Submitted:
16 August 2025
Posted:
18 August 2025
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Abstract
Keywords:
1. Introduction
- Integration of quantum-enhanced feature selection and variational quantum classification into a unified diagnostic framework for asthma.
- Comprehensive evaluation of the proposed method on a real-world, ultra-high-dimensional biomedical dataset.
- Empirical demonstration that aggressive dimensionality reduction (over 99%) can be achieved without significant loss in predictive accuracy, underscoring the practical viability of QML-based clinical decision support systems.
2. Literature Review
2.1. Machine Learning for Asthma Diagnosis
2.2. Quantum Computing in Machine Learning
2.3. Quantum Feature Selection
2.4. Quantum Computing in Healthcare
3. Methodology
3.1. Data Preprocessing
- (1)
- Missing Value Imputation: Missing values in numerical features are replaced with the median of the observed values, thereby mitigating the influence of outliers. Missing values in categorical features are imputed with the statistical mode to preserve categorical distributions.
- (2)
- Categorical Encoding: All categorical attributes are transformed using one-hot encoding, expanding the feature set from a few dozen attributes to 14,393 binary indicators and numerical features combined.
- (3)
- Feature Scaling: Numerical features are standardized to zero mean and unit variance using:where and denote the mean and standard deviation, respectively, of the j-th feature across the training dataset. This scaling ensures that all features contribute comparably to the optimization process and avoids bias in quantum embedding amplitudes.
3.2. Quantum Feature Selection
- is the validation accuracy obtained using the feature subset specified by z;
- is the norm, which counts the number of selected features;
- are hyperparameters controlling the trade-off between accuracy maximization and sparsity promotion.
3.3. Quantum State Preparation
3.4. Variational Quantum Classification
3.5. Hybrid Optimization
3.6. Algorithmic Flow Summary
- (1)
- Input: Asthma Disease Dataset D.
- (2)
- Data Preprocessing: Impute missing values, apply one-hot encoding, and standardize numerical variables.
- (3)
- Quantum Feature Selection: Map the selection problem to an Ising Hamiltonian and solve using QAOA to obtain (Figure 2).
- (4)
- State Preparation: Encode selected features into quantum states via angle embedding.
- (5)
- VQC Classification: Apply the variational quantum circuit to embedded states and measure outcomes (Figure 3).
- (6)
- Hybrid Optimization: Update circuit parameters by minimizing the cross-entropy loss via the parameter-shift rule.
- (7)
- Prediction: Classify unseen samples using the optimized VQC; the full process is summarized in Figure 1.
4. Results
4.1. Experimental Setup
4.2. Feature Selection Results
4.3. Evaluation Metrics
4.4. Classification Performance
4.5. Confusion Matrix Analysis
4.6. ROC and Precision–Recall Curves
4.7. Learning Dynamics
4.8. Discussion
- Reduced model complexity by eliminating 99.92% of features.
- Improved generalization ability due to reduced variance.
- Enhanced expressivity of the decision boundary through variational quantum layers.
5. Limitations
6. Future Directions
7. Conclusions
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| Feature Name | Selection Frequency (%) |
|---|---|
| FEV1/FVC Ratio | 96.5 |
| Peak Expiratory Flow | 94.8 |
| PM2.5 Exposure Level | 93.2 |
| IgE Concentration | 91.7 |
| Family History of Asthma | 89.3 |
| Nocturnal Wheeze Indicator | 88.5 |
| Model | Accuracy (%) | Precision | Recall | F1 |
|---|---|---|---|---|
| SVM (RBF) | 94.7 | 0.945 | 0.948 | 0.946 |
| Random Forest | 96.1 | 0.962 | 0.958 | 0.960 |
| MLP (3 layers) | 96.8 | 0.968 | 0.966 | 0.967 |
| Proposed QFS+VQC | 98.4 | 0.985 | 0.982 | 0.983 |
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