Submitted:
14 July 2026
Posted:
21 July 2026
You are already at the latest version
Abstract
Keywords:
1. Introduction
2. Materials and Methods
2.1. Study Population and Data acquisition
2.2. Data Preparation
2.3. Dataset Splitting and Augmentation
2.4. YOLOv8 and YOLOv11 Architectures and Training Details
2.5. Training Procedures
2.6. Model Explainability Analysis
2.7. Colical Experts Protocol
2.8. Performance Metrics
- Accuracy (ACC) is defined as the ratio of correct predictions to the total predictions made, as illustrated in Equation (1).
- Precision (P) assess the ratio of true positives in all positive predictions, computed using Equations (2).
- Sensitivity (S) determines the ratio of true positives in all actual positives. S measures the model’s effectiveness in identifying all instances of a class, as illustrated in Equation (3).
- Specificity (Sp) calculates the ratio of true negatives in all negative predictions, as shown in Equation (4).
- The F1 score represents the harmonic mean of P and S, providing a balanced evaluation of the model’s accuracy by taking into account false positives and negatives, as demonstrated in Equation (5).
- The receiver operating characteristic (ROC) curve is a graphical representation of a classification model’s performance across all classification thresholds. It shows the trade-off between the true positive rate (TPR) and the false positive rate (FPR). TPR is also known as recall or sensitivity (Equation (3)). The FPR is the ratio of incorrectly identified negative instances to the total actual negative instances, illustrated in Equation (6). As the classification changes, both the TPR and FPR change, and plotting them forms the ROC curve and the corresponding area under the curve (AUC), computed from the continuous probability outputs of the deep learning models.
2.9. Statistical Analysis
3. Results
3.1. Internal Validation
3.2. Statistical Comparison Between YOLOv8 and YOLOv11
3.3. Intra-Family Model Comparisons
3.4. Independent Testing Phase
3.5. Grad-CAM Activation Maps Interpretation
3.6. Comparison with Expert Ophthalmologists
4. Discussion
4.1. Strenght and Limitations
5. Conclusions
Supplementary Materials
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
Abbreviations
| AI | Artificial Intelligence |
| DL | Deep Learning |
| YOLO | You Only Look Once |
| PNG | Portable Network Graphics |
| RGB | Red Green Blue colour space |
| SER | Spherical Equivalent Refraction |
| CYL | Cylindrical power |
| D | Dioptre |
| IMI | International Myopia Institute |
| CSP | Cross Stage Partial |
| Grad-CAM | Gradient Weighted Class Activation Mapping |
| ACC | Accuracy |
| P | Precision |
| S | Sensitivity |
| Sp | Specificity |
