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Foundations and Innovations in Data Fusion and Ensemble Learning for Effective Consensus

Author

Listed:
  • Ke-Lin Du

    (School of Mechanical and Electrical Engineering, Guangdong University of Science and Technology, Dongguan 523668, China)

  • Rengong Zhang

    (Zhejiang Yugong Information Technology Co., Ltd., Changhe Road 475, Hangzhou 310002, China)

  • Bingchun Jiang

    (School of Mechanical and Electrical Engineering, Guangdong University of Science and Technology, Dongguan 523668, China)

  • Jie Zeng

    (Shenzhen Feng Xing Tai Bao Technology Co., Ltd., Shenzhen 518063, China)

  • Jiabin Lu

    (Faculty of Electromechanical Engineering, Guangdong University of Technology, Guangzhou 510006, China)

Abstract

Ensemble learning and data fusion techniques play a crucial role in modern machine learning, enhancing predictive performance, robustness, and generalization. This paper provides a comprehensive survey of ensemble methods, covering foundational techniques such as bagging, boosting, and random forests, as well as advanced topics including multiclass classification, multiview learning, multiple kernel learning, and the Dempster–Shafer theory of evidence. We present a comparative analysis of ensemble learning and deep learning, highlighting their respective strengths, limitations, and synergies. Additionally, we examine the theoretical foundations of ensemble methods, including bias–variance trade-offs, margin theory, and optimization-based frameworks, while analyzing computational trade-offs related to training complexity, inference efficiency, and storage requirements. To enhance accessibility, we provide a structured comparative summary of key ensemble techniques. Furthermore, we discuss emerging research directions, such as adaptive ensemble methods, hybrid deep learning approaches, and multimodal data fusion, as well as challenges related to interpretability, model selection, and handling noisy data in high-stakes applications. By integrating theoretical insights with practical considerations, this survey serves as a valuable resource for researchers and practitioners seeking to understand the evolving landscape of ensemble learning and its future prospects.

Suggested Citation

  • Ke-Lin Du & Rengong Zhang & Bingchun Jiang & Jie Zeng & Jiabin Lu, 2025. "Foundations and Innovations in Data Fusion and Ensemble Learning for Effective Consensus," Mathematics, MDPI, vol. 13(4), pages 1-49, February.
  • Handle: RePEc:gam:jmathe:v:13:y:2025:i:4:p:587-:d:1588218
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    References listed on IDEAS

    as
    1. Ke-Lin Du & M. N. S. Swamy & Zhang-Quan Wang & Wai Ho Mow, 2023. "Matrix Factorization Techniques in Machine Learning, Signal Processing, and Statistics," Mathematics, MDPI, vol. 11(12), pages 1-50, June.
    2. Blaser, Rico & Fryzlewicz, Piotr, 2021. "Regularizing axis-aligned ensembles via data rotations that favor simpler learners," LSE Research Online Documents on Economics 107935, London School of Economics and Political Science, LSE Library.
    3. Blaser, Rico & Fryzlewicz, Piotr, 2016. "Random rotation ensembles," LSE Research Online Documents on Economics 62182, London School of Economics and Political Science, LSE Library.
    4. Peter Hall & Andrew P. Robinson, 2009. "Reducing variability of crossvalidation for smoothing-parameter choice," Biometrika, Biometrika Trust, vol. 96(1), pages 175-186.
    5. Sexton, Joseph & Laake, Petter, 2009. "Standard errors for bagged and random forest estimators," Computational Statistics & Data Analysis, Elsevier, vol. 53(3), pages 801-811, January.
    6. Jing Lei & Larry Wasserman, 2014. "Distribution-free prediction bands for non-parametric regression," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 76(1), pages 71-96, January.
    7. Yoonsuh Jung & Jianhua Hu, 2015. "A K -fold averaging cross-validation procedure," Journal of Nonparametric Statistics, Taylor & Francis Journals, vol. 27(2), pages 167-179, June.
    8. Stefan Wager & Susan Athey, 2018. "Estimation and Inference of Heterogeneous Treatment Effects using Random Forests," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 113(523), pages 1228-1242, July.
    9. Minerva Mukhopadhyay & David B. Dunson, 2020. "Targeted Random Projection for Prediction From High-Dimensional Features," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 115(532), pages 1998-2010, December.
    10. Paul Horst, 1961. "Relations amongm sets of measures," Psychometrika, Springer;The Psychometric Society, vol. 26(2), pages 129-149, June.
    11. Lin, Yi & Jeon, Yongho, 2006. "Random Forests and Adaptive Nearest Neighbors," Journal of the American Statistical Association, American Statistical Association, vol. 101, pages 578-590, June.
    12. Jaouad Mourtada & Stéphane Gaïffas & Erwan Scornet, 2021. "AMF: Aggregated Mondrian forests for online learning," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 83(3), pages 505-533, July.
    13. Ke-Lin Du & Bingchun Jiang & Jiabin Lu & Jingyu Hua & M. N. S. Swamy, 2024. "Exploring Kernel Machines and Support Vector Machines: Principles, Techniques, and Future Directions," Mathematics, MDPI, vol. 12(24), pages 1-58, December.
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    Cited by:

    1. Koen W. De Bock & Matthias Bogaert & Philippe Jardin, 2025. "Ensemble learning for operations research and business analytics," Annals of Operations Research, Springer, vol. 353(2), pages 419-448, October.

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