The proposed ML-HQNC framework was evaluated against Fast R-CNN, Bi-LSTM, CNN, and XGBoost using conventional classification metrics, including Accuracy, Precision, Recall, F1-score, and the area under the receiver operating characteristic curve (AUC), together with the proposed evaluation metrics Interest Detection Precision (IDP), Quantum Pattern Stability Index (QPSI), and Cross-Domain Adaptability Gain (CDAG). The mathematical definitions of these metrics are provided in Supplementary File 1 (Section S5).
To assess the robustness of the proposed framework, all experiments were repeated five times using different random initializations. The reported performance values are presented as the mean ± standard deviation across the five runs. Statistical significance between the proposed framework and the baseline models was evaluated using a paired t-test, with p < 0.05 considered statistically significant.
As summarized in Supplementary Table 1, simulation experiments were conducted using the Teaching Quality Evaluation Dataset containing 1,014 records. A total of 800 records were used for model training, whereas 200 records were reserved for testing. The proposed ML-HQNC framework and comparison models were implemented in the Jupyter Notebook environment using Python. The Teaching_Quality attribute served as the original target variable in the publicly available Teaching Quality Evaluation Dataset and consisted of two classes, Good and Excellent. These labels were used as the prediction targets for training and evaluating the ML-HQNC framework. The resulting prediction categories are summarized in Table 3. Supplementary Table 2 summarizes the validation results of the Box–Cox Robust IQR Scaling (BCRIS) preprocessing stage. The preprocessing pipeline removed missing and duplicate records, reduced the influence of outliers, normalized feature distributions, and improved semantic and behavioral consistency before feature transformation and model training.
Table 3: Target variable of the Teaching Quality Evaluation Dataset. Description of the original Teaching_Quality target variable and its classification categories (Good and Excellent) used for model training and evaluation. Please click here to download this Table.
Supplementary Table 3 presents representative features generated by the Quantum Cognitive State Model (QCSM). The extracted features describe student learning behavior, including cognitive state, engagement, uncertainty, topic transitions, and behavioral consistency, and served as the input to the subsequent QES-WOFS feature selection stage. Supplementary Table S4 lists the final features selected by the QES-WOFS algorithm together with their feature categories, relative influence levels, and functional roles within the proposed framework. The characteristics of the extracted multidimensional behavioral features are summarized in Supplementary Table 5. Supplementary Table 6 presents representative edge structures generated during behavioral representation for the two prediction classes (Good and Excellent).
As shown in Figure 4 and Table 4, the proposed ML-HQNC framework achieved the highest F1-score (87.9%) among the evaluated methods. The corresponding F1-scores for Fast R-CNN, Bi-LSTM, CNN, and XGBoost were 77.9%, 80.2%, 82.8%, and 85.8%, respectively. Statistical significance was assessed using a two-sided independent t-test (p < 0.05).
Figure 5 and Table 5 summarize the Interest Detection Precision (IDP) results. The proposed ML-HQNC framework achieved an IDP of 89.3%, compared with 79.11%, 82.12%, 84.6%, and 87.10% for Fast R-CNN, Bi-LSTM, CNN, and XGBoost, respectively. Figure 6 and Table 6 present the Quantum Pattern Stability Index (QPSI) results. The proposed framework achieved a QPSI value of 92.7%, whereas Fast R-CNN, Bi-LSTM, CNN, and XGBoost achieved 81.1%, 84.11%, 87.4%, and 90.9%, respectively. Figure 7 and Table 7 summarize the Cross-Domain Adaptability Gain (CDAG) results. The proposed ML-HQNC framework achieved the highest CDAG value (0.95), compared with Fast R-CNN (0.78), Bi-LSTM (0.83), CNN (0.80), and XGBoost (0.86). As shown in Figure 8 and Table 8, the proposed ML-HQNC framework achieved the highest classification accuracy (96.17%). The corresponding accuracies for Fast R-CNN, Bi-LSTM, CNN, and XGBoost were 85.10%, 87.21%, 90.14%, and 93.19%, respectively. Figure 9 and Table 9 present the computational time required by each method. The proposed ML-HQNC framework required 9.02 ms, whereas Fast R-CNN, Bi-LSTM, CNN, and XGBoost required 31.2 ms, 27.5 ms, 22.4 ms, and 17.6 ms, respectively. Figure 10 presents the receiver operating characteristic (ROC) analysis. The proposed ML-HQNC framework achieved an AUC of 0.944, indicating a high true-positive rate and a low false-positive rate across the evaluated classification threshold.

Figure 4: F1-score comparison across different dataset sizes. Comparison of the F1-score achieved by ML-HQNC and competing models across different dataset sizes. Results are reported as mean ± standard deviation over five independent experimental runs (n = 5). Error bars represent one standard deviation. Statistical significance was evaluated using a two-sided independent t-test (p < 0.05). Please click here to view a larger version of this figure.
Table 4: F1-score comparison across different dataset sizes. Comparison of the F1-score achieved by ML-HQNC and competing models. Results are reported as mean ± standard deviation over five independent experimental runs (n = 5). Please click here to download this Table.

