Journals / Turkish Journal of Forecasting / 2026 / Volume: 10 Issue: 2

A Comparative Performance Analysis of Artificial Bee Colony, Genetic Algorithm, Particle Swarm Optimization, and Sine Cosine Algorithm for Training a Robust Cauchy-Huber Dendritic Neuron Model in Bitcoin Log-Return Forecasting

Mete Özdemir(GIRESUN UNIVERSITY, EYNESIL VOCATIONAL SCHOOL)0000-0003-0908-4311
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Publication Date
2026-09-14
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⚡ TL;DR(Too Long; Didn't Read)

These results indicate that, once the CH-DNM architecture and its Huber-loss fitness function are held fixed, the choice of metaheuristic optimizer has only a secondary, though non-negligible, effect on forecasting accuracy and robustness, with SCA and GA offering a modest but consistent advantage over ABC and PSO.

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Objective & Hypothesis:This study presents a comparative performance analysis of four population-based metaheuristic optimization algorithms - the Artificial Bee Colony (ABC), the Genetic Algorithm (GA), Particle Swarm Optimization (PSO), and the Sine Cosine Algorithm (SCA) - used to train a single, fixed robust neural architecture for cryptocurrency time series forecasting.
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Key Findings & Data:The architecture under study is a Cauchy-Huber Dendritic Neuron Model (CH-DNM), which integrates a heavy-tailed Cauchy cumulative distribution function (CDF) as the somatic activation of a Dendritic Neuron Model (DNM) with a Huber robust loss function, so that extreme residuals arising from market shocks are down-weighted rather than allowed to dominate the training gradient.
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Conclusion & Impact:These results indicate that, once the CH-DNM architecture and its Huber-loss fitness function are held fixed, the choice of metaheuristic optimizer has only a secondary, though non-negligible, effect on forecasting accuracy and robustness, with SCA and GA offering a modest but consistent advantage over ABC and PSO.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:dendritic neuron model · cauchy-huber dendritic neuron model · Metaheuristic Optimization

Abstract

This study presents a comparative performance analysis of four population-based metaheuristic optimization algorithms - the Artificial Bee Colony (ABC), the Genetic Algorithm (GA), Particle Swarm Optimization (PSO), and the Sine Cosine Algorithm (SCA) - used to train a single, fixed robust neural architecture for cryptocurrency time series forecasting. The architecture under study is a Cauchy-Huber Dendritic Neuron Model (CH-DNM), which integrates a heavy-tailed Cauchy cumulative distribution function (CDF) as the somatic activation of a Dendritic Neuron Model (DNM) with a Huber robust loss function, so that extreme residuals arising from market shocks are down-weighted rather than allowed to dominate the training gradient. Rather than comparing different network architectures, this study isolates the effect of the training algorithm itself: the CH-DNM structure, its synaptic weights, thresholds, and the Huber-loss fitness function are held identical across all four optimizers, so that any difference in forecasting performance can be attributed strictly to the search dynamics of the optimization algorithm. Each optimizer is evaluated on the highly volatile Bitcoin (BTC-USD) index under synthetically injected extreme shock scenarios. Three independently and randomly extracted BTC-USD log-return series are used, at two observation-window lengths (100 and 250 days) and two validation-test horizons (10 and 20 days), with artificial shocks of ten times the local maximum magnitude injected exclusively into the training portion of each series. Forecast accuracy is assessed using the Root Mean Square Error (RMSE) over the corresponding test horizon, and each optimizer is executed over 30 independent runs per configuration to account for its stochastic nature. Averaged across all series, window lengths, and test horizons, the Sine Cosine Algorithm (SCA) achieves the lowest mean and most stable (lowest standard deviation) test RMSE on the original series, closely followed by the Genetic Algorithm (GA), while ABC and PSO show marginally higher mean error and run-to-run variability. Once outliers are injected into the training data, the gap between optimizers narrows considerably, with all four algorithms achieving very close mean test RMSE, and SCA retaining a small but consistent edge in stability. These results indicate that, once the CH-DNM architecture and its Huber-loss fitness function are held fixed, the choice of metaheuristic optimizer has only a secondary, though non-negligible, effect on forecasting accuracy and robustness, with SCA and GA offering a modest but consistent advantage over ABC and PSO.

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Cite This Article

Özdemir, M. (2026). A Comparative Performance Analysis of Artificial Bee Colony, Genetic Algorithm, Particle Swarm Optimization, and Sine Cosine Algorithm for Training a Robust Cauchy-Huber Dendritic Neuron Model in Bitcoin Log-Return Forecasting. Turkish Journal of Forecasting, Volume: 10 Issue: 2. https://doi.org/10.34110/forecasting.2004084

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References (30)

