PSO-BP组合模型和GA-BP组合模型在中国和V4经济增长模型中的应用

IF 0.3 Q4 MATHEMATICS, APPLIED Journal of Applied Mathematics Statistics and Informatics Pub Date : 2022-12-01 DOI:10.2478/jamsi-2022-0011
X. Gui, Michal Feckan, J. Wang
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引用次数: 0

摘要

摘要本文采用遗传算法(GA)和粒子群优化算法(PSO算法)等不同的优化算法来训练反向传播(BP)神经网络,拟合中国、捷克、斯洛伐克、匈牙利和波兰的国内生产总值(GDP)增长模型(1995-2020年),并进行短期模拟预测。我们使用具有强大全局搜索能力的PSO算法和GA来优化网络的权重和阈值,并将它们与BP神经网络相结合,并应用由此产生的粒子群优化反向传播(PSO-BP)组合模型或遗传算法反向传播(GA-BP)组合模型,使网络实现快速收敛。此外,我们还将上述两种混合模型与标准多元回归模型和BP神经网络进行了比较,并采用了不同的初始化方法,如正态均匀和Xavier进行了拟合和短期模拟预测。最后,我们得到了极好的结果,所有上述模型都取得了良好的拟合效果,PSO-BP组合模型在预测GDP值方面总体上比其他模型误差更小。通过PSO-BP和GA-BP技术,我们对五国的国内生产总值增长趋势有了更清晰的了解,有利于政府对经济发展做出合理决策。
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The application of PSO-BP combined model and GA-BP combined model in Chinese and V4’s economic growth model
Abstract This paper adopts different optimization algorithms such as Genetic Algorithm (GA) and Particle Swarm Optimization Algorithm (PSO-Algorithm) to train Back-Propagation (BP) neural networks, fits the Chinese, the Czech, Slovak, Hungarian, and Polish gross domestic product (GDP) growth model (from 1995 to 2020) and makes short-term simulation predictions. We use the PSO-Algorithm and GA with strong global search ability to optimize the weights and thresholds of the network, combine them with the BP neural network, and apply the resulting Particle Swarm Optimization Back-Propagation (PSO-BP) combined model or Genetic-Algorithm Back-Propagation (GA-BP) combined model to allow the network to achieve fast convergence. Besides, we also compare the above two hybrid models with standard multivariate regression model and BP neural network with different initialization methods like normal uniform and Xavier for fitting and short-term simulation predictions. Finally, we obtain the excellent results that all the above models have achieved a good fitting effect and PSO-BP combined model on the whole has a smaller error than others in predicting GDP values. Through the technology of PSO-BP and GA-BP, we have a clearer understanding of the five countries gross domestic product growth trends, which is conducive to the government to make reasonable decisions on the economic development.
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审稿时长
20 weeks
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