Figure 5: Interest Detection Precision (IDP) comparison across different dataset sizes. Comparison of Interest Detection Precision (IDP) achieved by ML-HQNC and competing models across different dataset sizes. Results are reported as mean ± standard deviation over five independent experimental runs (n = 5). Error bars represent one standard deviation. Statistical significance was evaluated using a two-sided independent t-test (p < 0.05). Please click here to view a larger version of this figure.
Table 5: Interest Detection Precision (IDP) comparison across different dataset sizes. Comparison of Interest Detection Precision (IDP) achieved by ML-HQNC and competing models. Results are reported as mean ± standard deviation over five independent experimental runs (n = 5). Please click here to download this Table.

Figure 6: Quantum Pattern Stability Index (QPSI) comparison across different dataset sizes. Comparison of the Quantum Pattern Stability Index (QPSI) achieved by ML-HQNC and competing models across different dataset sizes. Results are reported as mean ± standard deviation over five independent experimental runs (n = 5). Error bars represent one standard deviation. Statistical significance was evaluated using a two-sided independent t-test (p < 0.05). Please click here to view a larger version of this figure.
Table 6: Quantum Pattern Stability Index (QPSI) comparison across different dataset sizes. Comparison of the Quantum Pattern Stability Index (QPSI) achieved by ML-HQNC and competing models. Results are reported as mean ± standard deviation over five independent experimental runs (n = 5). Please click here to download this Table.

Figure 7: Cross-Domain Adaptability Gain (CDAG) comparison across different dataset sizes. Comparison of the Cross-Domain Adaptability Gain (CDAG) achieved by ML-HQNC and competing models across different dataset sizes. Results are reported as mean ± standard deviation over five independent experimental runs (n = 5). Error bars represent one standard deviation. Statistical significance was evaluated using a two-sided independent t-test (p < 0.05). Please click here to view a larger version of this figure.
Table 7: Cross-Domain Adaptability Gain (CDAG) comparison across different dataset sizes. Comparison of the Cross-Domain Adaptability Gain (CDAG) achieved by ML-HQNC and competing models. Results are reported as mean ± standard deviation over five independent experimental runs (n = 5). Please click here to download this Table.

Figure 8: Classification accuracy comparison across different dataset sizes. Comparison of the classification accuracy achieved by ML-HQNC and competing models across different dataset sizes. Results are reported as mean ± standard deviation over five independent experimental runs (n = 5). Error bars represent one standard deviation. Statistical significance was evaluated using a two-sided independent t-test (p < 0.05). Please click here to view a larger version of this figure.
Table 8: Classification accuracy comparison across different dataset sizes. Comparison of the classification accuracy achieved by ML-HQNC and competing models. Results are reported as mean ± standard deviation over five independent experimental runs (n = 5). Please click here to download this Table.

Figure 9: Computational time comparison across different dataset sizes. Comparison of the computational execution time of ML-HQNC and competing models across different dataset sizes. Results are reported as mean ± standard deviation over five independent experimental runs (n = 5). Error bars represent one standard deviation. Lower values indicate shorter computational execution time. Statistical significance was evaluated using a two-sided independent t-test (p < 0.05). Please click here to view a larger version of this figure.
Table 9: Computational time comparison across different dataset sizes. Comparison of the computational execution time of ML-HQNC and competing models. Results are reported as mean ± standard deviation over five independent experimental runs (n = 5). Lower values indicate shorter computational execution time. Please click here to download this Table.

