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Approximating solutions to partial differential equations (PDEs) is fundamental for the modeling of dynamical systems in science and engineering. Physics-informed neural networks (PINNs) are a recent machine learning-based approach, for…

Physics-informed machine learning (PIML) is a set of methods and tools that systematically integrate machine learning (ML) algorithms with physical constraints and abstract mathematical models developed in scientific and engineering…

We propose a physics-informed Echo State Network (ESN) to predict the evolution of chaotic systems. Compared to conventional ESNs, the physics-informed ESNs are trained to solve supervised learning tasks while ensuring that their…

Physics and Society · Physics 2019-06-28 Nguyen Anh Khoa Doan , Wolfgang Polifke , Luca Magri

Physics-Informed Neural Networks (PINNs) serve as a flexible alternative for tackling forward and inverse problems in differential equations, displaying impressive advancements in diverse areas of applied mathematics. Despite integrating…

Fluid Dynamics · Physics 2024-07-12 Shengfeng Xu , Chang Yan , Zhenxu Sun , Renfang Huang , Dilong Guo , Guowei Yang

This work addresses the development of a physics-informed neural network (PINN) with a loss term derived from a discretized time-dependent reduced-order system. In this work, first, the governing equations are discretized using a finite…

Numerical Analysis · Mathematics 2024-01-30 Rahul Halder , Giovanni Stabile , Gianluigi Rozza

Dynamic response evaluation in structural engineering is the process of determining the response of a structure, such as member forces, node displacements, etc when subjected to dynamic loads such as earthquakes, wind, or impact. This is an…

Machine Learning · Computer Science 2023-08-21 Faisal Nissar Malik , James Ricles , Masoud Yari , Malik Arsala Nissar

Recent work in scientific machine learning has developed so-called physics-informed neural network (PINN) models. The typical approach is to incorporate physical domain knowledge as soft constraints on an empirical loss function and use…

Machine Learning · Computer Science 2021-11-12 Aditi S. Krishnapriyan , Amir Gholami , Shandian Zhe , Robert M. Kirby , Michael W. Mahoney

This study presents a novel physics-informed neural network (PINN) framework for modeling poroelasticity in heterogeneous media with material interfaces. The approach introduces a composite neural network (CoNN) where separate neural…

Systems and Control · Electrical Eng. & Systems 2024-12-31 Sumanta Roy , Chandrasekhar Annavarapu , Pratanu Roy , Dakshina Murthy Valiveti

Physics-Informed Neural Networks (PINNs) have emerged as a promising computational framework for solving differential equations by integrating deep learning with physical constraints. However, their application in gas turbines is still in…

Computational Engineering, Finance, and Science · Computer Science 2025-06-25 Afila Ajithkumar Sophiya , Sepehr Maleki , Giuseppe Bruni , Senthil K. Krishnababu

We discuss nonlinear model predictive control (NMPC) for multi-body dynamics via physics-informed machine learning methods. Physics-informed neural networks (PINNs) are a promising tool to approximate (partial) differential equations. PINNs…

Optimization and Control · Mathematics 2021-09-23 Jonas Nicodemus , Jonas Kneifl , Jörg Fehr , Benjamin Unger

This work presents a physics-driven machine learning framework for the simulation of acoustic scattering problems. The proposed framework relies on a physics-informed neural network (PINN) architecture that leverages prior knowledge based…

Computational Physics · Physics 2024-08-06 Siddharth Nair , Timothy F. Walsh , Greg Pickrell , Fabio Semperlotti

The transformative impact of machine learning, particularly Deep Learning (DL), on scientific and engineering domains is evident. In the context of computational fluid dynamics (CFD), Physics-Informed Neural Networks (PINNs) represent a…

Fluid Dynamics · Physics 2024-04-05 Siddharth Raghu , Rajdip Nayek , Vamsi Chalamalla

Deep neural networks have become a pervasive tool in science and engineering. However, modern deep neural networks' growing energy requirements now increasingly limit their scaling and broader use. We propose a radical alternative for…

Machine Learning · Computer Science 2022-01-31 Logan G. Wright , Tatsuhiro Onodera , Martin M. Stein , Tianyu Wang , Darren T. Schachter , Zoey Hu , Peter L. McMahon

The goal of this tutorial is to explain step-by-step how to implement physics-based learning for the rapid prototyping of a computational imaging system. We provide a basic overview of physics-based learning, the construction of a…

Image and Video Processing · Electrical Eng. & Systems 2020-05-29 Michael Kellman , Michael Lustig , Laura Waller

Quantum control is a ubiquitous research field that has enabled physicists to delve into the dynamics and features of quantum systems, delivering powerful applications for various atomic, optical, mechanical, and solid-state systems. In…

Quantum Physics · Physics 2023-12-11 Ariel Norambuena , Marios Mattheakis , Francisco J. González , Raúl Coto

In this paper, we introduce a novel framework for combining scientific knowledge within physics-based models and recurrent neural networks to advance scientific discovery in many dynamical systems. We will first describe the use of outputs…

Machine Learning · Computer Science 2018-10-09 Xiaowei Jia , Anuj Karpatne , Jared Willard , Michael Steinbach , Jordan Read , Paul C Hanson , Hilary A Dugan , Vipin Kumar

Physics-informed neural networks (PINNs) are an influential method of solving differential equations and estimating their parameters given data. However, since they make use of neural networks, they provide only a point estimate of…

Machine Learning · Computer Science 2024-05-15 Lena Podina , Mahdi Torabi Rad , Mohammad Kohandel

Recently, physics informed neural networks (PINNs) have been explored extensively for solving various forward and inverse problems and facilitating querying applications in fluid mechanics applications. However, work on PINNs for unsteady…

Fluid Dynamics · Physics 2024-02-28 Rahul Sundar , Dipanjan Majumdar , Didier Lucor , Sunetra Sarkar

Deep Operator Networks (DeepONets) and their physics-informed variants have shown significant promise in learning mappings between function spaces of partial differential equations, enhancing the generalization of traditional neural…

Machine Learning · Computer Science 2025-01-08 Milad Ramezankhani , Anirudh Deodhar , Rishi Yash Parekh , Dagnachew Birru

Accurate vessel trajectory prediction is crucial for navigational safety, route optimization, traffic management, search and rescue operations, and autonomous navigation. Traditional data-driven models lack real-world physical constraints,…

Machine Learning · Computer Science 2025-06-17 Md Mahbub Alam , Amilcar Soares , José F. Rodrigues-Jr , Gabriel Spadon