{"id":"https://openalex.org/W4286905149","doi":"https://doi.org/10.48550/arxiv.2110.02753","title":"Semi-relaxed Gromov-Wasserstein divergence with applications on graphs","display_name":"Semi-relaxed Gromov-Wasserstein divergence with applications on graphs","publication_year":2021,"publication_date":"2021-10-06","ids":{"openalex":"https://openalex.org/W4286905149","doi":"https://doi.org/10.48550/arxiv.2110.02753"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2110.02753","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2110.02753","pdf_url":"https://arxiv.org/pdf/2110.02753","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2110.02753","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5078155137","display_name":"C\u00e9dric Vincent-Cuaz","orcid":"https://orcid.org/0009-0004-5056-7977","observed_orcids":["https://orcid.org/0009-0004-5056-7977"]},"institutions":[{"id":"https://openalex.org/I4210107641","display_name":"Centre de Math\u00e9matiques Appliqu\u00e9es de l'\u00c9cole polytechnique","ror":"https://ror.org/012e1xn46","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I142476485","https://openalex.org/I4210107641","https://openalex.org/I4210141950","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I4210145102","display_name":"Institut Polytechnique de Paris","ror":"https://ror.org/042tfbd02","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210145102"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Vincent-Cuaz, C\u00e9dric","raw_affiliation_strings":["","; IP Paris , CMAP , UMR 7641"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"","institution_ids":[]},{"raw_affiliation_string":"; IP Paris , CMAP , UMR 7641","institution_ids":["https://openalex.org/I4210107641","https://openalex.org/I4210145102"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051249358","display_name":"R\u00e9mi Flamary","orcid":"https://orcid.org/0000-0002-4212-6627","observed_orcids":["https://orcid.org/0000-0002-4212-6627"]},"institutions":[{"id":"https://openalex.org/I113428412","display_name":"\u00c9cole Normale Sup\u00e9rieure de Lyon","ror":"https://ror.org/04zmssz18","country_code":"FR","type":"education","lineage":["https://openalex.org/I113428412","https://openalex.org/I203339264"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210144566","display_name":"Laboratoire de l'Informatique du Parall\u00e9lisme","ror":"https://ror.org/04msnz457","country_code":"FR","type":"facility","lineage":["https://openalex.org/I100532134","https://openalex.org/I113428412","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I203339264","https://openalex.org/I4210144566"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Flamary, R\u00e9mi","raw_affiliation_strings":["; MSI 3 ; Univ. Lyon , Inria , CNRS , ENS de Lyon , LIP UMR 5668"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"; MSI 3 ; Univ. Lyon , Inria , CNRS , ENS de Lyon , LIP UMR 5668","institution_ids":["https://openalex.org/I113428412","https://openalex.org/I1294671590","https://openalex.org/I4210144566"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033119788","display_name":"Marco Corneli","orcid":"https://orcid.org/0000-0002-9361-0080","observed_orcids":["https://orcid.org/0000-0002-9361-0080","https://orcid.org/0000-0002-3328-9934"]},"institutions":[{"id":"https://openalex.org/I4210107641","display_name":"Centre de Math\u00e9matiques Appliqu\u00e9es de l'\u00c9cole polytechnique","ror":"https://ror.org/012e1xn46","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I142476485","https://openalex.org/I4210107641","https://openalex.org/I4210141950","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I4210145102","display_name":"Institut Polytechnique de Paris","ror":"https://ror.org/042tfbd02","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210145102"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Corneli, Marco","raw_affiliation_strings":["; IP Paris , CMAP , UMR 7641"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"; IP Paris , CMAP , UMR 7641","institution_ids":["https://openalex.org/I4210107641","https://openalex.org/I4210145102"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061010956","display_name":"Titouan Vayer","orcid":"https://orcid.org/0000-0002-8115-572X","observed_orcids":["https://orcid.org/0000-0002-8115-572X"]},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I2802519937","display_name":"Institut de Recherche en Informatique et Syst\u00e8mes