English

The Fixed Sub-Center: A Better Way to Capture Data Complexity

Computer Vision and Pattern Recognition 2022-05-24 v2

Abstract

Treating class with a single center may hardly capture data distribution complexities. Using multiple sub-centers is an alternative way to address this problem. However, highly correlated sub-classes, the classifier's parameters grow linearly with the number of classes, and lack of intra-class compactness are three typical issues that need to be addressed in existing multi-subclass methods. To this end, we propose to use Fixed Sub-Center (F-SC), which allows the model to create more discrepant sub-centers while saving memory and cutting computational costs considerably. The F-SC specifically, first samples a class center Ui for each class from a uniform distribution, and then generates a normal distribution for each class, where the mean is equal to Ui. Finally, the sub-centers are sampled based on the normal distribution corresponding to each class, and the sub-centers are fixed during the training process avoiding the overhead of gradient calculation. Moreover, F-SC penalizes the Euclidean distance between the samples and their corresponding sub-centers, it helps remain intra-compactness. The experimental results show that F-SC significantly improves the accuracy of both image classification and fine-grained recognition tasks.

Keywords

Cite

@article{arxiv.2203.12928,
  title  = {The Fixed Sub-Center: A Better Way to Capture Data Complexity},
  author = {Zhemin Zhang and Xun Gong},
  journal= {arXiv preprint arXiv:2203.12928},
  year   = {2022}
}
R2 v1 2026-06-24T10:24:24.563Z