English

Connecting Sphere Manifolds Hierarchically for Regularization

Computer Vision and Pattern Recognition 2021-06-28 v1 Machine Learning

Abstract

This paper considers classification problems with hierarchically organized classes. We force the classifier (hyperplane) of each class to belong to a sphere manifold, whose center is the classifier of its super-class. Then, individual sphere manifolds are connected based on their hierarchical relations. Our technique replaces the last layer of a neural network by combining a spherical fully-connected layer with a hierarchical layer. This regularization is shown to improve the performance of widely used deep neural network architectures (ResNet and DenseNet) on publicly available datasets (CIFAR100, CUB200, Stanford dogs, Stanford cars, and Tiny-ImageNet).

Keywords

Cite

@article{arxiv.2106.13549,
  title  = {Connecting Sphere Manifolds Hierarchically for Regularization},
  author = {Damien Scieur and Youngsung Kim},
  journal= {arXiv preprint arXiv:2106.13549},
  year   = {2021}
}
R2 v1 2026-06-24T03:35:41.598Z