---
OA_place: repository
OA_type: green
_id: '18999'
abstract:
- lang: eng
  text: Exploring the shape of point configurations has been a key driver in the evolution
    of TDA (short for topological data analysis) since its infancy. This survey illustrates
    the recent efforts to broaden these ideas to model spatial interactions among
    multiple configurations, each distinguished by a color. It describes advances
    in this area and prepares the ground for further exploration by mentioning unresolved
    questions and promising research avenues while focusing on the overlap with discrete
    geometry.
article_number: '2406.04102'
article_processing_charge: No
arxiv: 1
author:
- first_name: Sebastiano
  full_name: Cultrera di Montesano, Sebastiano
  id: 34D2A09C-F248-11E8-B48F-1D18A9856A87
  last_name: Cultrera di Montesano
  orcid: 0000-0001-6249-0832
- first_name: Ondrej
  full_name: Draganov, Ondrej
  id: 2B23F01E-F248-11E8-B48F-1D18A9856A87
  last_name: Draganov
  orcid: 0000-0003-0464-3823
- first_name: Herbert
  full_name: Edelsbrunner, Herbert
  id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
  last_name: Edelsbrunner
  orcid: 0000-0002-9823-6833
- first_name: Morteza
  full_name: Saghafian, Morteza
  id: f86f7148-b140-11ec-9577-95435b8df824
  last_name: Saghafian
citation:
  ama: Cultrera di Montesano S, Draganov O, Edelsbrunner H, Saghafian M. Chromatic
    topological data analysis. <i>arXiv</i>. doi:<a href="https://doi.org/10.48550/ARXIV.2406.04102">10.48550/ARXIV.2406.04102</a>
  apa: Cultrera di Montesano, S., Draganov, O., Edelsbrunner, H., &#38; Saghafian,
    M. (n.d.). Chromatic topological data analysis. <i>arXiv</i>. <a href="https://doi.org/10.48550/ARXIV.2406.04102">https://doi.org/10.48550/ARXIV.2406.04102</a>
  chicago: Cultrera di Montesano, Sebastiano, Ondrej Draganov, Herbert Edelsbrunner,
    and Morteza Saghafian. “Chromatic Topological Data Analysis.” <i>ArXiv</i>, n.d.
    <a href="https://doi.org/10.48550/ARXIV.2406.04102">https://doi.org/10.48550/ARXIV.2406.04102</a>.
  ieee: S. Cultrera di Montesano, O. Draganov, H. Edelsbrunner, and M. Saghafian,
    “Chromatic topological data analysis,” <i>arXiv</i>. .
  ista: Cultrera di Montesano S, Draganov O, Edelsbrunner H, Saghafian M. Chromatic
    topological data analysis. arXiv, 2406.04102.
  mla: Cultrera di Montesano, Sebastiano, et al. “Chromatic Topological Data Analysis.”
    <i>ArXiv</i>, 2406.04102, doi:<a href="https://doi.org/10.48550/ARXIV.2406.04102">10.48550/ARXIV.2406.04102</a>.
  short: S. Cultrera di Montesano, O. Draganov, H. Edelsbrunner, M. Saghafian, ArXiv
    (n.d.).
corr_author: '1'
date_created: 2025-02-04T16:21:21Z
date_published: 2024-06-06T00:00:00Z
date_updated: 2025-02-10T08:14:27Z
day: '06'
ddc:
- '510'
department:
- _id: GradSch
- _id: HeEd
doi: 10.48550/ARXIV.2406.04102
external_id:
  arxiv:
  - '2406.04102'
has_accepted_license: '1'
language:
- iso: eng
license: https://creativecommons.org/licenses/by/4.0/
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2406.04102
month: '06'
oa: 1
oa_version: Preprint
publication: arXiv
publication_status: submitted
status: public
title: Chromatic topological data analysis
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: preprint
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2024'
...