Exact SO(3)-Equivariant Isotropic Kernels for Rotation-Robust Neural Dynamics
The Invariant-Conditioned Isotropic Kernel Neural Operator (IKNO) is a compact model designed for three-dimensional Navier–Stokes dynamics. It removes coordinate dependence by using scalar rotation invariants to define local interactions, achieving exact SO(3)-equivariance. IKNO outperforms other methods by matching a large tensor field network with significantly fewer parameters while maintaining high forecasting accuracy.