A study on asset pricing in stock market based on Hopfield neural network

Authors

  • Tansi Sun Washington University in St. Louis, St. Louis

DOI:

https://doi.org/10.22399/ijcesen.996

Keywords:

Hopfield neural network, Learning algorithm, Predictive modelling, Stock market

Abstract

Nowadays, with globalisation and financial globalisation, stock markets are becoming more and more complex, which cannot be explained by classical financial analysis. In this paper, Hopfield neural network is used to describe the complex nonlinear and asymmetric financial system in detail, and a stock market prediction method is proposed. The specific results are as follows: Hopfield neural network is introduced, and the network structure, operation mode and convergence principle are described in detail. Finally, the performance of FNN is successfully simulated. On the basis of the simulation model, we used the Hopfield neural network based on FSK and applied it to the FSK based on RFE-GSWOA-Hopfield; the MAPE value, the RMSE value, and the MAE value of the model proposed in this paper reached the minimum values in several models, which were 29.206, 0.594,23.131, and the R2 reaches the maximum value of 0.952 in several models.In addition, the experiments also prove that the RFE-GSWOA-Hopfield model is better in prediction efficiency and optimisation accuracy.

References

Joya, G., Atencia, M. A., & Sandoval, F. (2002). Hopfield neural networks for optimization: study of the different dynamics. Neurocomputing. 43(1-4);219-237. https://doi.org/10.1016/s0925-2312(01)00337-x

Junliang Li. (2021). Research on the effectiveness of vulnerability in Chinese stock market based on convolutional neural network [D]. Henan University of Finance and Politics. https://doi.org/10.27113/d.cnki.ghncc.2021.000278.

Xing, Weichen. (2020). Simulation of stock market forecasting based on BP neural network [D]. Guizhou University of Finance and Economics. https://doi.org/10.27731/d.cnki.ggzcj.2020.000311.

Cong Ruixue,Sun Wei. (2010). A study on radial basis neural network in stock market prediction [J]. Digital Technology and Application. (08):104. https://doi.org/10.19695/j.cnki.cn12-1369.2010.08.065.

Ouyang Yulong. (2021). Research on stock market predictability based on financial time series and deep neural network [D]. Jiangxi University of Finance and Economics. https://doi.org/10.27175/d.cnki.gjxcu.2021.000769.

Liu N. (2019) Research on the application of deep neural network in China's stock market price prediction [D]. Hainan University. https://doi.org/10.27073/d.cnki.ghadu.2019.000890.

Wen, U. P., Lan, K. M., & Shih, H. S. (2009). A review of Hopfield neural networks for solving mathematical programming problems. European Journal of Operational Research. 198(3);675-687. https://doi.org/10.1016/j.ejor.2008.11.002

Rebentrost, P., Bromley, T. R., Weedbrook, C., & Lloyd, S. (2018). Quantum Hopfield neural network. Physical Review A. 98(4), 042308. https://doi.org/10.1103/physreva.98.042308

Nasrabadi, N. M., & Li, W. (1991). Object recognition by a Hopfield neural network. IEEE Transactions on Systems, Man, and Cybernetics. 21(6);1523-1535. https://doi.org/10.1109/21.135694

Yang, J., Wang, L., Wang, Y., & Guo, T. (2017). A novel memristive Hopfield neural network with application in associative memory. Neurocomputing. 227;142-148. https://doi.org/10.1016/j.neucom.2016.07.065

Kobayashi, M. (2013). Hyperbolic Hopfield neural networks. IEEE transactions on neural networks and learning systems. 24(2);335-341. https://doi.org/10.1109/tnnls.2012.2230450

Bao, B., Chen, C., Bao, H., Zhang, X., Xu, Q., & Chen, M. (2019). Dynamical effects of neuron activation gradient on Hopfield neural network: numerical analyses and hardware experiments. International Journal of Bifurcation and Chaos. 29(04), 1930010. https://doi.org/10.1142/s0218127419300106

Lin, H., Wang, C., Yu, F., Sun, J., Du, S., Deng, Z., & Deng, Q. (2023). A review of chaotic systems based on memristive Hopfield neural networks. Mathematics. 11(6), 1369. https://doi.org/10.3390/math11061369

Hu, L., Sun, F., Xu, H., Liu, H., & Zhang, X. (2011). Mutation Hopfield neural network and its applications. Information Sciences. 181(1);92-105. https://doi.org/10.1016/j.ins.2010.08.007

Zhang, S., Yu, Y., & Wang, H. (2015). Mittag-Leffler stability of fractional-order Hopfield neural networks. Nonlinear Analysis: Hybrid Systems. 16;104-121. https://doi.org/10.1016/j.nahs.2014.10.001

