Math: Regularization

Machine-learning ideas tagged Regularization in the Math taxonomy of the Math2NN corpus.

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.

Useful5/10
Difficulty6/10
Novelty8/10
Paper: Regularity for Elliptic Equations with Coefficients of Small Mean Oscillation arXiv:2608.10813