  1. Al-qaness, M. A. A., Ewees, A. A., Abualigah, L., AlRassas, A. M., Thanh, H. V., & Abd Elaziz, M. (2022). Evaluating the applications of dendritic neuron model with metaheuristic optimization algorithms for crude-oil-production forecasting. Entropy, 24(11), 1674.
  2. Al-qaness, M. A. A., Ewees, A. A., Abd Elaziz, M., Damasevicius, R., & Samak, A. H. (2025). Dendritic neuron model optimized with mountain gazelle optimizer for time-series forecasting. Journal of Ambient Intelligence and Humanized Computing, 18, 92.
  3. Bas, E., Egrioglu, E., & Cansu, T. (2024). Robust training of median dendritic artificial neural networks for time series forecasting. Expert Systems with Applications, 238, 122080.
  4. Behera, S., Kumar, A. V. S. P., & Nayak, S. C. (2025). Analyzing the performance of geometric mean optimization-based artificial neural networks for cryptocurrency forecasting. International Journal of Information Technology, 17, 5189-5201.
  5. Behera, S., Nayak, S. C., & Kumar, A. V. S. P. (2024). Evaluating the performance of metaheuristic based artificial neural networks for cryptocurrency forecasting. Computational Economics, 64(2), 1219-1258.
  6. Egrioglu, E., & Bas, E. (2023). A new hybrid recurrent artificial neural network for time series forecasting. Neural Computing and Applications, 35, 2855-2865.
  7. Gul, H. H., Egrioglu, E., & Bas, E. (2023). Statistical learning algorithms for dendritic neuron model artificial neural network based on sine cosine algorithm. Information Sciences, 629, 398-412.
  8. He, Y., Li, J. M., Ruan, S., & Zhao, S. (2020). A hybrid model for financial time series forecasting-integration of EWT, ARIMA with the improved ABC optimized ELM. IEEE Access, 8, 84501-84518.
  9. Holland, J. H. (1992). Adaptation in natural and artificial systems: An introductory analysis with applications to biology, control, and artificial intelligence. MIT Press.
  10. Karaboga, D. (2005). An idea based on honey bee swarm for numerical optimization. Technical Report TR06, Erciyes University, Engineering Faculty, Computer Engineering Department.
  11. Karaboga, D., & Akay, B. (2009). A comparative study of artificial bee colony algorithm. Applied Mathematics and Computation, 214(1), 108-132.
  12. Kennedy, J., & Eberhart, R. (1995). Particle swarm optimization. Proceedings of the IEEE International Conference on Neural Networks, 4, 1942-1948.
  13. Kose, N., Gur, Y. E., & Unal, E. (2025). Deep learning and machine learning insights into the global economic drivers of the Bitcoin price. Journal of Forecasting, 44(5), 1666-1698.
  14. Li, X., Xia, Z., & Zhang, H. (2025). Cauchy activation function and XNet. Neural Networks, 188, 107375.
  15. Liu, X., Wu, Z., & Xin, J. (2025). Forecasting stock market time series through the integration of bee colony optimizer and multivariate empirical mode decomposition with extreme gradient boosting regression. Engineering Applications of Artificial Intelligence, 148, 110353.
  16. Mahapatro, S., Sahu, P. K., & Subudhi, A. K. (2026). A novel framework for cryptocurrency price forecasting: Integrating dual attention mechanisms, genetic algorithm feature selection, and hybrid Adam-PSO optimization. Cogent Engineering, 13(1), 2641300.
  17. Mardjo, A., & Choksuchat, C. (2024). HyBiLSTM: Multivariate Bitcoin price forecasting using hybrid time-series models with bidirectional LSTM. IEEE Access, 12, 50792-50808.
  18. Mirjalili, S. (2016). SCA: A sine cosine algorithm for solving optimization problems. Knowledge-Based Systems, 96, 120-133.
  19. Mizdrakovic, V., Kljajic, M., Zivkovic, M., Bacanin, N., Jovanovic, L., Deveci, M., & Pedrycz, W. (2024). Forecasting Bitcoin: Decomposition aided long short-term memory based time series modeling and its explanation with Shapley values. Knowledge-Based Systems, 299, 112026.
  20. Mudassir, M., Bennbaia, S., Unal, D., & Almazrouei, M. (2021). Time-series forecasting of Bitcoin prices using high-dimensional features: A machine learning approach. Neural Computing and Applications, 33, 4433-4448.
  21. Quek, S. G., Selvachandran, G., Tan, J. H., Thiang, H. Y. A., Tuan, N. T., & Son, L. H. (2022). A new hybrid model of fuzzy time series and genetic algorithm based machine learning algorithm: A case study of forecasting prices of nine types of major cryptocurrencies. Big Data Research, 28, 100315.
  22. Qureshi, M., Iftikhar, H., Rodrigues, P. C., Rehman, M. Z., & Salar, S. A. A. (2024). Statistical modeling to improve time series forecasting using machine learning, time series, and hybrid models: A case study of Bitcoin price forecasting. Mathematics, 12(23), 3666.
  23. Srivastava, V., Dwivedi, V. K., & Singh, A. K. (2023). Cryptocurrency price prediction using enhanced PSO with extreme gradient boosting algorithm. Cybernetics and Information Technologies, 23(2), 1-16.
  24. Taggart, R. J. (2022). Point forecasting and forecast evaluation with generalized Huber loss. Electronic Journal of Statistics, 16(1), 201-231.
  25. Tang, X., Song, Y., Jiao, X., & Sun, Y. (2024). On forecasting realized volatility for Bitcoin based on deep learning PSO-GRU model. Computational Economics, 63, 2011-2033.
  26. Todo, Y., Tamura, H., Yamashita, K., & Tang, Z. (2014). Unsupervised learnable neuron model with nonlinear interaction on dendrites. Neural Networks, 60, 96-103.
  27. Uras, N., Marchesi, L., Marchesi, M., & Tonelli, R. (2020). Forecasting Bitcoin closing price series using linear regression and neural networks models. PeerJ Computer Science, 6, e279.
  28. Yahia, A., Mouhssine, Y., El Alaoui, A., & El Alaoui, S. O. (2024). Exploring machine learning-based methods for anomalies detection: Evidence from cryptocurrencies. International Journal of Data Science and Analytics, 20, 3951-3964.
  29. Yilmaz, A., & Yolcu, U. (2022). Dendritic neuron model neural network trained by modified particle swarm optimization for time-series forecasting. Journal of Forecasting, 41(4), 793-809.
  30. Zhang, J., Cai, K., & Wen, J. (2024). A survey of deep learning applications in cryptocurrency. Digital Finance, 27(1), 108509.