# Discrepancy theory, Tverberg's theorem, and regression depth

Authors: Aleksey Lopez; Pablo Soberón
Year: 2026
Status: preprint
Paper page: https://www.psoberon.com/papers/discrepancy-tverberg-regression/
arXiv: https://arxiv.org/abs/2609.24775

Topics: Tverberg theory; Discrepancy & tolerance
Student coauthors: Aleksey Lopez

## Overview

Discrepancy-theoretic bounds for Tverberg partitions with tolerance, for point sets and for regression hulls of hyperplanes.