Discussing the Spectrum of Physics-Enhanced Machine Learning; a Survey on Structural Mechanics Applications

Fuente: arXiv
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Hauptverfasser: Haywood-Alexander, Marcus, Liu, Wei, Bacsa, Kiran, Lai, Zhilu, Chatzi, Eleni
Format: Preprint
Veröffentlicht: 2023
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author Haywood-Alexander, Marcus
Liu, Wei
Bacsa, Kiran
Lai, Zhilu
Chatzi, Eleni
author_facet Haywood-Alexander, Marcus
Liu, Wei
Bacsa, Kiran
Lai, Zhilu
Chatzi, Eleni
contents The intersection of physics and machine learning has given rise to the physics-enhanced machine learning (PEML) paradigm, aiming to improve the capabilities and reduce the individual shortcomings of data- or physics-only methods. In this paper, the spectrum of physics-enhanced machine learning methods, expressed across the defining axes of physics and data, is discussed by engaging in a comprehensive exploration of its characteristics, usage, and motivations. In doing so, we present a survey of recent applications and developments of PEML techniques, revealing the potency of PEML in addressing complex challenges. We further demonstrate application of select such schemes on the simple working example of a single degree-of-freedom Duffing oscillator, which allows to highlight the individual characteristics and motivations of different `genres' of PEML approaches. To promote collaboration and transparency, and to provide practical examples for the reader, the code generating these working examples is provided alongside this paper. As a foundational contribution, this paper underscores the significance of PEML in pushing the boundaries of scientific and engineering research, underpinned by the synergy of physical insights and machine learning capabilities.
format Preprint
id arxiv_https___arxiv_org_abs_2310_20425
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Discussing the Spectrum of Physics-Enhanced Machine Learning; a Survey on Structural Mechanics Applications
Haywood-Alexander, Marcus
Liu, Wei
Bacsa, Kiran
Lai, Zhilu
Chatzi, Eleni
Machine Learning
The intersection of physics and machine learning has given rise to the physics-enhanced machine learning (PEML) paradigm, aiming to improve the capabilities and reduce the individual shortcomings of data- or physics-only methods. In this paper, the spectrum of physics-enhanced machine learning methods, expressed across the defining axes of physics and data, is discussed by engaging in a comprehensive exploration of its characteristics, usage, and motivations. In doing so, we present a survey of recent applications and developments of PEML techniques, revealing the potency of PEML in addressing complex challenges. We further demonstrate application of select such schemes on the simple working example of a single degree-of-freedom Duffing oscillator, which allows to highlight the individual characteristics and motivations of different `genres' of PEML approaches. To promote collaboration and transparency, and to provide practical examples for the reader, the code generating these working examples is provided alongside this paper. As a foundational contribution, this paper underscores the significance of PEML in pushing the boundaries of scientific and engineering research, underpinned by the synergy of physical insights and machine learning capabilities.
title Discussing the Spectrum of Physics-Enhanced Machine Learning; a Survey on Structural Mechanics Applications
topic Machine Learning
url https://arxiv.org/abs/2310.20425