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Bidirectional Weighted Cross-Entropy for Imbalanced Pressure Injury Classification
Jong Chan Yeom1, Eun Jin Han2, Ah Young Kim2
1Department of Bio-Health Medical Engineering, Gachon University Gil Medical Center, Incheon, Republic of Korea.
Journal of Imaging Informatics in Medicine
|August 7, 2026
Summary
Bidirectional weighted cross-entropy (BWCE) improves pressure injury classification by reducing costly misclassifications. This new method offers a direction-aware approach to handle imbalanced clinical image datasets effectively.
Area of Science:
- Medical Imaging
- Computer Vision
- Machine Learning
Background:
- Accurate pressure injury classification from clinical images is difficult due to small, imbalanced datasets.
- Existing methods struggle with the nuances of misclassification costs in imbalanced data.
Purpose of the Study:
- To introduce Bidirectional Weighted Cross-Entropy (BWCE), a novel loss function for imbalanced image classification.
- To evaluate BWCE's effectiveness in reducing clinically undesirable misclassifications, particularly minority-to-majority errors.
Main Methods:
- Developed BWCE, a cost-sensitive loss function incorporating true-label and predicted class weights for misclassified samples.
- Evaluated BWCE on 853 pressure injury images using 3x10 repeated stratified cross-validation.
- Compared BWCE against standard loss functions (CE, Focal Loss) and other imbalance-aware methods (CB-CE, LDAM).
Main Results:
- BWCE-log demonstrated competitive performance in recall, F1-score, and AUC, improving recall over standard Cross-Entropy (CE).
- BWCE-log significantly reduced minority-to-majority misclassifications compared to CE and Focal Loss.
- While BWCE showed promise, other methods like CB-CE and LDAM excelled in specific minority-focused metrics.
Conclusions:
- BWCE presents a valuable direction-aware, cost-sensitive alternative for addressing class imbalance in medical image classification.
- The findings suggest BWCE is effective for modeling specific error directions at the loss-design level.
- BWCE is a complementary approach rather than a universally superior replacement for existing imbalance-aware objectives.