Al\u00e9atoires","ror":"https://ror.org/00myn0z94","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I205703379","https://openalex.org/I2802204017","https://openalex.org/I2802519937","https://openalex.org/I28221208","https://openalex.org/I4210127572","https://openalex.org/I4210159245","https://openalex.org/I56067802"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Vayer, Titouan","raw_affiliation_strings":["; Univ. Bretagne-Suf , CNRS , IRISA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"; Univ. Bretagne-Suf , CNRS , IRISA","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I2802519937"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111895517","display_name":"Nicolas Courty","orcid":"https://orcid.org/0000-0003-1353-0126","observed_orcids":["https://orcid.org/0000-0003-1353-0126"]},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210112930","display_name":"Laboratoire Jean-Alexandre Dieudonn\u00e9","ror":"https://ror.org/0274zdr66","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I201841394","https://openalex.org/I4210112930","https://openalex.org/I4210141950"]},{"id":"https://openalex.org/I4405260913","display_name":"MAASAI: Mod\u00e8les et algorithmes pour l'intelligence artificielle","ror":"https://ror.org/04fqa0d17","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1326498283","https://openalex.org/I4210106545","https://openalex.org/I4405260913"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Courty, Nicolas","raw_affiliation_strings":["Univ. C\u00f4te d'Azur , Inria , Maasai , CNRS , LJAD"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Univ. C\u00f4te d'Azur , Inria , Maasai , CNRS , LJAD","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210112930","https://openalex.org/I4405260913"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":8,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":23,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"28"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.7588000297546387,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.7588000297546387,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11273","display_name":"Advanced Graph Neural Networks","score":0.11559999734163284,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.045899998396635056,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/gromov-wasserstein-distance","display_name":"Gromov-Wasserstein distance","score":0.8970000147819519},{"id":"https://openalex.org/keywords/optimal-transport","display_name":"optimal transport","score":0.9520000219345093},{"id":"https://openalex.org/keywords/graph-comparison","display_name":"graph comparison","score":0.7419999837875366},{"id":"https://openalex.org/keywords/graph-partitioning","display_name":"graph partitioning","score":0.9750000238418579},{"id":"https://openalex.org/keywords/graph-clustering","display_name":"graph clustering","score":0.9660000205039978},{"id":"https://openalex.org/keywords/graph-completion","display_name":"graph completion","score":0.9800000190734863},{"id":"https://openalex.org/keywords/mass-conservation","display_name":"mass conservation","score":0.5189999938011169},{"id":"https://openalex.org/keywords/structured-data","display_name":"structured data","score":0.3529999852180481}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5897975564002991},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.5696777701377869},{"id":"https://openalex.org/C207390915","wikidata":"https://www.wikidata.org/wiki/Q1230525","display_name":"Divergence (linguistics)","level":2,"score":0.5631752610206604},{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.5570514798164368},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.5369223356246948},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.49996447563171387},{"id":"https://openalex.org/C2164484","wikidata":"https://www.wikidata.org/wiki/Q5170150","display_name":"Core (optical fiber)","level":2,"score":0.4679645001888275},{"id":"https://openalex.org/C158154518","wikidata":"https://www.wikidata.org/wiki/Q7310970","display_name":"Relevance (law)","level":2,"score":0.4619346857070923},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32553625106811523},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.32144710421562195},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1826869547367096},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"pmh:oai:arXiv.org:2110.02753","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2110.02753","pdf_url":"https://arxiv.org/pdf/2110.02753","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:HAL:hal-03376923v1","doi":null,"is_oa":false,"landing_page_url":"https://hal.science/hal-03376923v1","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4405252976","host_organization_name":"Centre pour la Communication