 2018-08-24 Francisco J. Gonzalez , Maciej Balajewicz