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CHDS: a boundary-oriented oversampling method for imbalanced data based on convex hull and Delaunay triangulation.
Chenlu Zheng1, Zixiang Zhu2, Jialin Liu3,4,5
1Public Administration Department, Fujian Police College, Fuzhou, 350007, China.
Class imbalance hinders machine learning model performance. Convex Hull Delaunay Sampling (CHDS) is a novel oversampling method that effectively generates synthetic minority data, improving classification accuracy for imbalanced datasets.
Area of Science:
- Machine Learning
- Data Science
- Artificial Intelligence
Background:
- Class imbalance is a common problem in machine learning.
- It causes biased models that perform poorly on minority classes.
- Existing methods struggle to effectively address this challenge.
Purpose of the Study:
- To introduce a novel oversampling framework called Convex Hull Delaunay Sampling (CHDS).
- To improve minority class classification accuracy in imbalanced datasets.
- To provide a reliable data-level solution for risk-sensitive applications.
Main Methods:
- CHDS identifies boundary minority samples using local neighborhood entropy.
- It constructs convex hulls and uses Delaunay Triangulation for safe region selection.
- Synthetic samples are generated within these regions using a Dirichlet distribution strategy.
Main Results:
- CHDS significantly outperformed 15 other resampling methods across 28 imbalanced datasets.
- Performance improvements were observed in AUC, F1-score, G-mean, and Recall.
- Ablation studies confirmed the effectiveness of each component of the CHDS framework.
Conclusions:
- CHDS offers a robust data-level solution for class imbalance problems.
- The framework enhances decision-making reliability in critical applications.
- It effectively models the minority class distribution for improved synthetic data generation.
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