Cardiff University Business School, Cardiff CF10 3AT, Wales, UK.
Comput Intell Neurosci. 2021 Nov 12;2021:1026978. doi: 10.1155/2021/1026978. eCollection 2021.
Based on the BP neural network and the ARIMA model, this paper predicts the nonlinear residual of GDP and adds the predicted values of the two models to obtain the final predicted value of the model. First, the focus is on the ARMA model in the univariate time series. However, in real life, forecasts are often affected by many factors, so the following introduces the ARIMAX model in the multivariate time series. In the prediction process, the network structure and various parameters of the neural network are not given in a systematic way, so the operation of the neural network is affected by many factors. Each forecasting method has its scope of application and also has its own weaknesses caused by the characteristics of its own model. Secondly, this paper proposes an effective combination method according to the GDP characteristics and builds an improved algorithm BP neural network price prediction model, the research on the combination of GDP prediction model is currently mostly focused on the weighted form, and this article proposes another combination, namely, error correction. According to the price characteristics, we determine the appropriate number of hidden layer nodes and build a BP neural network price prediction model based on the improved algorithm. Validation of examples shows that the error-corrected GDP forecast model is also better than the weighted GDP forecast model, which shows that error correction is also a better combination of forecasting methods. The forecast results of BP neural network have lower errors and monthly prices. The relative error of prediction is about 2.5%. Through comparison with the prediction results of the ARIMA model, in the daily price prediction, the relative error of the BP neural network prediction is 1.5%, which is lower than the relative error of the ARIMA model of 2%.
基于 BP 神经网络和 ARIMA 模型,本文对 GDP 的非线性残差进行预测,并将两个模型的预测值进行叠加,得到模型的最终预测值。首先,关注的是单变量时间序列中的 ARMA 模型。然而,在现实生活中,预测往往受到许多因素的影响,因此下面引入多元时间序列中的 ARIMAX 模型。在预测过程中,神经网络的网络结构和各种参数没有系统地给出,因此神经网络的运行受到许多因素的影响。每种预测方法都有其应用范围,也因其自身模型的特点而存在自身的弱点。其次,本文根据 GDP 特点提出了一种有效的组合方法,并构建了改进算法 BP 神经网络价格预测模型,对 GDP 预测模型的组合研究目前大多集中在加权形式,本文提出了另一种组合,即误差修正。根据价格特点,确定合适的隐含层节点数,构建基于改进算法的 BP 神经网络价格预测模型。实例验证表明,误差修正 GDP 预测模型也优于加权 GDP 预测模型,这表明误差修正也是一种较好的预测方法组合。BP 神经网络的预测结果误差较小,月度价格相对误差约为 2.5%。通过与 ARIMA 模型的预测结果进行比较,在日度价格预测中,BP 神经网络预测的相对误差为 1.5%,低于 ARIMA 模型的 2%。