@article{dimensionalityreductionandwidthofdeepneu,
  title = {Dimensionality reduction and width of deep neural networks based on topological degree theory},
  author = {Xiao-Song Yang},
  year = {2025},
  eprint = {2511.06821},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2511.06821},
}