Yunsheng Ma, Liandong Dai, Xiao-Jing Hao, Zonghua Ding, Na Li
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The long short-term memory (LSTM) network and the multilayer perceptron (MLP) in the deep learning method are used to build a 9-layer deep neural network for training and verification, so that the advantages of the “gate” mechanism of LSTM network in time series modeling and the advantages of MLP in comprehensive consideration and high reliability can be fully brought into play. 70% of data sets are divided into training sets and 30% for validation, which runs in CPU environment. Adam algorithm is used for optimization, and the batch size is set to 24. The training results show that the minimum RMSE is 0.249 TECu, and the maximum RMSE is 4.240 TECu. 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引用次数: 0
摘要
目前流行的人工神经网络深度学习技术得到了大力发展,并逐步应用于空间天气。国际GNSS Service (IGS)公开提供的全球总电子含量(TEC)地图数据为71×73网格,时间分辨率为1小时,空间分辨率为5°×2.5°,可作为深度学习的充足训练样本。TEC的变化与太阳活动和地磁活动密切相关,因此本文的数据集是基于2019-2020年TEC地图数据,以及每小时太阳辐射指数F107和地磁指数Kp及其对应的时间,并引入各参数的经纬度作为监督信息。利用长短期记忆(LSTM)网络和深度学习方法中的多层感知器(MLP)构建9层深度神经网络进行训练和验证,充分发挥LSTM网络在时间序列建模方面的“门”机制优势和MLP在综合考虑和高可靠性方面的优势。70%的数据集分为训练集,30%用于验证,在CPU环境下运行。采用Adam算法进行优化,批大小设置为24。训练结果表明,最小RMSE为0.249 TECu,最大RMSE为4.240 TECu。一步预测的RMSE为0.650 TECu, MAPE为3.181%。
Research on a Deep Learning Modeling Method of Ionospheric Total Electron Content
The current popular deep learning technology of artificial neural networks has been vigorously developed and gradually applied to space weather. Global total electron content (TEC) map data publicly provided by the International GNSS Service (IGS) are 71×73 grids with temporal resolution of 1 hour and spatial resolution of 5°×2.5°, which can be used as sufficient training samples for deep learning. Variation of TEC is closely related to solar activity and geomagnetic activity, so data sets for this article are created based on 2019–2020 TEC map data, as well as the hourly solar radiation index F107 and geomagnetic index Kp together with the corresponding time, and longitude and latitude of each parameter are introduced as supervision information. The long short-term memory (LSTM) network and the multilayer perceptron (MLP) in the deep learning method are used to build a 9-layer deep neural network for training and verification, so that the advantages of the “gate” mechanism of LSTM network in time series modeling and the advantages of MLP in comprehensive consideration and high reliability can be fully brought into play. 70% of data sets are divided into training sets and 30% for validation, which runs in CPU environment. Adam algorithm is used for optimization, and the batch size is set to 24. The training results show that the minimum RMSE is 0.249 TECu, and the maximum RMSE is 4.240 TECu. RMSE of one step prediction is 0.650 TECu, and MAPE is 3.181%.