Figure 10: Area under the receiver operating characteristic curve (AUC) comparison. Comparison of the AUC achieved by ML-HQNC and competing models for engineering student interest identification. The reported AUC values correspond to a single experimental run; therefore, error bars and statistical significance analyses are not presented. Please click here to view a larger version of this figure.
Supplementary Figure 1 presents the correlation matrix of representative behavioral variables. Strong positive correlations were observed between Avg_Score and Course_Completion_Rate (0.81) and between Attendance_Rate and Course_Completion_Rate (0.75). Moderate correlations were observed between Avg_Score and Course_Completion (0.72) and between Attendance_Rate and Time_Assignment_Percentage (0.74). Supplementary Figures 2 and 3, together with Table 10, summarize the training and testing accuracy maps. The proposed ML-HQNC framework achieved a training accuracy of 96.1% and a testing accuracy of 93.8%, exceeding the performance of the comparison methods. Supplementary Figures 4 and 5, together with Table 11, summarize the convergence analysis. The proposed ML-HQNC framework achieved the lowest training loss (0.21) and testing loss (0.26), with stable convergence throughout the optimization process.
Table 12 summarizes the overall performance of the proposed ML-HQNC framework and the comparison methods across all evaluation metrics. The proposed framework achieved the highest performance for Accuracy, F1-score, AUC, IDP, QPSI, and CDAG while requiring the shortest computational time among the evaluated methods. Table 13 presents the component-wise ablation analysis of the proposed framework. Progressive incorporation of the BCRIS preprocessing stage, the QCSM behavioral representation, the QES-WOFS feature selection algorithm, and the complete ML-HQNC classifier yielded incremental improvements in classification performance, demonstrating each component's contribution to the overall framework.
Table 10: Training and testing accuracy comparison. Comparison of the training and testing accuracy achieved by ML-HQNC and competing models. The reported values correspond to a single experimental run. Please click here to download this Table.
Table 11: Training and testing loss comparison. Comparison of the training and testing loss achieved by ML-HQNC and competing models. The reported values correspond to a single experimental run. Please click here to download this Table.
Table 12: Overall performance comparison. Comparison of ML-HQNC and competing models using multiple evaluation metrics. Results are reported as mean ± standard deviation over five independent experimental runs (n = 5). Please click here to download this Table.
DATA AVAILABILITY:
The original Teaching Quality Evaluation Dataset used in this study is publicly available from the Kaggle repository (https://www.kaggle.com/datasets/ziya07/teaching-quality-evaluation-dataset). Access to the dataset may require user authentication and is subject to Kaggle's terms of use. To support reproducibility while complying with the licensing conditions of the original dataset, the study-generated resources—including the synthetic dataset, source code, implementation and configuration files, feature descriptions, preprocessing workflow, and supporting documentation required to reproduce the reported experiments—have been deposited in an openly accessible Zenodo repository: https://doi.org/10.5281/zenodo.21393413.

Figure 3: Teaching Quality Evaluation dataset feature collection. Structure and feature composition of the Teaching Quality Evaluation Dataset used for engineering student interest identification. Please click here to view a larger version of this figure.
Supplementary Figure 1: Feature correlation matrix. Correlation matrix showing pairwise relationships among representative educational and behavioral variables used by the proposed ML-HQNC framework. Please click here to download this file.
Supplementary Figure 2: Training accuracy comparison. Comparison of training accuracy achieved by ML-HQNC and competing models over the training process. Please click here to download this file.
Supplementary Figure 3: Testing accuracy comparison. Comparison of testing accuracy achieved by ML-HQNC and competing models over the testing process. Please click here to download this file.
Supplementary Figure 4: Training loss analysis. Comparison of training loss achieved by ML-HQNC and competing models during model optimization. Please click here to download this file.
Supplementary Figure 5: Testing loss analysis. Comparison of testing loss achieved by ML-HQNC and competing models during model evaluation. Please click here to download this file.
Supplementary Table 1: Simulation parameters and experimental settings. Summary of the simulation parameters, implementation environment, dataset partitioning, and experimental settings used to evaluate the proposed ML-HQNC framework. Please click here to download this file.
Supplementary Table 2: Validation results of the Box–Cox Robust IQR Scaling (BCRIS) preprocessing stage. Comparison of representative dataset characteristics before and after preprocessing, including missing values, duplicate records, outlier handling, feature normalization, and data consistency. Please click here to download this file.
Supplementary Table 3: Representative features generated by the Quantum Cognitive State Model (QCSM). Representative behavioral features generated by the QCSM following data preprocessing, including cognitive state, engagement, uncertainty, topic transition, and behavioral consistency features. Please click here to download this file.
Supplementary Table 4: Features selected by the Quantum-Enhanced Swarm–Whale Optimization Feature Selection (QES-WOFS) algorithm. Final feature subset selected by the QES-WOFS algorithm, together with the corresponding feature categories, relative influence levels, and functional roles within the proposed framework. Please click here to download this file.
Supplementary Table 5: Teaching quality prediction categories. Description of the prediction categories and representative behavioral characteristics used by the proposed ML-HQNC framework. Please click here to download this file.
Supplementary Table 6: Margin sensitivity analysis. Summary of the margin sensitivity analysis used during model evaluation. Please click here to download this file.
Supplementary File 1: Supplementary Methods, Mathematical Formulations, Evaluation Metrics, and Supplementary Tables. This file contains detailed mathematical formulations for the Box–Cox Robust IQR Scaling (BCRIS), Quantum Cognitive State Model (QCSM), Quantum-Enhanced Swarm–Whale Optimization Feature Selection (QES-WOFS), and Meta-Learning Hybrid Quantum-Classical Neural Classifier (ML-HQNC) described in the main protocol. It also includes definitions of the evaluation metrics, simulation parameters, experimental settings, and Supplementary Tables S1–S6 supporting the results presented in the main manuscript. Please click here to download this file.