@article{sobolevgradientascentforoptimaltransport,
  title = {Sobolev Gradient Ascent for Optimal Transport: Barycenter Optimization and Convergence Analysis},
  author = {Kaheon Kim and Bohan Zhou and Changbo Zhu and Xiaohui Chen},
  year = {2025},
  eprint = {2505.13660},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2505.13660v1},
}