Tatem, A. J., Lewis, H. G., Atkinson, P. M., & Nixon, M. S. (2002). Super-resolution land cover pattern prediction using a Hopfield neural network. Remote Sensing of Environment. 79(1);1-14. https://doi.org/10.1016/s0034-4257(01)00229-2

Neshat, M., & Zadeh, A. E. (2010, July). Hopfield neural network and fuzzy Hopfield neural network for diagnosis of liver disorders. In 2010 5th IEEE International Conference Intelligent Systems. 162-167. https://doi.org/10.1109/is.2010.5548321

Barra, A., Beccaria, M., & Fachechi, A. (2018). A new mechanical approach to handle generalized Hopfield neural networks. Neural Networks. 106;205-222. https://doi.org/10.1016/j.neunet.2018.07.010

Wang, S., Schäfer, R., & Guhr, T. (2016). Cross-response in correlated financial markets: individual stocks. The European Physical Journal B. 89(105);1-16. https://doi.org/10.2139/ssrn.2892260

Kumbure, M. M., Lohrmann, C., Luukka, P., & Porras, J. (2022). Machine learning techniques and data for stock market forecasting: A literature review. Expert Systems with Applications. 197, 116659. https://doi.org/10.1016/j.eswa.2022.116659

Saha, S., Gao, J., & Gerlach, R. (2022). A survey of the application of graph-based approaches in stock market analysis and prediction. International Journal of Data Science and Analytics. 14(1);1-15. https://doi.org/10.1007/s41060-021-00306-9

Li, W., Chien, F., Waqas Kamran, H., Aldeehani, T. M., Sadiq, M., Nguyen, V. C., & Taghizadeh-Hesary, F. (2022). The nexus between COVID-19 fear and stock market volatility. Economic research-Ekonomska istraživanja. 35(1);1765-1785. https://doi.org/10.1080/1331677x.2021.1914125

Rehman, M. U., Ahmad, N., Shahzad, S. J. H., & Vo, X. V. (2022). Dependence dynamics of stock markets during COVID-19. Emerging Markets Review. 51, 100894. https://doi.org/10.1016/j.ememar.2022.100894

Vullam, N., Yakubreddy, K., Vellela, S. S., Sk, K. B., Reddy, V., & Priya, S. S. (2023). Prediction And Analysis Using A Hybrid Model For Stock Market. In 2023 3rd International Conference on Intelligent Technologies (CONIT). IEEE. 1-5 https://doi: 10.1109/CONIT59222.2023.10205638.

Umar, M., Farid, S., & Naeem, M. A. (2022). Time-frequency connectedness among clean-energy stocks and fossil fuel markets: Comparison between financial, oil and pandemic crisis. Energy. 240, 122702. https://doi.org/10.1016/j.energy.2021.122702

Yousaf, I., Patel, R., & Yarovaya, L. (2022). The reaction of G20+ stock markets to the Russia–Ukraine conflict “black-swan” event: Evidence from event study approach. Journal of Behavioral and Experimental Finance. 35, 100723. https://doi.org/10.1016/j.jbef.2022.100723

Benlagha, N., Karim, S., Naeem, M. A., Lucey, B. M., & Vigne, S. A. (2022). Risk connectedness between energy and stock markets: Evidence from oil importing and exporting countries. Energy Economics. 115, 106348. https://doi.org/10.1016/j.eneco.2022.106348

Wong, J. B., & Zhang, Q. (2022). Stock market reactions to adverse ESG disclosure via media channels. The British Accounting Review. 54(1), 101045. https://doi.org/10.1016/j.bar.2021.101045

Akram M. Musa, Abu-Shaikha, M., & Al-Abed, R. Y. (2025). Enhancing Predictive Accuracy of Renewable Energy Systems and Sustainable Architectural Design Using PSO Algorithm. International Journal of Computational and Experimental Science and Engineering, 11(1). https://doi.org/10.22399/ijcesen.842

Abu-Shaikha, M., & Nasereddin, S. (2025). Predicting Media Impact: A Machine Learning Framework for Optimizing Corporate Communication Strategies in Architectural Practices. International Journal of Computational and Experimental Science and Engineering, 11(1). https://doi.org/10.22399/ijcesen.1032

Downloads

Published

2025-02-20

How to Cite

Sun, T. (2025). A study on asset pricing in stock market based on Hopfield neural network. International Journal of Computational and Experimental Science and Engineering, 11(1). https://doi.org/10.22399/ijcesen.996

Issue

Section

Research Article