Efficient physics-informed learning with built-in uncertainty awareness

Pietro Zanotta; Juha Riippi; Alexandre Halbach; Valtteri Lahtinen; Asser Lähdemäki; Andrew Tweedie
Technical contributors Dr. Ljubomir Budinsky, Dr. Çaǧlar Aytekin, Dr. Valtteri Lahtinen Key takeaways - Physics-Informed Neural Networks offer a flexible way to solve PDEs, but scalability remains a challenge - Separable PINNs reduce the dimensionality burden, yet dense matrix operations still dominate cost - Quantum Orthogonal SPINNs use quantum circuits as orthogonal quantum layers in the networks to address this bottleneck - Orthogonality improves stability, regularization, and allows for...