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Machine learning has affected the way in which many phenomena for various domains are modelled, one of these domains being that of structural dynamics. However, because machine-learning algorithms are problem-specific, they often fail to…

Machine Learning · Computer Science 2024-01-08 G. Tsialiamanis , N. Dervilis , D. J. Wagg , K. Worden

Modeling of physical systems includes extensive use of software packages that implement the accurate finite element method for solving differential equations considered along with the appropriate initial and boundary conditions. When the…

Computational Engineering, Finance, and Science · Computer Science 2018-03-20 O. Kononenko , I. Kononenko

The many ways in which machine and deep learning are transforming the analysis and simulation of data in particle physics are reviewed. The main methods based on boosted decision trees and various types of neural networks are introduced,…

Data Analysis, Statistics and Probability · Physics 2020-05-07 Dimitri Bourilkov

Laser-plasma physics has developed rapidly over the past few decades as high-power lasers have become both increasingly powerful and more widely available. Early experimental and numerical research in this field was restricted to…

Machine Learning · Computer Science 2023-05-25 Andreas Döpp , Christoph Eberle , Sunny Howard , Faran Irshad , Jinpu Lin , Matthew Streeter

We present a physics-informed machine learning (PIML) scheme for the feedback linearization of nonlinear discrete-time dynamical systems. The PIML finds the nonlinear transformation law, thus ensuring stability via pole placement, in one…

Physics-informed machine learning typically integrates physical priors into the learning process by minimizing a loss function that includes both a data-driven term and a partial differential equation (PDE) regularization. Building on the…

Machine Learning · Statistics 2025-09-23 Nathan Doumèche , Francis Bach , Gérard Biau , Claire Boyer

Traditional design cycles for new materials and assemblies have two fundamental drawbacks. The underlying physical relationships are often too complex to be precisely calculated and described. Aside from that, many unknown uncertainties,…

Physics-informed machine learning (PIML) integrates prior physical information, often in the form of differential equation constraints, into the process of fitting machine learning models to physical data. Popular PIML approaches, including…

Machine Learning · Statistics 2025-10-31 Mara Daniels , Liam Hodgkinson , Michael Mahoney

We consider the use of Deep Learning methods for modeling complex phenomena like those occurring in natural physical processes. With the large amount of data gathered on these phenomena the data intensive paradigm could begin to challenge…

Artificial Intelligence · Computer Science 2018-01-10 Emmanuel de Bezenac , Arthur Pajot , Patrick Gallinari

Machine Learning (ML) has achieved great successes in recent decades, both in research and in practice. In Cyber-Physical Systems (CPS), ML can for example be used to optimize systems, to detect anomalies or to identify root causes of…

Machine Learning · Computer Science 2021-12-20 Henrik S. Steude , Alexander Windmann , Oliver Niggemann

In the overview, a generic mathematical object (mapping) is introduced, and its relation to model physics parameterization is explained. Machine learning (ML) tools that can be used to emulate and/or approximate mappings are introduced.…

Atmospheric and Oceanic Physics · Physics 2022-06-22 Vladimir Krasnopolsky , Aleksei A. Belochitski

Recent applications of machine learning, in particular deep learning, motivate the need to address the generalizability of the statistical inference approaches in physical sciences. In this letter, we introduce a modular physics guided…

Machine Learning · Computer Science 2021-02-03 Suraj Pawar , Omer San , Burak Aksoylu , Adil Rasheed , Trond Kvamsdal

Physics problems constitute a significant aspect of reasoning, necessitating complicated reasoning ability and abundant physics knowledge. However, existing large language models (LLMs) frequently fail due to a lack of knowledge or…

Computation and Language · Computer Science 2024-12-19 Xinyu Pang , Ruixin Hong , Zhanke Zhou , Fangrui Lv , Xinwei Yang , Zhilong Liang , Bo Han , Changshui Zhang

In this paper, we review the new method Physics-Informed Neural Networks (PINNs) that has become the main pillar in scientific machine learning, we present recent practical extensions, and provide a specific example in data-driven discovery…

Machine Learning · Computer Science 2024-09-02 Maziar Raissi , Paris Perdikaris , Nazanin Ahmadi , George Em Karniadakis

We present the concepts of physics-based learning models (PBLM) and their relevance and application to the field of ship hydrodynamics. The utility of physics-based learning is motivated by contrasting generic learning models for regression…

Fluid Dynamics · Physics 2014-01-17 Gabriel D. Weymouth , Dick K. P. Yue

While machine learning (ML) has found multiple applications in photonics, traditional "black box" ML models typically require prohibitively large training data sets. Generation of such data, as well as the training processes themselves,…

This paper presents an overview of scientific modeling and discusses the complementary strengths and weaknesses of ML methods for scientific modeling in comparison to process-based models. It also provides an introduction to the current…

Machine Learning · Computer Science 2024-05-03 Anuj Karpatne , Xiaowei Jia , Vipin Kumar

Physics-Informed Machine Learning (PIML) offers a powerful paradigm of integrating data with physical laws to address important scientific problems, such as parameter estimation, inferring hidden physics, equation discovery, and state…

Computational Engineering, Finance, and Science · Computer Science 2025-10-31 Letian Yi , Siyuan Yang , Ying Cui , Zhilu Lai

Active Learning (AL) is a family of machine learning (ML) algorithms that predates the current era of artificial intelligence. Unlike traditional approaches that require labeled samples for training, AL iteratively selects unlabeled samples…

Quantum Physics · Physics 2023-10-31 Yongcheng Ding , José D. Martín-Guerrero , Yolanda Vives-Gilabert , Xi Chen

Machine learning (ML) has become an integral component of high energy physics data analyses and is likely to continue to grow in prevalence. Physicists are incorporating ML into many aspects of analysis, from using boosted decision trees to…

High Energy Physics - Experiment · Physics 2024-01-04 Elliott Kauffman , Alexander Held , Oksana Shadura
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