---
title: Optimization Over Zonotopes and Training Support Vector Machines
url: https://www.emergentmind.com/papers/0105017
type: paper
arxiv_id: '0105017'
arxiv_url: https://arxiv.org/abs/0105017
published: '2001-05-08'
categories:
- cs.CG
- cs.AI
---

# Optimization Over Zonotopes and Training Support Vector Machines

## Abstract

We make a connection between classical polytopes called zonotopes and Support Vector Machine (SVM) classifiers. We combine this connection with the ellipsoid method to give some new theoretical results on training SVMs. We also describe some special properties of soft margin C-SVMs as parameter C goes to infinity.