Document Type : Research Article

Authors

Department of Statistics and Informatics, University of Mosul, Mosul, Iraq

10.22054/jmmf.2026.90440.1248

Abstract

Stock price forecasting poses significant challenges due to non-stationarity, nonlinearity, and noise in financial markets, particularly for the Iraqi stock exchange. This study proposes an enhanced interval-valued forecasting model for daily prices of the Al Mansour Pharmaceutical Industries (MPI) company (2020–2025) using v-support vector regression (VSVR) with hyperparameters optimized via the waterwheel plant algorithm (WWPOA). The WWPOA approach tunes key VSVR parameters through population-based exploration and exploitation phases inspired by WWPOA, outperforming grid search (GS-VSVR) and cross-validation (CV-VSVR). Forecasting performance is evaluated using four criteria, namely mean absolute error , root mean squared error , direction accuracy and coefficient of determination . The empirical results show that the proposed model achieves lower values, compared to and indicating superior accuracy, robustness, and directional forecasting capability. On training data (637 days), WWPOA-VSVR achieves superior metrics for center and radius compared to baselines; testing results (308 days) confirm robustness. Further, Diebold-Mariano tests validate center-based WWPOA-VSVR superiority over radius-based at 95% confidence (p<0.05). On the training set, the center based WWPOA VSVR achieves MAE of about 0.18, RMSE of about 0.28, DA around 0.63, and R2 close to 0.93, while the radius based model attains MAE near 0.19, RMSE around 0.29, DA about 0.61, and R2 near 0.92. On the test set, center forecasts retain strong performance, with MAE around 0.20, RMSE about 0.30, DA near 0.60, and R2 approximately 0.92, and radius forecasts achieve MAE close to 0.17, RMSE near 0.27, DA about 0.57, and R2 around 0.88.

