MCD-Temporal: Constructing a New Time-Entropy Enhanced Dynamic Weighted Heterogeneous Ensemble for Cognitive Level Classification
Abstract
1. Introduction
- 1.
- We propose time entropy and semantic richness features to dynamically quantify teaching style and dialogue quality, moving beyond static textual analysis.
- 2.
- 3.
- We construct the MCD-temporal dataset, enhancing the original MCD dataset with nine dynamic features to support temporal-semantic research in education.
- 4.
- We demonstrate superior and robust performance, achieving a macro-F1 score of 0.6236 and showing significant gains on the challenging minority class.
2. Related Work
2.1. Current State and Challenges of Cognitive Assessment in Instructional Dialogues
2.2. Application and Limitations of Temporal Dynamic Features in the Educational Analysis
2.3. Advances in Ensemble Learning for Imbalanced Educational Data
3. Dataset
3.1. Dataset Reconstruction and Enhancement
- (1)
- Temporal Features: Time entropy quantifies the teacher–student speaking balance to categorize instructional styles, ranging from lecture-heavy (low entropy) to dialogic and student-active (high entropy). Teaching style classifies patterns, enabling tailored analysis of instructional efficacy.
- (2)
- Semantic Features: Semantic richness evaluates information density, signaling dialogue substance and cognitive demand.
- (3)
- Student Features: Lexical diversity reflects vocabulary breadth, pointing to language development needs. Explanation ratio measures logical elaboration, tracing the growth of structured reasoning. Student mastery score evaluates proficiency, informing personalized learning paths.
- (4)
- Teacher Features: Question ratio quantifies questioning, assessing the use of inquiry. Explanation ratio assesses exposition, measuring direct knowledge transfer. Guidance ratio evaluates prompting, gauging scaffolding effectiveness. Teacher guidance score integrates impact, benchmarking instructional quality.
- (5)
- Interaction Features: Student response depth measures relevance, capturing moment-to-moment engagement quality. Teacher question quality identifies open-ended prompts, highlighting catalysts for critical thinking. Dialogue coherence evaluates continuity, ensuring the conversation builds knowledge logically.
- (6)
- Comprehensive Evaluation Features: Golden speech ratio detects pivotal responses, spotlighting transformative learning moments. Interaction quality score rates effectiveness, quantifying the overall pedagogical value of a dialogue.
3.2. Detailed Feature Computation
4. Methodology
4.1. Time Entropy Style Categorization
| Algorithm 1: Teaching style classification |
![]() |
4.2. Latent Semantic Density Extraction
4.2.1. TF-IDF Vectorization with SVD for Extraction
4.2.2. Role of Semantic Richness in the Ensemble
4.3. Dynamic Weighted Heterogeneous Ensemble
4.3.1. Dynamic Weight Calculation Strategy
| Algorithm 2: Dynamic weight calculation strategy |
![]() |
4.3.2. Weighted Probability Fusion Mechanism
4.3.3. Feature Importance Analysis
4.3.4. Comprehensive Evaluation System
4.4. Decision Flow for Practical Implementation
5. Experiments
5.1. Experimental Setup
5.1.1. Experimental Dataset
5.1.2. Evaluation Metrics and Experimental Design
5.1.3. Comparison Methods
5.2. Results and Analysis
5.2.1. Dataset Statistical Analysis
5.2.2. Overall Performance Comparison
5.2.3. Ablation Study Analysis
5.2.4. Statistical Significance Test
5.2.5. ROC and Model Discriminative Ability
5.2.6. Fine-Grained Error Analysis and Feature Refinement Directions
6. Discussion
6.1. Experimental Validation and Core Advantages of the DWHE Framework
6.2. Implications and Implementation Paths of Teaching Practice
7. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
Abbreviations
