A Time Series Prediction Model Based on Long Short-Term Memory Networks

Linkai Wang, Jing Chen, Wei Wang, Ruofan Wang, Lina Yang, Mai An
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Abstract

Since real time series are usually divided into cyclical and non-cyclical features, the traditional Auto Regressive Integrated Moving Average (ARIMA) model often shows certain limitations in the modeling of cyclical time series. In this regard, Long Short-Term Memory (LSTM) networks are introduced to predict periodic time series, and missing values are filled by linear interpolation to improve data integrity. The time series are divided into sliding windows according to the period, and the data of the number of people getting on and off the bus in Sino-Singapore Tianjin Eco-City is used as a sample to train and test the model. The test results show that the average absolute error (MAE) of the LSTM model is 80.246, and the root mean square error (RMSE) is 108.52, which is 91.24 and 89.75 lower than the Gated Recurrent Unit (GRU) model, and 83.03 and 104.56 lower than the ARIMA model. The goodness of fit of the LSTM model is 0.902, which is 0.281 and 0.168 higher than that of the ARIMA model and the GRU model, respectively.
基于长短期记忆网络的时间序列预测模型
由于实时时间序列通常分为周期性和非周期性特征,传统的自回归综合移动平均(ARIMA)模型在模拟周期性时间序列时往往存在一定的局限性。为此,引入长短期记忆(LSTM)网络对周期时间序列进行预测,并用线性插值方法填充缺失值,提高数据完整性。将时间序列按时间段划分为滑动窗口,以中新天津生态城公交上下车人数数据为样本,对模型进行训练和检验。测试结果表明,LSTM模型的平均绝对误差(MAE)为80.246,均方根误差(RMSE)为108.52,分别比门控循环单元(GRU)模型低91.24和89.75,比ARIMA模型低83.03和104.56。LSTM模型的拟合优度为0.902,比ARIMA模型和GRU模型分别高0.281和0.168。
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