Mapping Hybrid and Ensemble Models for Financial Volatility Forecasting: A Bibliometric and LLM-Assisted Review

Authors

DOI:

https://doi.org/10.31181/jscda41202694

Keywords:

Financial volatility forecasting, Hybrid models, Ensemble learning, Machine learning, Bibliometric analysis, Systematic review, Large language models

Abstract

Financial volatility forecasting has undergone a rapid methodological transition from parametric econometric models towards machine and deep learning, hybrid architectures, and ensemble techniques. Despite this expansion, the literature lacks a synthesis combining bibliometric mapping with a granular methodological taxonomy of hybrid and ensemble models for volatility forecasting. This paper addresses that gap by retrieving 690 publications from Scopus and Web of Science, mapping the bibliometric landscape with bibliometrix, and constructing a 121-paper core corpus through multi-stage filtering on citation impact, recency, and Bradford Zone 1 sources. The corpus is classified using a tendimensional taxonomy covering model category, hybrid subtype, base models, combination strategy, forecast target, input features, data frequency, market and asset class, evaluation framework, and methodological novelty. To assess scalable annotation, we implement a three-model LLM-assisted pipeline using Claude 4.6, Gemini 3, and GPT-5, validated against a domain-expert human audit on a stratified subsample. Bibliometric results show a marked acceleration after 2020 and convergence between financial econometrics and computational predictive modelling. Hybrid and ensemble architectures outperform single-model benchmarks, with sequential GARCH–DL cascades, stacking and shrinkage ensembles, and decomposition-based hybrids emerging as prominent designs; CEEMDAN and VMD provide the most transferable gains. LLM agreement is strongly dimensionspecific: lexically observable dimensions (data frequency, model category, forecast target) achieve moderate agreement, whereas inferential dimensions (evaluation framework, methodological novelty) remain unreliable under abstract-only classification. These findings position LLMs as useful but bounded research assistants for systematic reviews in quantitative finance, capable of scaling first-pass classification when embedded in transparent, multi-model, and human-validated workflows.

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References

Engle, R. F. (1982). Autoregressive conditional heteroscedasticity with estimates of the variance of United Kingdom inflation. Econometrica, 50(4), 987–1007. https://doi.org/10.2307/1912773

Bollerslev, T. (1986). Generalized autoregressive conditional heteroskedasticity. Journal of Econometrics, 31(3), 307–327. https://doi.org/10.1016/0304-4076(86)90063-1

Andersen, T. G., Bollerslev, T., Diebold, F. X., & Ebens, H. (2001). The distribution of realized stock return volatility. Journal of Financial Economics, 61(1), 43–76. https://doi.org/10.1016/S0304-405X(01)00055-1

Corsi, F. (2009). A simple approximate long-memory model of realized volatility. Journal of Financial Econometrics, 7(2), 174–196. https://doi.org/10.1093/jjfinec/nbp001

Britten-Jones, M., & Neuberger, A. (2000). Option prices, implied price processes, and stochastic volatility. Journal of Finance, 55(2), 839–866. https://doi.org/10.1111/0022-1082.00228

Gunnarsson, E. S., Isern, H. R., Kaloudis, A., Risstad, M., Vigdel, B., & Westgaard, S. (2024). Prediction of realized volatility and implied volatility indices using AI and machine learning: A review. International Review of Financial Analysis, 93, 103221. https://doi.org/10.1016/j.irfa.2024.103221

Nosratabadi, S., Mosavi, A., Duan, P., Ghamisi, P., Filip, F., Band, S. S., Reuter, U., Gama, J., & Gandomi, A. H. (2020). Data science in economics: Comprehensive review of advanced machine learning and deep learning methods. Mathematics, 8(10), 1799. https://doi.org/10.3390/math8101799

Alvarez, R. B. P., & Bravo, J. M. V. (2026). Forecast combination for asset classes ETFs: Insights on market efficiency and arbitrage. In Proceedings of the 20th Iberian Conference on Information Systems and Technologies (CISTI 2025) (pp. 274–286). Springer Nature Switzerland. https://doi.org/10.1007/978-3-032-10721-3_25

