Research on personalized teaching modeling based on dynamic entropy control clustering: Innovation and application of AKM-DWEC framework

The growing demand for personalized education necessitates intelligent clustering methods capable of handling dynamic, high-dimensional educational data while preserving privacy. This study proposes an Adaptive K-means framework with Dynamic Weight Entropy Control (AKM-DWEC), which addresses three c...

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Veröffentlicht in:Systems and soft computing Jg. 7; S. 200353
1. Verfasser: Chen, Xihua
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Sprache:Englisch
Veröffentlicht: Elsevier B.V 01.12.2025
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Abstract The growing demand for personalized education necessitates intelligent clustering methods capable of handling dynamic, high-dimensional educational data while preserving privacy. This study proposes an Adaptive K-means framework with Dynamic Weight Entropy Control (AKM-DWEC), which addresses three critical challenges in educational data analysis: (1) Dynamic feature relevance through entropy-regularized weight optimization, explicitly constraining weight uniformity with a novel regularization term λ∑i=1d(Wi−1d)2; (2) Real-time adaptation via incremental micro-cluster updating, reducing computational overhead by 85.3 %; and (3) privacy-utility balance achieved through dual perturbation combining Laplace noise (ε1=0.4) and Gaussian random projection (ε2=0.6). Experimental validation on 800 students' multimodal dataset demonstrates superior performance with 0.892 silhouette coefficient (25.1 % improvement over baseline K-means) and 91.3 % F1-score in learner categorization, while maintaining 91.2 % clustering purity under (ε=1.0, δ=10^5) - differential privacy. The framework's educational impact is evidenced by 28.7 % knowledge mastery improvement (p < 0.001) and 41.7 % reduction in recommendation errors. This work advances personalized education through its dynamic adaptation mechanism and rigorous privacy preservation, though cross-cultural applicability requires further investigation.
AbstractList The growing demand for personalized education necessitates intelligent clustering methods capable of handling dynamic, high-dimensional educational data while preserving privacy. This study proposes an Adaptive K-means framework with Dynamic Weight Entropy Control (AKM-DWEC), which addresses three critical challenges in educational data analysis: (1) Dynamic feature relevance through entropy-regularized weight optimization, explicitly constraining weight uniformity with a novel regularization term λ∑i=1d(Wi−1d)2; (2) Real-time adaptation via incremental micro-cluster updating, reducing computational overhead by 85.3 %; and (3) privacy-utility balance achieved through dual perturbation combining Laplace noise (ε1=0.4) and Gaussian random projection (ε2=0.6). Experimental validation on 800 students' multimodal dataset demonstrates superior performance with 0.892 silhouette coefficient (25.1 % improvement over baseline K-means) and 91.3 % F1-score in learner categorization, while maintaining 91.2 % clustering purity under (ε=1.0, δ=10^5) - differential privacy. The framework's educational impact is evidenced by 28.7 % knowledge mastery improvement (p < 0.001) and 41.7 % reduction in recommendation errors. This work advances personalized education through its dynamic adaptation mechanism and rigorous privacy preservation, though cross-cultural applicability requires further investigation.
ArticleNumber 200353
Author Chen, Xihua
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  organization: School of Engineering, Guangzhou College of Technology and Business, Guangzhou 510850, Guangdong, PR China
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Keywords Multimodal data governance
Differential privacy preservation
Personalized learning model
Adaptive clustering algorithm
Dynamic weight entropy control
Language English
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Snippet The growing demand for personalized education necessitates intelligent clustering methods capable of handling dynamic, high-dimensional educational data while...
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SubjectTerms Adaptive clustering algorithm
Differential privacy preservation
Dynamic weight entropy control
Multimodal data governance
Personalized learning model
Title Research on personalized teaching modeling based on dynamic entropy control clustering: Innovation and application of AKM-DWEC framework
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