Unverified
2026
Elliptic Low-Oscillation Feature Layer
Construct a spatially varying diffusion layer whose coefficient matrix is explicitly uniformly elliptic and whose local mean oscillation is penalized. Use it inside an implicit residual block, so the learned operator remains a controlled perturbation of a constant-coefficient elliptic operator rather than becoming an unstable collection of unrelated local filters.
Paper: Regularity for Elliptic Equations with Coefficients of Small Mean Oscillation
arXiv:2608.10813