Dennstädt, F., Zink, J., Putora, P. M., Hastings, J., & Cihoric, N. (2024). Title and abstract screening for literature reviews using large language models: An exploratory study in the biomedical domain. Systematic Reviews, 13(1), 165. https://doi.org/10.1186/s13643-024-02575-4

Delgado-Chaves, F. M., Jennings, M. J., Atalaia, A., Wolff, J., Horvath, R., Mamdouh, Z. M., Baumbach, J., & Baumbach, L. (2025). Transforming literature screening: The emerging role of large language models in systematic reviews. Proceedings of the National Academy of Sciences, 122(3), e2411962122. https://doi.org/10.1073/pnas.2411962122

Ge, W., Lalbakhsh, P., Isai, L., Lenskiy, A., & Suominen, H. (2022). Neural network-based financial volatility forecasting: A systematic review. ACM Computing Surveys, 55(1), Article 12. https://doi.org/10.1145/3483596

Mansilla-Lopez, J., Mauricio, D., & Narváez, A. (2025). Factors, forecasts, and simulations of volatility in the stock market using machine learning. Journal of Risk and Financial Management, 18(5), 227. https://doi.org/10.3390/jrfm18050227

Sezer, O. B., Gudelek, M. U., & Ozbayoglu, A. M. (2020). Financial time series forecasting with deep learning: A systematic literature review: 2005–2019. Applied Soft Computing, 90, 106181. https://doi.org/10.1016/j.asoc.2020.106181

Hu, Z., Zhao, Y., & Khushi, M. (2021). A survey of forex and stock price prediction using deep learning. Applied System Innovation, 4(1), 9. https://doi.org/10.3390/asi4010009

Shah, J., Vaidya, D., & Shah, M. (2022). A comprehensive review on multiple hybrid deep learning approaches for stock prediction. Intelligent Systems with Applications, 16, 200111. https://doi.org/10.1016/j.iswa.2022.200111

Sonkavde, G., Dharrao, D. S., Bongale, A. M., Deokate, S. T., Doreswamy, D., & Bhat, S. K. (2023). Forecasting stock market prices using machine learning and deep learning models: A systematic review, performance analysis and discussion of implications. International Journal of Financial Studies, 11(3), 94. https://doi.org/10.3390/ijfs11030094

Ferro, J. V. R., Santos, R. J. R. D., de Barros Costa, E., & da Silva Brito, J. R. (2024). Machine learning techniques via ensemble approaches in stock exchange index prediction: Systematic review and bibliometric analysis. Applied Soft Computing, 164, 112359. https://doi.org/10.1016/j.asoc.2024.112359

Raimundo, B., & Bravo, J. M. (2026). Forecasting meets portfolio theory: A bibliometric approach to decision-making under uncertainty. Humanities and Social Sciences Communications. Advance online publication. https://doi.org/10.1057/s41599-026-07252-6

Vuong, P. H., Phu, L. H., Nguyen, T. H. V., Duy, L. N., Bao, P. T., & Trinh, T. D. (2024). A bibliometric literature review of stock price forecasting: From statistical model to deep learning approach. Science Progress, 107(1). https://doi.org/10.1177/00368504241236557

Ahmed, S., Alshater, M. M., Ammari, A. E., & Hammami, H. (2022). Artificial intelligence and machine learning in finance: A bibliometric review. Research in International Business and Finance, 61, 101646. https://doi.org/10.1016/j.ribaf.2022.101646

Goyal, P., & Soni, P. (2025). Stock markets volatility during crises periods: A bibliometric analysis. Qualitative Research in Financial Markets. Advance online publication. https://doi.org/10.1108/QRFM-06-2023-0143

Bashir, M. F. (2022). Oil price shocks, stock market returns, and volatility spillovers: A bibliometric analysis and its implications. Environmental Science and Pollution Research, 29(16), 22809–22823. https://doi.org/10.1007/s11356-021-18314-4

