@article{stochasticseparabilityofembeddingmanifol,
  title = {Stochastic Separability of Embedding Manifolds},
  author = {Liqing Zhang},
  year = {2026},
  eprint = {2608.22874},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.22874},
}