[{"OA_place":"publisher","date_updated":"2025-12-09T13:46:42Z","ddc":["510"],"OA_type":"hybrid","scopus_import":"1","date_created":"2025-12-07T23:02:01Z","publication":"Proceedings of the 2025 International Symposium on Symbolic and Algebraic Computation","oa_version":"Published Version","type":"conference","corr_author":"1","abstract":[{"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.","lang":"eng"}],"status":"public","has_accepted_license":"1","citation":{"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>","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.","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>","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.","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>."},"language":[{"iso":"eng"}],"year":"2025","file_date_updated":"2025-12-09T13:43:17Z","publication_status":"published","month":"11","author":[{"first_name":"Rocio","last_name":"Gonzalez-Diaz","full_name":"Gonzalez-Diaz, Rocio"},{"first_name":"Manuel","orcid":"0000-0003-2449-1433","last_name":"Soriano Trigueros","id":"15ebd7cf-15bf-11ee-aebd-bb4bb5121ea8","full_name":"Soriano Trigueros, Manuel"},{"full_name":"Torras-Casas, Alvaro","first_name":"Alvaro","last_name":"Torras-Casas"}],"page":"188-196","conference":{"end_date":"2025-08-01","location":"Guanajuato, Mexico","start_date":"2025-07-28","name":"ISSAC: International Symposium on Symbolic and Algebraic Computation"},"doi":"10.1145/3747199.3747561","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).","file":[{"relation":"main_file","creator":"dernst","access_level":"open_access","content_type":"application/pdf","date_created":"2025-12-09T13:43:17Z","file_size":761617,"checksum":"1c299cca165a20e2518afe4fda63dbf1","success":1,"date_updated":"2025-12-09T13:43:17Z","file_id":"20751","file_name":"2025_ISSAC_GonzalezDiaz.pdf"}],"publisher":"Association for Computing Machinery","date_published":"2025-11-10T00:00:00Z","_id":"20729","quality_controlled":"1","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","oa":1,"title":"Additive partial matchings for persistent homology","day":"10","department":[{"_id":"HeEd"}],"article_processing_charge":"Yes (in subscription journal)","publication_identifier":{"isbn":["9798400720758"]},"tmp":{"short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"}}]