Almeida, J., & Gonçalves, T. C. (2022). A systematic literature review of volatility and risk management on cryptocurrency investment: A methodological point of view. Risks, 10(5), 107. https://doi.org/10.3390/risks10050107

Pečiulis, T., Ahmad, N., Menegaki, A. N., & Bibi, A. (2024). Forecasting of cryptocurrencies: Mapping trends, influential sources, and research themes. Journal of Forecasting, 43(6), 1970–1995. https://doi.org/10.1002/for.3114

Manogna, R. L., & Anand, A. (2024). A bibliometric analysis on the application of deep learning in finance: Status, development and future directions. Kybernetes. Advance online publication. https://doi.org/10.1108/K-04-2023-0637

Ye, A., Maiti, A., Schmidt, M., & Pedersen, S. J. (2024). A hybrid semi-automated workflow for systematic and literature review processes with large language model analysis. Future Internet, 16(5), 167. https://doi.org/10.3390/fi16050167

Ziems, C., Held, W., Shaikh, O., Chen, J., Zhang, Z., & Yang, D. (2024). Can large language models transform computational social science? Computational Linguistics, 50(1), 237–291. https://doi.org/10.1162/coli_a_00502

Karjus, A. (2025). Machine-assisted quantitizing designs: Augmenting humanities and social sciences with artificial intelligence. Humanities and Social Sciences Communications, 12. https://doi.org/10.1057/s41599-025-04503-w

Bollerslev, T., Chou, R. Y., & Kroner, K. F. (1992). ARCH modeling in finance: A review of the theory and empirical evidence. Journal of Econometrics, 52(1-2), 5–59. https://doi.org/10.1016/0304-4076(92)90064-X

Hansen, P. R., & Lunde, A. (2006). Consistent ranking of volatility models. Journal of Econometrics, 131(1-2), 97–121. https://doi.org/10.1016/j.jeconom.2005.01.005

Christensen, K., Siggaard, M., & Veliyev, B. (2023). A machine learning approach to volatility forecasting. Journal of Financial Econometrics, 21(5), 1680–1727. https://doi.org/10.1093/jjfinec/nbac020

Poon, S.-H., & Granger, C. W. J. (2003). Forecasting volatility in financial markets: A review. Journal of Economic Literature, 41(2), 478–539. https://doi.org/10.1257/002205103765762743

Dietterich, T. G. (2000). Ensemble methods in machine learning. In Lecture Notes in Computer Science (Vol. 1857, pp. 1–15). Springer. https://doi.org/10.1007/3-540-45014-9_1

Bates, J. M., & Granger, C. W. J. (1969). The combination of forecasts. Journal of the Operational Research Society, 20(4), 451–468. https://doi.org/10.1057/jors.1969.103

Timmermann, A. (2018). Forecasting methods in finance. Annual Review of Financial Economics, 10, 449–479. https://doi.org/10.1146/annurev-financial-110217-022713

Genre, V., Kenny, G., Meyler, A., & Timmermann, A. (2013). Combining expert forecasts: Can anything beat the simple average? International Journal of Forecasting, 29(1), 108–121. https://doi.org/10.1016/j.ijforecast.2012.06.004

Cao, J., Li, Z., & Li, J. (2019). Financial time series forecasting model based on CEEMDAN and LSTM. Physica A: Statistical Mechanics and Its Applications, 519, 127–139. https://doi.org/10.1016/j.physa.2018.11.061

Wang, X., Hyndman, R. J., Li, F., & Kang, Y. (2023). Forecast combinations: An over 50-year review. International Journal of Forecasting, 39(4), 1518–1547. https://doi.org/10.1016/j.ijforecast.2022.11.005

Hajirahimi, Z., & Khashei, M. (2022). Hybridization of hybrid structures for time series forecasting: A review. Artificial Intelligence Review, 56(2), 1201–1261. https://doi.org/10.1007/s10462-022-10199-0

