Math: Inequalities

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

Unverified 2026

Dimension-aware power-mean fusion

Use the paper's dimension-dependent exponent transformation to fuse nonnegative outputs from several branches. Instead of selecting an arbitrary generalized-mean exponent, choose the output exponent q=Q_d(p) induced by an input exponent p, making the fusion rule explicitly sensitive to the dimension of the barycentric variables.

Useful5/10
Difficulty3/10
Novelty5/10
Paper: Borell--Brascamp--Lieb inequality with finitely many output functions arXiv:2608.23963