@article{stochasticdimensionfreezerothorderestima,
  title = {Stochastic Dimension-Free Zeroth-Order Estimator for High-Dimensional and High-Order PINNs},
  author = {Zhangyong Liang and Huanhuan Gao},
  year = {2026},
  eprint = {2603.24002},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2603.24002},
}