Cawood, P., & Zyl, T. V. (2022). Evaluating state-of-the-art, forecasting ensembles and meta-learning strategies for model fusion. Forecasting, 4(3), 732–751. https://doi.org/10.3390/forecast4030040

Pranckutė, R. (2021). Web of Science (WoS) and Scopus: The titans of bibliographic information in today's academic world. Publications, 9(1), 12. https://doi.org/10.3390/publications9010012

Aria, M., & Cuccurullo, C. (2017). bibliometrix: An R-tool for comprehensive science mapping analysis. Journal of Informetrics, 11(4), 959–975. https://doi.org/10.1016/j.joi.2017.08.007

Martins, J. N., Bravo, J. M., & Martins, J. M. (2024). Mapping the scientific landscape of knowledge management in IT SMEs: A bibliometric analysis. International Journal of Innovation and Technology Management, 21(6), 2430006. https://doi.org/10.1142/S0219877024300064

Marzi, G., Balzano, M., Caputo, A., & Pellegrini, M. M. (2025). Guidelines for bibliometric-systematic literature reviews: 10 steps to combine analysis, synthesis and theory development. International Journal of Management Reviews, 27(1), 1–23. https://doi.org/10.1111/ijmr.12381

Donthu, N., Kumar, S., Mukherjee, D., Pandey, N., & Lim, W. M. (2021). How to conduct a bibliometric analysis: An overview and guidelines. Journal of Business Research, 133, 285–296. https://doi.org/10.1016/j.jbusres.2021.04.070

Tóth, I., Lázár, Z. I., Varga, L., Járai-Szabó, F., Papp, I., Florian, R. V., & Ercsey-Ravasz, M. (2021). Mitigating ageing bias in article level metrics using citation network analysis. Journal of Informetrics, 15(1), 101105. https://doi.org/10.1016/j.joi.2020.101105

Bernasconi, E., Redavid, D., & Ferilli, S. (2025). Integrated survey classification and trend analysis via LLMs: An ensemble approach for robust literature synthesis. Electronics, 14(17), 3404. https://doi.org/10.3390/electronics14173404

Sanghera, R., Thirunavukarasu, A. J., Khoury, M. E., O'Logbon, J., Chen, Y., Watt, A., Mahmood, M., Butt, H., Nishimura, G., & Soltan, A. A. (2025). High-performance automated abstract screening with large language model ensembles. Journal of the American Medical Informatics Association. Advance online publication. https://doi.org/10.1093/jamia/ocaf050

Borovič, M., Tomovski, E., Dobnik, T. L., & Majninger, S. (2025). Evaluating proprietary and open-weight large language models as universal decimal classification recommender systems. Applied Sciences, 15(14), 7666. https://doi.org/10.3390/app15147666

Cohen, J. (1960). A coefficient of agreement for nominal scales. Educational and Psychological Measurement, 20(1), 37–46. https://doi.org/10.1177/001316446002000104

Fleiss, J. L. (1971). Measuring nominal scale agreement among many raters. Psychological Bulletin, 76(5), 378–382. https://doi.org/10.1037/h0031619

Landis, J. R., & Koch, G. G. (1977). The measurement of observer agreement for categorical data. Biometrics, 33(1), 159–174. https://doi.org/10.2307/2529310

Page, M. J., Moher, D., Bossuyt, P. M., Boutron, I., Hoffmann, T. C., Mulrow, C. D., Shamseer, L., Tetzlaff, J. M., Akl, E. A., Brennan, S. E., Chou, R., Glanville, J., Grimshaw, J. M., Hróbjartsson, A., Lalu, M. M., Li, T., Loder, E. W., Mayo-Wilson, E., McDonald, S., ... McKenzie, J. E. (2021). PRISMA 2020 explanation and elaboration: Updated guidance and exemplars for reporting systematic reviews. The BMJ, 372, n160. https://doi.org/10.1136/bmj.n160

Lotka, A. J. (1926). The frequency distribution of scientific productivity. Journal of the Washington Academy of Sciences, 16(12), 317–323.

