---
OA_place: publisher
OA_type: hybrid
_id: '20729'
abstract:
- lang: eng
  text: 'Persistence modules (defined as a sequence of vector spaces and linear maps
    between them) are a key tool in topological data analysis. They are easy to interpret
    and fast to compute. However, when considering persistence maps (i.e. maps between
    persistence modules), these properties are lost. We propose a new invariant for
    persistence maps consisting of a partial matching such that: it is easy to interpret,
    it is more discriminative than the image of the persistence map, and can be calculated
    with cubical complexity.'
acknowledgement: Álvaro Torras-Casas contract is funded by the French Agence Nationale
  de la Recherche through the project reference ANR-22-CPJ1-0047-01. Rocio Gonzalez-Diaz
  is partially funded by the European Union under grant agreement no. 101070028-2
  (REXASI-PRO).
article_processing_charge: Yes (in subscription journal)
author:
- first_name: Rocio
  full_name: Gonzalez-Diaz, Rocio
  last_name: Gonzalez-Diaz
- first_name: Manuel
  full_name: Soriano Trigueros, Manuel
  id: 15ebd7cf-15bf-11ee-aebd-bb4bb5121ea8
  last_name: Soriano Trigueros
  orcid: 0000-0003-2449-1433
- first_name: Alvaro
  full_name: Torras-Casas, Alvaro
  last_name: Torras-Casas
citation:
  ama: 'Gonzalez-Diaz R, Soriano Trigueros M, Torras-Casas A. Additive partial matchings
    for persistent homology. In: <i>Proceedings of the 2025 International Symposium
    on Symbolic and Algebraic Computation</i>. Association for Computing Machinery;
    2025:188-196. doi:<a href="https://doi.org/10.1145/3747199.3747561">10.1145/3747199.3747561</a>'
  apa: 'Gonzalez-Diaz, R., Soriano Trigueros, M., &#38; Torras-Casas, A. (2025). Additive
    partial matchings for persistent homology. In <i>Proceedings of the 2025 International
    Symposium on Symbolic and Algebraic Computation</i> (pp. 188–196). Guanajuato,
    Mexico: Association for Computing Machinery. <a href="https://doi.org/10.1145/3747199.3747561">https://doi.org/10.1145/3747199.3747561</a>'
  chicago: Gonzalez-Diaz, Rocio, Manuel Soriano Trigueros, and Alvaro Torras-Casas.
    “Additive Partial Matchings for Persistent Homology.” In <i>Proceedings of the
    2025 International Symposium on Symbolic and Algebraic Computation</i>, 188–96.
    Association for Computing Machinery, 2025. <a href="https://doi.org/10.1145/3747199.3747561">https://doi.org/10.1145/3747199.3747561</a>.
  ieee: R. Gonzalez-Diaz, M. Soriano Trigueros, and A. Torras-Casas, “Additive partial
    matchings for persistent homology,” in <i>Proceedings of the 2025 International
    Symposium on Symbolic and Algebraic Computation</i>, Guanajuato, Mexico, 2025,
    pp. 188–196.
  ista: 'Gonzalez-Diaz R, Soriano Trigueros M, Torras-Casas A. 2025. Additive partial
    matchings for persistent homology. Proceedings of the 2025 International Symposium
    on Symbolic and Algebraic Computation. ISSAC: International Symposium on Symbolic
    and Algebraic Computation, 188–196.'
  mla: Gonzalez-Diaz, Rocio, et al. “Additive Partial Matchings for Persistent Homology.”
    <i>Proceedings of the 2025 International Symposium on Symbolic and Algebraic Computation</i>,
    Association for Computing Machinery, 2025, pp. 188–96, doi:<a href="https://doi.org/10.1145/3747199.3747561">10.1145/3747199.3747561</a>.
  short: R. Gonzalez-Diaz, M. Soriano Trigueros, A. Torras-Casas, in:, Proceedings
    of the 2025 International Symposium on Symbolic and Algebraic Computation, Association
    for Computing Machinery, 2025, pp. 188–196.
conference:
  end_date: 2025-08-01
  location: Guanajuato, Mexico
  name: 'ISSAC: International Symposium on Symbolic and Algebraic Computation'
  start_date: 2025-07-28
corr_author: '1'
date_created: 2025-12-07T23:02:01Z
date_published: 2025-11-10T00:00:00Z
date_updated: 2025-12-09T13:46:42Z
day: '10'
ddc:
- '510'
department:
- _id: HeEd
doi: 10.1145/3747199.3747561
file:
- access_level: open_access
  checksum: 1c299cca165a20e2518afe4fda63dbf1
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  creator: dernst
  date_created: 2025-12-09T13:43:17Z
  date_updated: 2025-12-09T13:43:17Z
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file_date_updated: 2025-12-09T13:43:17Z
has_accepted_license: '1'
language:
- iso: eng
month: '11'
oa: 1
oa_version: Published Version
page: 188-196
publication: Proceedings of the 2025 International Symposium on Symbolic and Algebraic
  Computation
publication_identifier:
  isbn:
  - '9798400720758'
publication_status: published
publisher: Association for Computing Machinery
quality_controlled: '1'
scopus_import: '1'
status: public
title: Additive partial matchings for persistent homology
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: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2025'
...