Keywords

[1] M. Darwish, E. E. Hassanien, and A. H. B. Eissa, Stock Market Forecasting: From Traditional Predictive Models to Large Language Models, Computational Economics, (2025).
[2] W. Zhu, W. Dai, C. Tang, G. Zhou, Z. Liu, and Y. Zhao, PMANet: a time series forecasting model for Chinese stock price prediction, Scientific Reports, 14 (2024), pp. 18351.
[3] T. T. Thach, Forecasting Stock Market Indices Using Integration of Encoder, Decoder, and Attention Mechanism, Entropy, 27 (2025).
[4] A. D. Kayit, and M. T. Ismail, Advancing stock price prediction through the development of hybrid ensembles: a comprehensive comparative analysis of machine learning approaches, Journal of Big Data, 12 (2025).
[5] P. H. Vuong et al., A bibliometric literature review of stock price forecasting: From statistical model to deep learning approach, Science Progress, 107 (2024).
[6] Q. Ge, Enhancing stock market forecasting: A hybrid model for accurate prediction of S&P 500 and CSI 300 future prices, Expert Systems with Applications, 260 (2025), pp. 125380.
[7] H. Mehtarizadeh et al., Stock price prediction with SCA-LSTM network and statistical model ARIMA-GARCH, The Journal of Supercomputing, 81 (2025).
[8] S. S. Bagalkot et al., Novel grey wolf optimizer based parameters selection for GARCH
and ARIMA models for stock price prediction, PeerJ Computer Science, 10 (2024), pp. e1735.
[9] J. K. Mutinda, and A. K. Langat, Stock price prediction using combined GARCH-AI models, Scientific African, 26 (2024).
[10] T. B. Shahi et al., Stock Price Forecasting with Deep Learning: A Comparative Study, Mathematics, 8 (2020).
[11] C.-Y. Yang et al., Advancing Financial Forecasts: Stock Price Prediction Based on Time Series and Machine Learning Techniques, Applied Artificial Intelligence, 38 (2024).
[12] B. M. Henrique, V. A. Sobreiro, and H. Kimura, Stock price prediction using support vector regression on daily and up to the minute prices, The Journal of Finance and Data Science, 4 (2018), pp. 183–201.
[13] A. Mahmoodi et al., A developed stock price forecasting model using support vector machine combined with metaheuristic algorithms, Opsearch, 60 (2023), pp. 59–86.
[14] R. Kuo, and T.-H. Chiu, Hybrid of jellyfish and particle swarm optimization algorithm based support vector machine for stock market trend prediction, Applied Soft Computing, 154 (2024), pp. 111394.
[15] M. Qasim, Z. Algamal, and H. M. Ali, A binary QSAR model for classifying neuraminidase inhibitors of influenza A viruses (H1N1) using the combined minimum redundancy maximum relevancy criterion with the sparse support vector machine, SAR and QSAR in Environmental Research, 29 (2018), pp. 517–527.
[16] A. Staffini, Stock price forecasting by a deep convolutional generative adversarial network, Frontiers in Artificial Intelligence, 5 (2022), pp. 837596.
[17] T. Kim and H. Y. Kim, Forecasting stock prices with a feature fusion LSTM-CNN model using different representations of the same data, PLoS One, 14 (2019), pp. e0212320.
[18] M. Nikou et al., Stock price prediction using deep learning algorithm and its comparison with machine learning algorithms, Intelligent Systems in Accounting, Finance and Management, 26 (2019), pp. 164–174.
[19] A. W. Li, and G. S. Bastos, Stock market forecasting using deep learning and technical analysis: a systematic review, IEEE Access, 8 (2020), pp. 185232–185242.
[20] S. Mukherjee et al., Stock market prediction using deep learning algorithms, CAAI Transactions on Intelligence Technology, 8 (2023), pp. 82–94.
[21] A. L. S. Maia et al., Forecasting models for interval-valued time series, Neurocomputing, 71 (2008), pp. 3344–3352.
[22] Q. Lu et al., Forecasting interval-valued crude oil prices using asymmetric interval models, Quantitative Finance, 22 (2022), pp. 2047–2061.
[23] J. Wang et al., An enhanced interval-valued decomposition integration model for stock price prediction based on comprehensive feature extraction and optimized deep learning, Expert Systems with Applications, 243 (2024).
[24] D. Wang et al., Interval-valued financial time series prediction based on improved Elman neural network, ICIC Express Letters, 13 (2019), pp. 159–166.
[25] O. M. Ismael et al., Improving Parameters of V-Support Vector Regression with Feature Selection in Parallel by Using Quasi-Oppositional and Harris Hawks Optimization Algorithm, Informatyka, 14 (2024), pp. 113–118.
[26] O. M. Ismael et al., Improving Harris hawks optimization algorithm for hyperparameters estimation and feature selection in v-support vector regression based on opposition-based learning, Journal of Chemometrics, 34 (2020).
[27] O. M. Ismael et al., A new adaptive algorithm for v-support vector regression with feature selection using Harris hawks optimization algorithm, Journal of Physics: Conference Series, 1897 (2021), pp. 012057.
[28] J. Wang et al., Improved v-support vector regression model based on variable selection and brain storm optimization for stock price forecasting, Applied Soft Computing, 49 (2016), pp. 164–178.
[29] T. Xiong et al., Multiple-output support vector regression with a firefly algorithm for interval-valued stock price index forecasting, Knowledge-Based Systems, 55 (2014), pp. 87–100.
