2026
Spectral-Informed Neural Networks Outperform Spectral methods in High-dimensional PDEs
ICML 2026spotlight
For low-dimensional problems ($d\leq3$), spectral methods can achieve exceptionally high accuracy. For middle-dimensional problems ($4 \leq d \lesssim 10$), spectral methods remain feasible through specific techniques such as sparse grids or hyperbolic cross. However, for high-dimensional problems (…