@article{physicsconsistentneuralnetworksforlearni,
  title = {Physics-Consistent Neural Networks for Learning Deformation and Director Fields in Microstructured Media with Loss-Based Validation Criteria},
  author = {Milad Shirani and Pete H. Gueldner and Murat Khidoyatov and Jeremy L. Warren and Federica Ninno},
  year = {2026},
  eprint = {2603.06939},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2603.06939},
}