[30] A. Kazem et al., Support vector regression with chaos-based firefly algorithm for stock market price forecasting, Applied Soft Computing, 13 (2013), pp. 947–958.
[31] M. Jiang et al., A novel interval dual convolutional neural network method for intervalvalued stock price prediction, Pattern Recognition, 145 (2024).
[32] V. N. Vapnik, An overview of statistical learning theory, IEEE Transactions on Neural Networks, 10 (1999), pp. 988–999.
[33] P. Y. Hao, Pair-ν-SVR: A Novel and Efficient Pairing nu-Support Vector Regression Algorithm, IEEE Transactions on Neural Networks and Learning Systems, 28 (2017), pp. 2503–2515.
[34] D. Kong et al., Tool wear monitoring based on kernel principal component analysis and v-support vector regression, International Journal of Advanced Manufacturing Technology, 89 (2016), pp. 175–190.
[35] N. Li et al., Force-based tool condition monitoring for turning process using v-support vector regression, International Journal of Advanced Manufacturing Technology, 91 (2016), pp. 351–361.
[36] Y. Liu, and G. Pender, A flood inundation modelling using v-support vector machine regression model, Engineering Applications of Artificial Intelligence, 46 (2015), pp. 223–231.
[37] X. Teng et al., Adaptive feature selection using v-shaped binary particle swarm optimization, PLoS One, 12 (2017), pp. e0173907.
[38] Y. Zhang, and Y. Xie, Forecasting of short-term freeway volume with v-support vector machines, Transportation Research Record, 2024 (2007), pp. 92–99.
[39] P. Tsirikoglou et al., A hyperparameters selection technique for support vector regression models, Applied Soft Computing, 61 (2017), pp. 139–148.
[40] J.-S. Chou, and A.-D. Pham, Nature-inspired metaheuristic optimization in least squares support vector regression for obtaining bridge scour information, Information Sciences, 399 (2017), pp. 64–80.
[41] R. Laref et al., On the optimization of the support vector machine regression hyperparameters setting for gas sensors array applications, Chemometrics and Intelligent Laboratory Systems, 184 (2019), pp. 22–27.
[42] S. Li et al., Parameter optimization of support vector regression based on sine cosine algorithm, Expert Systems with Applications, 91 (2018), pp. 63–77.
[43] V. Cherkassky, and Y. Ma, Practical selection of SVM parameters and noise estimation for SVM regression, Neural Networks, 17 (2004), pp. 113–126.
[44] K. Itô, and R. Nakano, Optimizing support vector regression hyperparameters based on
cross-validation, Proceedings of the International Joint Conference on Neural Networks, (2003), pp. 2077–2082.
[45] C.-H. Wu et al., A novel hybrid genetic algorithm for kernel function and parameter optimization in support vector regression, Expert Systems with Applications, 36 (2009), pp. 4725–4735.
[46] M. N. Amar and N. Zeraibi, Application of hybrid support vector regression artificial bee colony for prediction of MMP in CO2-EOR process, Petroleum, (2018).
[47] C.-F. Huang, A hybrid stock selection model using genetic algorithms and support vector regression, Applied Soft Computing, 12 (2012), pp. 807–818.
[48] C.-T. Cheng et al., Optimizing hydropower reservoir operation using hybrid genetic algorithm and chaos, Water Resources Management, 22 (2007), pp. 895–909.
[49] W.-C. Hong et al., SVR with hybrid chaotic genetic algorithms for tourism demand forecasting, Applied Soft Computing, 11 (2011), pp. 1881–1890.
[50] J. Cheng et al., Adaptive chaotic cultural algorithm for hyperparameters selection of support vector regression, International Conference on Intelligent Computing, (2009), pp. 286–293.
[51] B. ¨Ust¨un et al., Determination of optimal support vector regression parameters by genetic algorithms and simplex optimization, Analytica Chimica Acta, 544 (2005), pp. 292–305.
[52] J. Zhang et al., Optimization enhanced genetic algorithm-support vector regression for the prediction of compound retention indices in gas chromatography, Neurocomputing, 240 (2017), pp. 183–190.
[53] G. Cao, and L. Wu, Support vector regression with fruit fly optimization algorithm for seasonal electricity consumption forecasting, Energy, 115 (2016), pp. 734–745.
[54] E. Abdulsaed et al., Hyperparameter optimization for convolutional neural networks using the salp swarm algorithm, Informatica, 47 (2023).
[55] Z. Y. Algamal et al., Improving grasshopper optimization algorithm for hyperparameters estimation and feature selection in support vector regression, Chemometrics and Intelligent Laboratory Systems, 208 (2021), pp. 104196.
[56] A. A. Abdelhamid et al., Waterwheel plant algorithm: a novel metaheuristic optimization method, Processes, 11 (2023), pp. 1502.
[57] A. A. Alhussan et al., A binary waterwheel plant optimization algorithm for feature selection, IEEE Access, 11 (2023), pp. 94227–94251.
[58] H. Zhang et al., Forecasting monthly copper price: A comparative study of various machine learning-based methods, Resources Policy, 73 (2021).
[59] X. Li et al., Forecasting the lithium mineral resources prices in China: Evidence with
Facebook Prophet (Fb-P) and Artificial Neural Networks (ANN) methods, Resources Policy, 82 (2023), pp. 103580.
[60] F. X. Diebold, and R. S. Mariano, Comparing predictive accuracy, Journal of Business and Economic Statistics, 13 (1995), pp. 253–263.