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The Prediction of Gold Futures Prices at the Shanghai Futures Exchange Based on the MEEMD-CS-Elman Model

机译:基于Memd-CS-Elman模型的上海期货交易所黄金期货价格预测

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摘要

The Gold futures market is a complex nonlinear system with the prediction of the futures prices of gold, one of the core issues faced by investors. Compared with more traditional approaches, empirical mode decomposition (EMD) and artificial neural network are the more powerful tools with which to deal with nonlinear and nonstationary price problems. By introducing mirroring extension (ME), EMD, Cuckoo Search (CS) algorithm, and Elman neural network, this article constructs the mirroring extension empirical mode decomposition (MEEMD)-CS-Elman model to forecast the price of gold futures using gold future AU0 price data from August 29, 2013, to October 18, 2018, at the Shanghai Futures Exchange (SFE) in China. Empirical results show that Elman combined with EMD is superior to single Elman in performance. Moreover, there exists an obvious endpoint effect by applying EMD to the price of AU0. By introducing the ME method, the endpoint effect can be dealt with better. Furthermore, by introducing the CS algorithm to optimize the initial weights and biases for Elman, the constructed MEEMD-CS-Elman model achieves far more accurate prediction results compared with either the EMDElman or the MEEMD-Elman model in terms of performance criterion: mean absolute difference (MAD), mean absolute percentage error (MAPE), root-mean-square error (RMSE), and directional symmetry (DS). In particular, the DS indicator, which reflects rising and falling prices, tends to be more attractive for investors. The value of the DS indicator in the MEEMDCS-Elman model reaches 0.75207, meaning that the proposed model predicts the directions of increasing and falling prices quite precisely. Hence, by applying the proposed model, investors can make more scientific and accurate decisions and better reduce their investment risks.
机译:黄金期货市场是一家复杂的非线性系统,预测了黄金期货价格,投资者面临的核心问题之一。与更传统的方法相比,经验模式分解(EMD)和人工神经网络是更强大的工具,可以处理非线性和非间平价格问题。通过引入镜像扩展(ME),EMD,CUCKOO搜索(CS)算法和ELMAN神经网络,本文构建了镜像扩展经验模式分解(MEEMD)-CS-ELMAN模型,以预测使用黄金未来AU0的金期货价格2013年8月29日,2018年8月18日,2018年10月18日,在中国的上海期货交易所(SFE)。实证结果表明,Elman与EMD相结合优于单一的ELMEN性能。此外,通过将EMD应用于AU0的价格,存在明显的端点效果。通过介绍ME方法,可以更好地处理端点效果。此外,通过引入CS算法来优化Elman的初始权重和偏差,构造的MeEmd-CS-ELMAN模型与Emdelman或Meemd-Elman模型在性能标准方面相比,实现了更准确的预测结果:平均绝对差异(MAD),平均绝对百分比误差(MAPE),根均方误差(RMSE)和方向对称(DS)。特别是,DS指标,反映价格上涨和价格下跌,对投资者往往更具吸引力。 MeemDCS-ELMAN模型中的DS指示符的值达到0.75207,这意味着所提出的模型预测了恰当地提高价格下降的方向。因此,通过应用拟议的模型,投资者可以做出更科学和准确的决策,更好地减少投资风险。

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