@article{whendocomplexvaluedneuralnetworkshelpast,
  title = {When do complex-valued neural networks help? A study of representation, geometry, and optimization},
  author = {Ashutosh Kumar},
  year = {2026},
  eprint = {2605.27673},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2605.27673},
}