# A note on the K-epigraph

arXiv: https://arxiv.org/abs/2107.00117 · HTML: https://mlsanity.com/paper/2107.00117/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 30 Jun 2021.

## Built on by (most cited first, 1 of 1)

- [The Geometry and Calculus of Losses](https://mlsanity.com/paper/2209.00238/) (2022)

## Abstract (arXiv)

We study the question as to when the closed convex hull of a K-convex map equals its K-epigraph. In particular, we shed light onto the smallest cone K such that a given map has convex and closed K-epigraph, respectively. We apply our findings to several examples in matrix space as well as to convex composite functions.