@article{hilbertoperatorforprogressiveencodinghop,
  title = {Hilbert Operator for Progressive Encoding (HOPE): A Mathematical Framework for Deconstructing Learned Representations in Deep Networks},
  author = {Hossein Mobahi and Peter L. Bartlett},
  year = {2026},
  eprint = {2607.21366},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2607.21366},
}