Definition
Plain language
A neural network trained to satisfy a physics equation as well as fit data.
As stated in the literature
Physics-Informed Neural Network, a model trained with a loss that penalizes residuals of known differential equations in addition to data-fitting terms.
Also called: PINNs, spectral PINN
Why it matters: It lets you solve and discover physics equations with neural networks even when data is scarce, by treating the equation itself as supervision.
For example, a PINN learns the temperature field in a metal rod by fitting a few measurements while also minimizing the residual of the heat equation.
Heard on the show
“… But I do want to set up the spectral PINN result before we go further into the critique, because the spectral result is the place where …”Episode 042 — An Agentic Scientific Computing System That Actually Remembers What It Learns