Kim, H. Y., & Won, C. H. (2018). Forecasting the volatility of stock price index: A hybrid model integrating LSTM with multiple GARCH-type models. Expert Systems with Applications, 103, 25–37. https://doi.org/10.1016/j.eswa.2018.03.002

Kristjanpoller, W., & Minutolo, M. C. (2016). Forecasting volatility of oil price using an artificial neural network-GARCH model. Expert Systems with Applications, 65, 233–241. https://doi.org/10.1016/j.eswa.2016.08.045

Kristjanpoller, W., & Minutolo, M. C. (2015). Gold price volatility: A forecasting approach using the artificial neural network–GARCH model. Expert Systems with Applications, 42(20), 7245–7251. https://doi.org/10.1016/j.eswa.2015.04.058

Patton, A. J., & Sheppard, K. (2009). Optimal combinations of realised volatility estimators. International Journal of Forecasting, 25(2), 218–238. https://doi.org/10.1016/j.ijforecast.2009.01.011

Lu, X., Ma, F., Xu, J., & Zhang, Z. (2022). Oil futures volatility predictability: New evidence based on machine learning models. International Review of Financial Analysis, 83, 102299. https://doi.org/10.1016/j.irfa.2022.102299

Zhang, Y., Ma, F., & Wei, Y. (2019). Out-of-sample prediction of the oil futures market volatility: A comparison of new and traditional combination approaches. Energy Economics, 81, 1109–1120. https://doi.org/10.1016/j.eneco.2019.05.018

Aras, S. (2021). Stacking hybrid GARCH models for forecasting Bitcoin volatility. Expert Systems with Applications, 174, 114747. https://doi.org/10.1016/j.eswa.2021.114747

Lin, Y., Lin, Z., Liao, Y., Li, Y., Xu, J., & Yan, Y. (2022). Forecasting the realized volatility of stock price index: A hybrid model integrating CEEMDAN and LSTM. Expert Systems with Applications, 206, 117736. https://doi.org/10.1016/j.eswa.2022.117736

Zhang, Y., Zhang, T., & Hu, J. (2025). Forecasting stock market volatility using CNN-BiLSTM-attention model with mixed-frequency data. Mathematics, 13(11), 1889. https://doi.org/10.3390/math13111889

Koo, E., & Kim, G. (2022). A hybrid prediction model integrating GARCH models with a distribution manipulation strategy based on LSTM networks for stock market volatility. IEEE Access, 10, 34743–34754. https://doi.org/10.1109/ACCESS.2022.3163723

Mishra, A. K., Renganathan, J., & Gupta, A. (2024). Volatility forecasting and assessing risk of financial markets using multi-transformer neural network based architecture. Engineering Applications of Artificial Intelligence, 133, 108223. https://doi.org/10.1016/j.engappai.2024.108223

Ribeiro, G. T., Santos, A. A. P., Mariani, V. C., & dos Santos Coelho, L. (2021). Novel hybrid model based on echo state neural network applied to the prediction of stock price return volatility. Expert Systems with Applications, 184, 115490. https://doi.org/10.1016/j.eswa.2021.115490

Ngwaba, C. A. (2025). HAR-RV-CARMA: A Kalman filter-weighted hybrid model for enhanced volatility forecasting. Risks, 13(11), 223. https://doi.org/10.3390/risks13110223

Kakade, K., Jain, I., & Mishra, A. K. (2022). Value-at-Risk forecasting: A hybrid ensemble learning GARCH-LSTM based approach. Resources Policy, 78, 102903. https://doi.org/10.1016/j.resourpol.2022.102903

Léber, D., & Egyed, B. (2025). The sentiment augmented GARCH-LSTM hybrid model for value-at-risk forecasting. Computational Economics. Advance online publication. https://doi.org/10.1007/s10614-025-11042-8