| ROC | Receiver Operating Characteristic curve |
| AUC | Area Under the Curve |
| TPR | True Positive Rate |
| FPR | False Positive Rate |
| TP | True Positive |
| TN | True Negative |
| FP | False Positive |
| FN | False Negative |
| MCC | Matthew Correlation Coefficient |
| NPV | Negative Predictive Value |
| CIs | Confidence Intervals |
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| Model | Accuracy | Sensitivity | Specificity | Precision | NPV | F1-score | MCC |
|---|---|---|---|---|---|---|---|
| YOLOv11-l | 0.812 (0.738–0.875) | 0.934 (0.867–0.983) | 0.446 (0.250–0.650) | 0.836 (0.784–0.892) | 0.698 (0.455–0.917) | 0.882 (0.833–0.923) | 0.448 (0.192–0.667) |
| YOLOv11-m | 0.787 (0.700–0.863) | 0.899 (0.817–0.967) | 0.451 (0.250–0.700) | 0.832 (0.778–0.893) | 0.605 (0.385–0.833) | 0.864 (0.809–0.913) | 0.390 (0.144–0.617) |
| YOLOv11-n | 0.863 (0.788–0.938) | 0.918 (0.850–0.983) | 0.699 (0.500–0.900) | 0.902 (0.841–0.963) | 0.745 (0.577–0.929) | 0.909 (0.860–0.958) | 0.631 (0.420–0.829) |
| YOLOv11-s | 0.799 (0.725–0.875) | 0.916 (0.833–0.983) | 0.450 (0.250–0.650) | 0.834 (0.783–0.889) | 0.647 (0.429–0.889) | 0.872 (0.820–0.919) | 0.417 (0.189–0.646) |
| YOLOv11-xl | 0.763 (0.750–0.788) | 1.000 (1.000–1.000) | 0.050 (0.000–0.150) | 0.760 (0.750–0.779) | 0.000 (0.000–0.000) | 0.863 (0.857–0.876) | 0.000 (0.000–0.000) |
| YOLOv8-l | 0.813 (0.738–0.888) | 0.884 (0.800–0.950) | 0.601 (0.400–0.800) | 0.870 (0.812–0.932) | 0.639 (0.471–0.833) | 0.876 (0.821–0.927) | 0.496 (0.267–0.705) |
| YOLOv8-m | 0.849 (0.775–0.925) | 0.916 (0.833–0.983) | 0.649 (0.450–0.850) | 0.888 (0.831–0.948) | 0.727 (0.545–0.917) | 0.901 (0.847–0.949) | 0.588 (0.372–0.794) |
| YOLOv8-n | 0.850 (0.763–0.925) | 0.882 (0.800–0.950) | 0.751 (0.550–0.950) | 0.915 (0.855–0.980) | 0.686 (0.524–0.857) | 0.898 (0.838–0.949) | 0.617 (0.420–0.800) |
| YOLOv8-s | 0.825 (0.750–0.900) | 0.933 (0.867–0.983) | 0.503 (0.300–0.700) | 0.850 (0.794–0.906) | 0.720 (0.500–0.929) | 0.889 (0.841–0.935) | 0.497 (0.243–0.722) |
| YOLOv8-xl | 0.875 (0.813–0.938) | 0.983 (0.950–1.000) | 0.550 (0.350–0.750) | 0.868 (0.814–0.923) | 0.919 (0.733–1.000) | 0.922 (0.885–0.959) | 0.646 (0.434–0.829) |
| Metric | Scale | Mean difference (YOLOv8 − YOLOv11) | Adjusted p-value | Significant |
|---|---|---|---|---|
| Sensitivity | n | 0.034 (0.000–0.083) | 1.572 | No |
| Sensitivity | s | −0.016 (−0.050–0.000) | 2.205 | No |
| Sensitivity | m | −0.016 (−0.050–0.000) | 1.484 | No |
| Sensitivity | l | 0.050 (0.000–0.117) | 0.752 | No |
| Sensitivity | xl | 0.016 (0.000–0.050) | 2.936 | No |
| MCC | n | 0.014 (−0.091–0.115) | 0.827 | No |
| MCC | s | −0.076 (−0.200–0.000) | 1.715 | No |
| MCC | m | −0.198 (−0.366–−0.046) | 0.063 | No |
| MCC | l | −0.043 (−0.223–0.112) | 3.125 | No |
