Hyperparameter Optimization of Multi-Target Support Vector Regression with Sigmoid Particle Swarm Optimization-based Acceleration Coefficients for Electricity Consumption Prediction

Authors

  • Mayesq Prameswari Data Science Study Program, Telkom University, Purwokerto, Indonesia
  • Ridwan Pandiya Informatics Study Program, Telkom University, Purwokerto, Indonesia
  • Aina Latifa Riyana Putri Data Science Study Program, Telkom University, Purwokerto, Indonesia

Keywords:

Electricity energy consumption, Regression, Particle swarm optimization, Sigmoid-based acceleration coefficients, Multi-target hyperparameter

Abstract

The predictive accuracy of Support Vector Regression (SVR) in electricity forecasting is often constrained by hyperparameter tuning. To address the documented poor performance of SVR on the multi-target Tetouan City Power Consumption dataset, an advanced metaheuristic, Particle Swarm Optimization with Sigmoid-Based Acceleration Coefficients (PSO-SBAC), is employed to optimize SVR's regularization constant ( ) and the RBF kernel coefficient ( ) hyperparameters. The superior stability of PSO-SBAC was first confirmed on ten mathematical benchmark functions, where it achieved near-perfect success rates, significantly outperforming the less consistent standard PSO on complex multimodal functions. When applied to the forecasting task, the proposed SVR-PSO-SBAC model demonstrated superior generalization capabilities. While the baseline model showed robustness on high-frequency 10-minute data, the proposed SVR-PSO-SBAC achieved the best performance on Zone 1 in the 1-hour interval, recording the lowest test Root Mean Squared Error (RMSE) of 34769.5. Furthermore, the model excelled in handling complex zonal characteristics, achieving a massive 27.4% reduction in error compared to the baseline in Zone 3 (10-minute interval) with an RMSE of 4878.1. The findings resolve a documented performance anomaly, concluding that SVR's perceived limitations are a function of suboptimal tuning, which can be overcome with a robust and adaptive optimization strategy.

References

[1] J. D. Borrero and J. Mariscal, Elevating univariate time series forecasting: Innovative SVR-empowered nonlinear autoregressive neural networks, Algorithms, 16(9), 2023, 1-15.

[2] A. Salam and A. El Hibaoui, Comparison of machine learning algorithms for the power consumption prediction:- Case study of Tetouan city, 2018 6th International Renewable and Sustainable Energy Conference (IRSEC), Rabat, Morocco, 2018, 1-5.

[3] H. Muthiah, U. Sa and A. Efendi, Support vector regression (SVR) model for seasonal time series data, 2nd Asia Pacific Conference on Industrial Engineering and Operations Management, Surakarta, Indonesia, 2021, 3191-3200.

[4] L. Suganthi and A. A. Samuel, Energy models for demand forecasting - A review, Renewable and Sustainable Energy Reviews, 16(2), 2012, 1223-1240.

[5] P. Tsirikoglou, S. Abraham, F. Contino, C. Lacor and G. Ghorbaniasl, A hyperparameters selection technique for support vector regression models, Applied Soft Computing Journal, 61, 2017, 139-148.

[6] J. Kennedy and R. Eberhart, Particle swarm optimization, Proceedings of ICNN’95 - International Conference on Neural Networks, Perth, Australia, 4, 1995, 1942-1948.

[7] K. -L. Du and M. N. S. Swamy, Search and Optimization by Metaheuristics Techniques and Algorithms Inspired by Nature. Switzerland: Springer, 2016.

[8] Y. Gao, H. Zhang, Y. Duan and H. Zhang, A novel hybrid PSO based on levy flight and wavelet mutation for global optimization, PLoS One, 18(1), 2023, 1-27.

[9] K. R. Harrison, A. P. Engelbrecht and B. M. Ombuki-Berman, Self-adaptive particle swarm optimization: a review and analysis of convergence, Swarm Intelligence, 12(3), 2018, 187-226.

[10] M. Isiet and M. Gadala, Sensitivity analysis of control parameters in particle swarm optimization, Journal of Computational Science, 41, 2020, 101086.

[11] A. U. Rehman, A. Islam and S. B. Belhaouari, Multi-cluster jumping particle swarm optimization for fast convergence, IEEE Access, 8, 2020, 189382-189394.

[12] C. Caraveo, F. Valdez and O. Castillo, A new meta-heuristics of optimization with dynamic adaptation of parameters using type-2 fuzzy logic for trajectory control of a mobile robot, Algorithms, 10(3), 2017, 1-16.

[13] D. Tian, X. Zhao, and Z. Shi, Chaotic particle swarm optimization with sigmoid-based acceleration coefficients for numerical function optimization, Swarm and Evolutionary Computation, 51, 2019, 100573.

[14] H. Borchani, G. Varando, C. Bielza and P. Larrañaga, A survey on multi-output regression, WIREs Data Mining and Knowledge Discovery, 5(5), 2015, 216-233.

[15] G. Melki, A. Cano, V. Kecman and S. Ventura, Multi-target support vector regression via correlation regressor chains, Information Sciences, 415-416, 2017, 53-69.

[16] E. Spyromitros-Xioufis, G. Tsoumakas, W. Groves and I. Vlahavas, Multi-target regression via input space expansion: treating targets as inputs, Machine Learning, 104(1), 2016, 55-98.

[17] R. Pandiya and Salmah, Inflection point-based auxiliary function algorithm for finding global minima of coercive functions, Journal of Computational and Applied Mathematics, 449, 2024, 115955.

