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ElimRidge-HFM: A Mathematical Integration of Feature Selection, Boosting, and Hyperparameter Search for Enhanced Predictive Performance in E-Learning

Authors

  • Naga Satya Koti Mani Kumar Tirumanadham Department of Computer Science and Engineering, Bharath Institute of Higher Education and Research, Selaiyur, Tamil Nadu, India https://orcid.org/0000-0003-3900-1900
  • Thaiyalnayaki Sekhar Department of Computer Science and Engineering, Bharath Institute of Higher Education and Research, Selaiyur, Tamil Nadu, India https://orcid.org/0009-0008-5138-731X
  • Suresh Babu Chandolu Department of Computer Science and Engineering, Dhanekula Institute of Engineering and Technology, Gangur, Vijayawada, Andhra Pradesh, India https://orcid.org/0009-0006-5871-3822
  • J. Hymavathi Department of Computer Science and Engineering, Koneru Lakshmaiah Education Foundation, Guntur, Andhra Pradesh, India
  • K Varada Rajkumar Department of Computer Science and Engineering (AIML), MLR Institute of Technology, Hyderabad, Telangana, India
  • Punugupati Chiranjeevi Department of Mathematics and Humanities, R. V. R. & J. C. College of Engineering, Guntur, Andhra Pradesh, India

DOI:

https://doi.org/10.37256/cm.6420256289

Keywords:

e-learning, ridge regularization, recursive feature elimination, hybrid fusion model, Gaussian process-enhanced random search

Abstract

The rising demand for e-learning platforms requires reliable predictive models to improve learning results. This study establishes ElimRidge-Hybrid Fusion Model (HFM) as a new predictive framework for e-learning data sets that solves the problems of feature selection, model overfitting, and potential dataset complexity. Thus, the objective of the study is as follows: Enhance the predictive precision and interpretability of the model by applying feature selection techniques using Ridge Regularization (L2) in conjugation with Recursive Feature Elimination (RFE) and using a Hybrid Fusion Model (HFM), which is the combination of AdaBoost and CatBoost. For the hyperparameter tuning, Gaussian Process-Enhanced Random Search (GP-RS) is used to explore the hyperparameters of the space efficiently with the least number of random trials. For data clearing this framework uses Synthetic Minority Over-sampling Technique (SMOTE) for class balancing, Interquartile Range (IQR) for outlier removal and, Z-score normalization for normalization. Experimental results demonstrate that ElimRidge-HFM significantly improves predictive performance, achieving 97% accuracy, 97% precision, and 97% F1-score. Statistical validation (p < 0.05) confirms its superiority over traditional models, effectively handling imbalanced and noisy e-learning datasets. These findings highlight its potential for enhancing personalized learning strategies and optimizing student engagement. These results further strengthen the claims that ElimRidge-HFM has great ability to handle imbalanced and noisy data sets due to its scalability. This research contributes to the development of e-learning techniques by providing opportunities to introduce decisions and/or strategies when the students’ performance is low or during cases of inequality in students’ learning opportunities.

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Published

2025-07-22

How to Cite

1.
Tirumanadham NSKMK, Sekhar T, Chandolu SB, Hymavathi J, Rajkumar KV, Chiranjeevi P. ElimRidge-HFM: A Mathematical Integration of Feature Selection, Boosting, and Hyperparameter Search for Enhanced Predictive Performance in E-Learning. Contemp. Math. [Internet]. 2025 Jul. 22 [cited 2026 Jun. 4];6(4):4459-82. Available from: https://ojs.wiserpub.com/index.php/CM/article/view/6289