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arXiv 1711.07970cs.AIcs.LGstat.ML
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物理过程的深度学习:简化先前的科学知识

Deep Learning for Physical Processes: Incorporating Prior Scientific Knowledge

LIP6, UPMC(巴黎第六大学计算机科学实验室)

Emmanuel de Bezenac, Arthur Pajot, Patrick Gallinari

摘要:

我们考虑使用深度学习方法对自然物理过程中发生的复杂现象进行建模。随着对这些现象的大量数据收集,数据密集型范式可能会开始挑战多年来在数学或物理等领域阐述的更传统的方法。然而,尽管在各种应用领域取得了相当大的成功,但机器学习领域还没有准备好处理这些问题所需的复杂性水平。使用一个示例应用程序,即海洋表面温度预测,我们展示了如何将从物理学中获得的一般背景知识用作设计高效深度学习模型的指南。为了激励的方法,并评估其一般性,我们证明了一个正式的联系一类微分方程的解决方案背后的一个大家庭的物理现象和所提出的模型。然后提供了实验以及与一系列基线的比较,包括最先进的数值方法。

英文摘要:

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 more traditional approaches elaborated over the years in fields like maths or physics. However, despite considerable successes in a variety of application domains, the machine learning field is not yet ready to handle the level of complexity required by such problems. Using an example application, namely Sea Surface Temperature Prediction, we show how general background knowledge gained from physics could be used as a guideline for designing efficient Deep Learning models. In order to motivate the approach and to assess its generality we demonstrate a formal link between the solution of a class of differential equations underlying a large family of physical phenomena and the proposed model. Experiments and comparison with series of baselines including a state of the art numerical approach is then provided.

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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