Wei, Y., Liu, J., Lai, X., & Hu, Y. (2017). Which determinant is the most informative in forecasting crude oil market volatility: Fundamental, speculation, or uncertainty? Energy Economics, 68, 141–150. https://doi.org/10.1016/j.eneco.2017.09.016

Niu, Z., Wang, C., & Zhang, H. (2023). Forecasting stock market volatility with various geopolitical risks categories: New evidence from machine learning models. International Review of Financial Analysis, 89, 102738. https://doi.org/10.1016/j.irfa.2023.102738

Su, Y., Liang, C., Zhang, L., & Zeng, Q. (2022). Uncover the response of the U.S. grain commodity market on El Niño–Southern Oscillation. International Review of Economics & Finance, 81, 1–17. https://doi.org/10.1016/j.iref.2022.05.003

Hong, Y., Yu, J., Su, Y., & Wang, L. (2023). Southern oscillation: Great value of its trends for forecasting crude oil spot price volatility. International Review of Economics & Finance, 84, 1052–1068. https://doi.org/10.1016/j.iref.2022.11.023

Gong, X., Lai, P., He, M., & Wen, D. (2024). Climate risk and energy futures high frequency volatility prediction. Energy, 304, 132466. https://doi.org/10.1016/j.energy.2024.132466

Herrera, G. P., Constantino, M., Su, J. J., & Naranpanawa, A. (2022). Renewable energy stocks forecast using Twitter investor sentiment and deep learning. Energy Economics, 114, 106285. https://doi.org/10.1016/j.eneco.2022.106285

Afkhami, M., Cormack, L., & Ghoddusi, H. (2017). Google search keywords that best predict energy price volatility. Energy Economics, 67, 17–27. https://doi.org/10.1016/j.eneco.2017.07.014

Fu, T., Huang, D., Feng, L., & Tang, X. (2024). More is better? The impact of predictor choice on the INE oil futures volatility forecasting. Energy Economics, 134, 107540. https://doi.org/10.1016/j.eneco.2024.107540

García-Medina, A., & Aguayo-Moreno, E. (2024). LSTM–GARCH hybrid model for the prediction of volatility in cryptocurrency portfolios. Computational Economics, 63(3), 1113–1134. https://doi.org/10.1007/s10614-023-10373-8

Lu, X., Ma, F., Wang, J., & Zhu, B. (2021). Oil shocks and stock market volatility: New evidence. Energy Economics, 103, 105567. https://doi.org/10.1016/j.eneco.2021.105567

Liu, L., & Pan, Z. (2020). Forecasting stock market volatility: The role of technical variables. Economic Modelling, 84, 55–65. https://doi.org/10.1016/j.econmod.2019.03.007

Zeng, H., Wu, R., Abedin, M. Z., & Ahmed, A. D. (2025). Forecasting volatility of Australian stock market applying WTC-DCA-informer framework. Journal of Forecasting. Advance online publication. https://doi.org/10.1002/for.3264

Qiu, Y., Qu, S., Shi, Z., & Xie, T. (2025). Predicting cryptocurrency volatility: The power of model clustering. Economic Modelling, 142, 106986. https://doi.org/10.1016/j.econmod.2024.106986

Degiannakis, S., & Kafousaki, E. (2025). International Journal of Forecasting, 41(4), 1559–1588. https://doi.org/10.1016/j.ijforecast.2025.01.007

Mutinda, J. K., & Yong, L. (2025). Decomposition-ensemble approach for realized volatility prediction. Computational Economics. Advance online publication. https://doi.org/10.1007/s10614-025-11020-0

Published

2026-09-15

How to Cite

Baggi Prieto Alvarez, R., & Ventura Bravo, J. M. (2026). Mapping Hybrid and Ensemble Models for Financial Volatility Forecasting: A Bibliometric and LLM-Assisted Review. Journal of Soft Computing and Decision Analytics, 4(1), 179-212. https://doi.org/10.31181/jscda41202694