Math: Special functions

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

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.

Useful5/10
Difficulty5/10
Novelty8/10
Paper: Exceptional supersphere integration and logarithmic Pizzetti kernels arXiv:2607.21241