[18] I. Ismail and A. H. Halim, Comparative study of meta-heuristics optimization algorithm using benchmark function, International Journal of Electrical and Computer Engineering, 7(3), 2017, 1643-1650.

[19] P. Amber, R. Ahmad, M. W. Aslam, A. Kousar, M. Usman and M. S. Khan, Intelligent techniques for forecasting electricity consumption of buildings, Energy, 157, 2018, 886-893.

[20] Y. Wang and Y. Zhang, Multivariate SVR demand forecasting for beauty products based on online reviews, Mathematics, 11(21), 2023, 4420.

[21] B. Buddhahai, S. K. Korkua, P. Rakkwamsuk and S. Makonin, A design and comparative analysis of a home energy disaggregation system based on a multi-target learning framework, Buildings, 13(4), 2023, 911.

[22] S. Sheikh, M. Rabiee, M. Nasir and A. Oztekin, An integrated decision support system for multi-target forecasting: A case study of energy load prediction for a solar-powered residential house, Computers & Industrial Engineering, 166, 2022, 107966.

[23] M. Feurer and F. Hutter, Hyperparameter Optimization, in Automated Machine Learning: Methods, Systems, Challenges, Springer International Publishing, 2019, 3-33.

[24] Š. Hubálovský, M. Hubálovská and I. Matoušová, A new hybrid particle swarm optimization–teaching–learning-based optimization for solving optimization problems, Biomimetics, 9(1), 2024, 8.

[25] X. Su, H. Jiang, T. Qin and G. Lin, Particle swarm optimization–support vector regression (PSO-SVR)-based rapid prediction method for radiant heat transfer for a spacecraft vacuum thermal test, Applied Sciences, 14(20), 2024, 9407.

[26] S. Chatterjee, S. Bayer and A. Maier, Prediction of household-level heat-consumption using PSO enhanced SVR model, NeurIPS 2021 Workshop Tackling Climate Change with Machine Learning, arXiv preprint, arXiv, 2112.01908, 2021.

[27] N. Tchomté, S. Asghar, N. Javaid, P. Dayang, D. Danga and D. Oyono, A case based reasoning coupling multi-criteria decision making with learning and optimization intelligences: Application to energy consumption, EAI Endorsed Transactions on Smart Cities, 4(9), 2020, 162292.

[28] H. Luo, P. Zhou, L. Shu, J. Mou, H. Zheng, C. Jiang and Y. Wang, Energy performance curves prediction of centrifugal pumps based on constrained PSO-SVR model, Energies, 15(9), 2022, 3309.

[29] S. K. Mohapatra, S. Mishra, H. K. Tripathy, A. K. Bhoi and P. Barsocchi, A pragmatic investigation of energy consumption and utilization models in the urban sector using predictive intelligence approaches, Energies, 14(13), 2021, 3900.

[30] W. Cai, X. Wen, C. Li, J. Shao and J. Xu, Predicting the energy consumption in buildings using the optimized support vector regression model, Energy, 273, 2023, 127188.

[31] M. Jain, V. Saihjpal, N. Singh and S. B. Singh, An overview of variants and advancements of PSO Algorithm, Applied Sciences, 12(17), 2022, 8392.

[32] W. Sakpere, F. I. Yisa, A. Salami and G. A. Olaniyi, Particle swarm optimization (PSO) and benchmark functions: An extensive analysis, International Journal of Engineering Research in Computer Science and Engineering (IJERCSE), 12(1), 2025, 1-13.

[33] M. A. Anuar, R. Ibrahim, N. Zainal, M. M. Rejab and H. Hachimi, A comparative study of metaheuristic optimization algorithms on distinct benchmark functions, Journal of Soft Computing and Data Mining, 6(1), 2025, 69-85.

[34] K. Hussain, M. Najib, M. Salleh, S. Cheng and R. Naseem, Common benchmark functions for metaheuristic evaluation: A review, JOIV: International Journal on Informatics Visualization, 1(4-2), 2017, 218-223.

[35] M. Premkumar, N. Shankar, R. Sowmya, P. Jangir, C. Kumar, L. Abualigah and B. Derebew, A reliable optimization framework for parameter identification of single-diode solar photovoltaic model using weighted velocity-guided grey wolf optimization algorithm and Lambert-W function, IET Renewable Power Generation, 17(11), 2023, 2711-2732.

[36] Y. Li, H. Sun, W. Yan and X. Zhang, Multi-output parameter-insensitive kernel twin SVR model, Neural Networks, 121, 2020, 276-293.

[37] T. O. Hodson, Root-mean-square error (RMSE) or mean absolute error (MAE): When to use them or not, Geoscientific Model Development, 15(14), 2022, 5481-5487.

[38] A. Botchkarev, A new typology design of performance metrics to measure errors in machine learning regression algorithms, Interdisciplinary Journal of Information, Knowledge, and Management, 14, 2019, 45-76.

[39] A. Ampountolas, Forecasting orange juice futures: LSTM, ConvLSTM, and traditional models across trading horizons, Journal of Risk and Financial Management, 17(11), 2024, 475.

Downloads

Published

11-01-2026

How to Cite

Prameswari, M., Pandiya, R., & Latifa Riyana Putri, A. (2026). Hyperparameter Optimization of Multi-Target Support Vector Regression with Sigmoid Particle Swarm Optimization-based Acceleration Coefficients for Electricity Consumption Prediction. Applications of Modelling and Simulation, 10, 28–37. Retrieved from https://www.ojs.arqiipubl.com/index.php/AMS_Journal/article/view/1177

Issue

Section

Articles

Similar Articles

1 2 3 4 5 6 7 > >> 

You may also start an advanced similarity search for this article.