The Topological "Shape" of Brexit. Stolz, B. J., Harrington, H. A., & Porter, M. A. Paper abstract bibtex Persistent homology is a method from computational algebraic topology that can be used to study the "shape" of data. We illustrate two filtrations –- the weight rank clique filtration and the Vietoris–Rips (VR) filtration –- that are commonly used in persistent homology, and we apply these filtrations to a pair of data sets that are both related to the 2016 European Union "Brexit" referendum in the United Kingdom. These examples consider a topical situation and give useful illustrations of the strengths and weaknesses of these methods.

@article{stolzTopologicalShapeBrexit2016,
archivePrefix = {arXiv},
eprinttype = {arxiv},
eprint = {1610.00752},
primaryClass = {physics},
title = {The {{Topological}} "{{Shape}}" of {{Brexit}}},
url = {http://arxiv.org/abs/1610.00752},
abstract = {Persistent homology is a method from computational algebraic topology that can be used to study the "shape" of data. We illustrate two filtrations --- the weight rank clique filtration and the Vietoris--Rips (VR) filtration --- that are commonly used in persistent homology, and we apply these filtrations to a pair of data sets that are both related to the 2016 European Union "Brexit" referendum in the United Kingdom. These examples consider a topical situation and give useful illustrations of the strengths and weaknesses of these methods.},
urldate = {2018-01-18},
date = {2016-09-15},
keywords = {Computer Science - Computational Geometry,Mathematics - Algebraic Topology,Physics - Physics and Society},
author = {Stolz, Bernadette J. and Harrington, Heather A. and Porter, Mason A.},
file = {/home/dimitri/Nextcloud/Zotero/storage/9MIPK9ZY/Stolz et al. - 2016 - The Topological Shape of Brexit.pdf;/home/dimitri/Nextcloud/Zotero/storage/EGR5HLE4/1610.html}
}

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