| MCC | xl | — | 0.000 | Yes* |
| Model | Accuracy | Sensitivity | Specificity | Precision | NPV | F1 | MCC | AUC |
|---|---|---|---|---|---|---|---|---|
| YOLOv11-n | 0.840 (0.740 - 0.920) | 0.829 (0.694 - 0.941) | 0.867 (0.667 - 1.000) | 0.935 (0.833 - 1.000) | 0.684 (0.455 - 0.867) | 0.879 (0.784 - 0.946) | 0.656 (0.429 - 0.840) | 0.889 (0.792 - 0.961) |
| YOLOv11-s | 0.800 (0.680 - 0.900) | 0.971 (0.903 - 1.000) | 0.400 (0.154 - 0.647) | 0.791 (0.667 - 0.907) | 0.857 (0.500 - 1.000) | 0.872 (0.785 - 0.943) | 0.491 (0.202 - 0.719) | 0.753 (0.573 - 0.901) |
| YOLOv11-m | 0.780 (0.660 - 0.880) | 0.943 (0.857 - 1.000) | 0.400 (0.154 - 0.667) | 0.786 (0.652 - 0.900) | 0.75 (0.400 - 1.000) | 0.857 (0.765 - 0.929) | 0.429 (0.113 - 0.695) | 0.852 (0.722 - 0.959) |
| YOLOv11-l | 0.760 (0.640 - 0.860) | 0.943 (0.853 - 1.000) | 0.333 (0.105 - 0.579) | 0.767 (0.628 - 0.886) | 0.714 (0.333 - 1.000) | 0.846 (0.747 - 0.921) | 0.365 (0.054 - 0.626) | 0.709 (0.530 - 0.865) |
| YOLOv11-xl | 0.700 (0.560 - 0.820) | 1.000 (1.000 - 1.000) | 0.000 (0.000 - 0.000) | 0.700 (0.560 - 0.820) | 0.000 (0.000 - 0.000) | 0.824 (0.718 - 0.901) | 0.000 (0.000 - 0.000) | 0.600 (0.442 - 0.759) |
| YOLOv8-n | 0.840 (0.740 - 0.940) | 0.943 (0.853 - 1.000) | 0.600 (0.333 - 0.857) | 0.846 (0.730 - 0.949) | 0.818 (0.571 - 1.000) | 0.892 (0.806 - 0.960) | 0.601 (0.335 - 0.832) | 0.86 (0.725 - 0.969) |
| YOLOv8-s | 0.760 (0.640 - 0.880) | 0.829 (0.697 - 0.941) | 0.600 (0.333 - 0.846) | 0.829 (0.692 - 0.943) | 0.600 (0.333 - 0.833) | 0.829 (0.716 - 0.914) | 0.429 (0.134 - 0.693) | 0.778 (0.620 - 0.912) |
| YOLOv8-m | 0.800 (0.680 - 0.900) | 0.829 (0.687 - 0.946) | 0.733 (0.500 - 0.938) | 0.879 (0.750 - 0.972) | 0.647 (0.400 - 0.882) | 0.853 (0.746 - 0.935) | 0.544 (0.274 - 0.783) | 0.806 (0.653 - 0.941) |
| YOLOv8-l | 0.760 (0.640 - 0.880) | 0.857 (0.735 - 0.970) | 0.533 (0.273 - 0.800) | 0.811 (0.683 - 0.925) | 0.615 (0.333 - 0.889) | 0.833 (0.727 - 0.917) | 0.408 (0.099 - 0.669) | 0.826 (0.700 - 0.926) |
| YOLOv8-xl | 0.760 (0.640 - 0.880) | 1.000 (1.000 - 1.000) | 0.200 (0.000 - 0.429) | 0.745 (0.622 - 0.861) | 1.000 (0.000 - 1.000) | 0.854 (0.767 - 0.925) | 0.386 (0.000 - 0.593) | 0.827 (0.694 - 0.940) |
| Comparison | b | c | McNemar | p-value |
|---|---|---|---|---|
| YOLOv8-n vs Consensus | 9 | 10 | 9.0 | 1.000 |
| YOLOv11-s vs Consensus | 0 | 35 | 0.0 | <0.001 |
| Method | Sensitivity | Specificity | Precision | F1-score | MCC | AUC |
|---|---|---|---|---|---|---|
| YOLOv8-n | 0.943 | 0.600 | 0.846 | 0.892 | 0.600 | 0.860 |
| YOLOv11-s | 0.972 | 0.400 | 0.791 | 0.872 | 0.491 | 0.753 |
| Clinical consensus | 0.657 | 0.800 | 0.885 | 0.754 | 0.420 | 0.832 |
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