Unverified
2026
Log-Finite-Part Polynomial Interaction Kernel
Replace a singular inverse interaction kernel by the finite part of its meromorphic continuation at an exceptional dimension, producing an explicit polynomial-times-logarithm feature interaction. This gives a controlled alternative to adding an arbitrary ridge term when a learned polynomial Gram matrix becomes rank-deficient.
Paper: Exceptional supersphere integration and logarithmic Pizzetti kernels
arXiv:2607.21241