| MCD | Multi-turn Classroom Dialogue |
| DWHE | Dynamic Weighted Heterogeneous Ensemble |
| TF-IDF | Term Frequency-Inverse Document Frequency |
| SVD | Singular Value Decomposition |
| XGBoost | Extreme Gradient Boosting |
| LightGBM | Light Gradient Boosting Machine |
| SMOTE | Synthetic Minority Over-Sampling Technique |
| ROC-AUC | Receiver Operating Characteristic-Area Under Curve |
Appendix A. Summary of Limitations and Proposed Solutions
| Aspect | Prior Work Limitations | Our Contribution |
|---|---|---|
| Temporal Features | Relies on static textual features; overlooks dynamic temporal interactions and speaking balance | Introduces time entropy to quantify teacher–student speaking patterns; adds 9 dynamic temporal-semantic features |
| Style Modeling | Lacks quantitative teaching style framework; uses theoretical thresholds for categorization | Proposes a data-driven percentile-based teaching style classification (spoon-feeding/balanced/inquiry-based) |
| Imbalance Handling | Employs homogeneous ensembles or static weighting schemes; fails to adapt to class distribution | Designs DWHE with adaptive weighting based on multi-faceted data characteristics |
| Reproducibility Assets | Limited public datasets with dynamic temporal features; lack of comprehensive feature codes | Constructs and releases MCD-temporal dataset with all feature computation code publicly available in Gitee repository |
Appendix B. Hyperparameter Tuning Details for DWHE Base Learners
Appendix B.1. Hyperparameter Search Space and Optimization Methodology
| Parameter | XGBoost Search Space | LightGBM Search Space |
|---|---|---|
| max_depth | [4, 6, 8] | [4, 7, 10] |
| n_estimators | [100, 300, 500] | [100, 300, 500] |
| learning_rate | [0.01, 0.05, 0.1] | [0.01, 0.05, 0.1] |
| subsample | [0.7, 0.8, 0.9] | [0.7, 0.8, 0.9] |
| colsample_bytree | [0.7, 0.8, 0.9] | [0.7, 0.8, 0.9] |
| reg_alpha | [0, 0.1, 1.0] | [0, 0.1, 1.0] |
| reg_lambda | [0.1, 1.0, 10.0] | [0.1, 1.0, 10.0] |
| Imbalance Handling | scale_pos_weight: [1.0, 2.5, 5.0] | class_weight: [None, ‘balanced’] |
Appendix B.2. Top-Performing Configurations and Analysis
| Rank | F1 Score | max_depth | n_estimators | learning_rate | scale_pos_weight | subsample | colsample_bytree | reg_alpha | reg_lambda |
|---|---|---|---|---|---|---|---|---|---|
| 1 (ours) | 0.6121 | 4 | 100 | 0.1 | 1.0 | 0.8 | 0.9 | 1.0 | 0.1 |
| 2 | 0.6121 | 4 | 100 | 0.1 | 2.5 | 0.8 | 0.9 | 1.0 | 0.1 |
| 3 | 0.6121 | 4 | 100 | 0.1 | 5.0 | 0.8 | 0.9 | 1.0 | 0.1 |
| 4 | 0.6107 | 4 | 100 | 0.1 | 1.0 | 0.7 | 0.9 | 0.1 | 1.0 |
| 5 | 0.6107 | 4 | 100 | 0.1 | 2.5 | 0.7 | 0.9 | 0.1 | 1.0 |
| 6 | 0.6107 | 4 | 100 | 0.1 | 5.0 | 0.7 | 0.9 | 0.1 | 1.0 |
| 7 | 0.6105 | 4 | 100 | 0.1 | 1.0 | 0.8 | 0.8 | 0.0 | 10.0 |
| 8 | 0.6105 | 4 | 100 | 0.1 | 2.5 | 0.8 | 0.8 | 0.0 | 10.0 |
| 9 | 0.6105 | 4 | 100 | 0.1 | 5.0 | 0.8 | 0.8 | 0.0 | 10.0 |
| 10 | 0.6103 | 4 | 100 | 0.1 | 1.0 | 0.8 | 0.9 | 0.0 | 0.1 |
| Rank | F1 Score | max_depth | n_estimators | learning_rate | class_weight | subsample | colsample_bytree | reg_alpha | reg_lambda |
|---|---|---|---|---|---|---|---|---|---|
| 1 (ours) | 0.6338 | 10 | 300 | 0.01 | balanced | 0.7 | 0.7 | 0.1 | 0.1 |
| 2 | 0.6338 | 10 | 300 | 0.01 | balanced | 0.8 | 0.7 | 0.1 | 0.1 |
| 3 | 0.6338 | 10 | 300 | 0.01 | balanced | 0.9 | 0.7 | 0.1 | 0.1 |
| 4 | 0.6331 | 7 | 100 | 0.01 | balanced | 0.7 | 0.8 | 1.0 | 1.0 |
| 5 | 0.6331 | 7 | 100 | 0.01 | balanced | 0.8 | 0.8 | 1.0 | 1.0 |
| 6 | 0.6331 | 7 | 100 | 0.01 | balanced | 0.9 | 0.8 | 1.0 | 1.0 |
| 7 | 0.6330 | 4 | 100 | 0.1 | balanced | 0.7 | 0.9 | 1.0 | 10.0 |
| 8 | 0.6330 | 4 | 100 | 0.1 | balanced | 0.8 | 0.9 | 1.0 | 10.0 |
| 9 | 0.6330 | 4 | 100 | 0.1 | balanced | 0.9 | 0.9 | 1.0 | 10.0 |
| 10 | 0.6329 | 7 | 300 | 0.01 | balanced | 0.7 | 0.7 | 0.1 | 1.0 |
