@article{randomnessandsignalpropagationinphysicsi, title = {Randomness and signal propagation in physics-informed neural networks (PINNs): A neural PDE perspective}, author = {Jean-Michel Tucny and Abhisek Ganguly and Santosh Ansumali and Sauro Succi}, year = {2025}, eprint = {2509.18131}, archivePrefix = {arXiv}, url = {https://arxiv.org/abs/2509.18131}, }