论文标题

在传感器数据中,物理知识的神经网络与噪声的鲁棒性

Robustness of Physics-Informed Neural Networks to Noise in Sensor Data

论文作者

Wong, Jian Cheng, Chiu, Pao-Hsiung, Ooi, Chin Chun, Da, My Ha

论文摘要

物理知识的神经网络(PINN)已被证明是将基于物理的域知识纳入许多重要现实世界系统的神经网络模型的有效方法。即使在数据稀缺的情况下,它们也特别有效地是根据数据推断系统信息的一种手段。但是,当前的大多数工作都假定高质量数据的可用性。在这项工作中,我们进一步对物理信息神经网络的鲁棒性进行了初步研究,以达到数据中噪声的幅度。有趣的是,我们的实验表明,在神经网络中包含物理学足以抵消噪声在数据中的影响,该数据源自假设的低质量传感器,具有高达1的信噪比的低质量传感器。该测试案例的最终预测仍然可以看到该测试案例的预测仍然匹配来自具有高质量传感器的高品质传感器,而具有潜在质量较低的噪声。这进一步意味着物理知识的神经网络建模的实用性,以便将来从传感器网络中理解数据,尤其是随着行业4.0的出现以及普遍部署低成本传感器的趋势的日益增加,通常更嘈杂。

Physics-Informed Neural Networks (PINNs) have been shown to be an effective way of incorporating physics-based domain knowledge into neural network models for many important real-world systems. They have been particularly effective as a means of inferring system information based on data, even in cases where data is scarce. Most of the current work however assumes the availability of high-quality data. In this work, we further conduct a preliminary investigation of the robustness of physics-informed neural networks to the magnitude of noise in the data. Interestingly, our experiments reveal that the inclusion of physics in the neural network is sufficient to negate the impact of noise in data originating from hypothetical low quality sensors with high signal-to-noise ratios of up to 1. The resultant predictions for this test case are seen to still match the predictive value obtained for equivalent data obtained from high-quality sensors with potentially 10x less noise. This further implies the utility of physics-informed neural network modeling for making sense of data from sensor networks in the future, especially with the advent of Industry 4.0 and the increasing trend towards ubiquitous deployment of low-cost sensors which are typically noisier.

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