LGAIIRMar 13, 2025

GBSVR: Granular Ball Support Vector Regression

arXiv:2503.10539v11 citationsh-index: 14
Originality Incremental advance
AI Analysis

This work addresses regression tasks for machine learning practitioners by offering a more efficient and robust method, though it appears incremental as it builds on existing granular ball concepts.

The authors tackled the computational cost and outlier sensitivity of Support Vector Regression (SVR) by proposing Granular Ball Support Vector Regression (GBSVR), which groups data points into granular balls to reduce complexity and improve performance, achieving superior results on benchmark datasets compared to state-of-the-art methods.

Support Vector Regression (SVR) and its variants are widely used to handle regression tasks, however, since their solution involves solving an expensive quadratic programming problem, it limits its application, especially when dealing with large datasets. Additionally, SVR uses an epsilon-insensitive loss function which is sensitive to outliers and therefore can adversely affect its performance. We propose Granular Ball Support Vector Regression (GBSVR) to tackle problem of regression by using granular ball concept. These balls are useful in simplifying complex data spaces for machine learning tasks, however, to the best of our knowledge, they have not been sufficiently explored for regression problems. Granular balls group the data points into balls based on their proximity and reduce the computational cost in SVR by replacing the large number of data points with far fewer granular balls. This work also suggests a discretization method for continuous-valued attributes to facilitate the construction of granular balls. The effectiveness of the proposed approach is evaluated on several benchmark datasets and it outperforms existing state-of-the-art approaches

Foundations

The foundational work for this paper's niche, ranked by how specifically the neighbourhood builds on it — not by global fame.

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