Math: Robust statistics

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

✓✓ Beats tuned baseline 2026

Displacement-Huber distribution pooling

Replace ordinary Wasserstein or arithmetic pooling of distribution-valued features with a barycenter whose individual quantile displacements are Huberized. Small changes between input distributions remain averaged quadratically, while a corrupted token, expert, graph neighborhood, or augmentation cannot move the pooled distribution arbitrarily far. The module is especially cheap for one-dimensional distributions represented by fixed quantile vectors.

Useful7/10
Difficulty4/10
Novelty7/10
Paper: Huber-Wasserstein barycenters for robust distribution-valued data arXiv:2608.13131