@article{theliewetellcorrectingtheeuclideanfallac,
  title = {The Lie We Tell: Correcting the Euclidean Fallacy in Vision Language Action Policies via Score Matching on Tangent Space},
  author = {Bing-Cheng Chuang and I-Hsuan Chu and Bor-Jiun Lin and YuanFu Yang and Min Sun and Chun-Yi Lee},
  year = {2026},
  eprint = {2606.01847},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2606.01847},
}