Appendix B.3. Key Findings from Hyperparameter Optimization
Appendix B.3.1. XGBoost Configuration Analysis
Appendix B.3.2. LightGBM Configuration Analysis
Appendix C. Dynamic Weight Threshold Analysis
Appendix C.1. Empirical Threshold Determination
| Fold | Understanding Ratio | Dynamic Threshold | Train Samples | Understanding Samples |
|---|---|---|---|---|
| 1 | 0.1983 | 0.1824 | 4180 | 829 |
| 2 | 0.1983 | 0.1823 | 4181 | 829 |
| 3 | 0.1985 | 0.1826 | 4181 | 830 |
| 4 | 0.1985 | 0.1826 | 4181 | 830 |
| 5 | 0.1985 | 0.1826 | 4181 | 830 |
Appendix C.2. Statistical Summary
| Statistic | Value |
|---|---|
| Mean Threshold | 0.1825 |
| Standard Deviation | 0.0001 |
| Minimum | 0.1823 |
| Maximum | 0.1826 |
| Median | 0.1826 |
| Recommended Threshold | 0.1826 |
Appendix C.3. Parameter Selection Rationale
Appendix C.4. Reproduction Specification
| Recommended: | r_threshold = 0.1826 |
| Parameters: | ± = 0.15, adjustment = 0.92, min_threshold = 0.12 |
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| Feature Category | MCD | MCD-Temporal (Ours) |
|---|---|---|
| Basic Statistical Features | Dialogue turn num, etc. | Remain unchanged. |
| Temporal Features | Elapsed time std, etc. | Time Entropy |
| Teaching Style | ||
| Semantic Features | N-gram similarity, etc. | Semantic richness |
| Student Features | Student x num, etc. | Lexical Diversity |
| Explanation Ratio | ||
| Student Mastery Score | ||
| Teacher Features | Key question words, etc. | Question Ratio |
| Explanation Ratio | ||
| Guidance Ratio | ||
| Teacher Guidance Score | ||
| Interaction Features | × | Student Response Depth |
| Teacher Question Quality | ||
| Dialogue Coherence | ||
| Comprehensive Evaluation Features | × | Golden Speech Ratio |
| Interaction Quality Score |
| Class | Sample Count | Percentage |
|---|---|---|
| Mastery | 2619 | 50.1% |
| Understanding | 1037 | 19.8% |
| Apprentice | 1570 | 30.1% |
| Method | Macro-F1 ↑ | Std. Dev. ↓ |
|---|---|---|
| Random Forest [33] | 0.6156 | 0.0149 |
| Logistic Regression [35] | 0.6233 | 0.0081 |
| Balanced Random Forest [34] | 0.6195 | 0.0130 |
| XGBoost [11] | 0.5937 | 0.0111 |
| LightGBM [12] | 0.6035 | 0.0157 |
| DWHE (ours) | 0.6236 | 0.0110 |
| The arrows indicate the desired direction of performance: ↑ higher values are better; ↓ lower values are better. | ||
| Model Variant | XGBoost | LightGBM | Dynamic Weighting | Macro-F1 ↑ | Std. Dev. ↓ | Understanding F1 ↑ |
|---|---|---|---|---|---|---|
| XGBoost_Only | ✓ | × | × | 0.6205 | 0.0128 | 0.2468 |
| LightGBM_Only | × | ✓ | × | 0.6152 | 0.0176 | 0.3695 |
| Static Weight Ensemble | ✓ | ✓ | × | 0.6182 | 0.0137 | 0.3196 |
| DWHE (ours) | ✓ | ✓ | ✓ | 0.6236 | 0.0110 | 0.4044 |
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Share and Cite
Wu, Y.; Zhang, L.; Li, B.; Zhang, W. MCD-Temporal: Constructing a New Time-Entropy Enhanced Dynamic Weighted Heterogeneous Ensemble for Cognitive Level Classification. Informatics 2025, 12, 134. https://doi.org/10.3390/informatics12040134
Wu Y, Zhang L, Li B, Zhang W. MCD-Temporal: Constructing a New Time-Entropy Enhanced Dynamic Weighted Heterogeneous Ensemble for Cognitive Level Classification. Informatics. 2025; 12(4):134. https://doi.org/10.3390/informatics12040134
Chicago/Turabian StyleWu, Yuhan, Long Zhang, Bin Li, and Wendong Zhang. 2025. "MCD-Temporal: Constructing a New Time-Entropy Enhanced Dynamic Weighted Heterogeneous Ensemble for Cognitive Level Classification" Informatics 12, no. 4: 134. https://doi.org/10.3390/informatics12040134
APA StyleWu, Y., Zhang, L., Li, B., & Zhang, W. (2025). MCD-Temporal: Constructing a New Time-Entropy Enhanced Dynamic Weighted Heterogeneous Ensemble for Cognitive Level Classification. Informatics, 12(4), 134. https://doi.org/10.3390/informatics12040134



