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arXiv 2110.04600cs.LGcs.AI

土木工程中基于物理的机器学习综述

A Review of Physics-based Machine Learning in Civil Engineering

Louisiana Tech University(路易斯安那理工大学)

Shashank Reddy Vadyala, Sai Nethra Betgeri1, John C. Matthews, Elizabeth Matthews

AI总结:

本文综述了基于物理的机器学习在土木工程中的应用,重点讨论其通过整合数据、偏微分方程和数学模型来解决数据偏移问题的方法与作用。

摘要:

机器学习(ML)和深度学习(DL)的近期发展增加了所有领域的机会。ML是一种可应用于许多学科的重要工具,但将其直接应用于土木工程问题可能具有挑战性。在实验室中模拟的土木工程应用ML模型往往在现实世界测试中失败。这通常归因于用于训练和测试ML模型的数据与其在现实世界中遇到的数据之间的数据不匹配,这种现象称为数据偏移。然而,基于物理的ML模型整合了数据、偏微分方程(PDEs)和数学模型来解决数据偏移问题。基于物理的ML模型经过训练,可以在遵守由一般非线性方程描述的任何给定物理定律的同时解决监督学习任务。基于物理的ML在许多科学学科中占据中心地位,在流体动力学、量子力学、计算资源和数据存储中发挥着重要作用。本文回顾了基于物理的ML的历史及其在土木工程中的应用。

英文摘要:

The recent development of machine learning (ML) and Deep Learning (DL) increases the opportunities in all the sectors. ML is a significant tool that can be applied across many disciplines, but its direct application to civil engineering problems can be challenging. ML for civil engineering applications that are simulated in the lab often fail in real-world tests. This is usually attributed to a data mismatch between the data used to train and test the ML model and the data it encounters in the real world, a phenomenon known as data shift. However, a physics-based ML model integrates data, partial differential equations (PDEs), and mathematical models to solve data shift problems. Physics-based ML models are trained to solve supervised learning tasks while respecting any given laws of physics described by general nonlinear equations. Physics-based ML, which takes center stage across many science disciplines, plays an important role in fluid dynamics, quantum mechanics, computational resources, and data storage. This paper reviews the history of physics-based ML and its application in civil engineering.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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