Math: Robust statistics

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

Unverified 2026

Quantile-space Huber-Wasserstein loss

For models that predict probability distributions, replace the usual Wasserstein-2 loss or a Huber penalty on the final Wasserstein distance with a Huber penalty on quantile-by-quantile prediction errors. This suppresses gradients from localized outliers while retaining quadratic gradients on the majority of the distribution, which is useful for uncertainty prediction, histogram prediction, and distributional distillation.

Useful6/10
Difficulty3/10
Novelty5/10
Paper: Huber-Wasserstein barycenters for robust distribution-valued data arXiv:2608.13131