Scientifique Directe","host_organization_lineage":["https://openalex.org/I4405252976"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"2021","raw_type":"info:eu-repo/semantics/preprint"},{"id":"pmh:oai:HAL:hal-03832589v1","doi":null,"is_oa":false,"landing_page_url":"https://hal.science/hal-03832589v1","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4405252976","host_organization_name":"Centre pour la Communication Scientifique Directe","host_organization_lineage":["https://openalex.org/I4405252976"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ICLR 2022 - 10th International Conference on Learning Representations, Apr 2022, Virtual, France. pp.1-28","raw_type":"info:eu-repo/semantics/conferenceObject"},{"id":"doi:10.48550/arxiv.2110.02753","doi":"https://doi.org/10.48550/arxiv.2110.02753","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2110.02753","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2110.02753","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2110.02753","pdf_url":"https://arxiv.org/pdf/2110.02753","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G1399672486","display_name":null,"funder_award_id":"ANR-18-EUR-0006","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G1416082926","display_name":null,"funder_award_id":"ANR16-IDEX-0005","funder_id":"https://openalex.org/F4320326804","funder_display_name":"Universit\u00e9 de Lyon"},{"id":"https://openalex.org/G1752578020","display_name":null,"funder_award_id":"ANR-18-EUR-0006-02","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G2059212440","display_name":"Earth Observation with Optimal Transport for Artificial Intelligence","funder_award_id":"ANR-20-CHIA-0030","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G2113015678","display_name":"3IA C\u00f4te d'Azur","funder_award_id":"ANR-19-P3IA-0002","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G2936332253","display_name":null,"funder_award_id":"16-IDEX-0005","funder_id":"https://openalex.org/F4320326804","funder_display_name":"Universit\u00e9 de Lyon"},{"id":"https://openalex.org/G3681391584","display_name":"OptimAl Transport for MachIne Learning","funder_award_id":"ANR-17-CE23-0012","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G523803005","display_name":null,"funder_award_id":"ANR-18-EUR-0006- 02","funder_id":"https://openalex.org/F4320319860","funder_display_name":"Institut Polytechnique de Paris"},{"id":"https://openalex.org/G5296751580","display_name":null,"funder_award_id":"ANR-20","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G7687102272","display_name":"IDEXLYON","funder_award_id":"ANR-16-IDEX-0005","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G8896312945","display_name":null,"funder_award_id":"18-EUR-0006-02","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320319860","display_name":"Institut Polytechnique de Paris","ror":"https://ror.org/042tfbd02"},{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"},{"id":"https://openalex.org/F4320326804","display_name":"Universit\u00e9 de Lyon","ror":"https://ror.org/01rk35k63"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4286905149.pdf","grobid_xml":"https://content.openalex.org/works/W4286905149.grobid-xml"},"referenced_works_count":75,"referenced_works":["https://openalex.org/W905619","https://openalex.org/W1511139817","https://openalex.org/W1533473741","https://openalex.org/W1587744656","https://openalex.org/W1601741115","https://openalex.org/W2005876975","https://openalex.org/W2008857988","https://openalex.org/W2022704179","https://openalex.org/W2025605741","https://openalex.org/W2027842533","https://openalex.org/W2033403400","https://openalex.org/W2036996178","https://openalex.org/W2039940482","https://openalex.org/W2042737998","https://openalex.org/W2047940964","https://openalex.org/W2056562706","https://openalex.org/W2076080556","https://openalex.org/W2080918732","https://openalex.org/W2101491865","https://openalex.org/W2102907934","https://openalex.org/W2115467367","https://openalex.org/W2129893339","https://openalex.org/W2131681506","https://openalex.org/W2145962650","https://openalex.org/W2147286743","https://openalex.org/W2149414429","https://openalex.org/W2158131535","https://openalex.org/W2162833336","https://openalex.org/W2164998314","https://openalex.org/W2165874743","https://openalex.org/W2169067611","https://openalex.org/W2292080738","https://openalex.org/W2417433140","https://openalex.org/W2419507445","https://openalex.org/W2460087882","https://openalex.org/W2474265885","https://openalex.org/W2528314500","https://openalex.org/W2558748708","https://openalex.org/W2591711955","https://openalex.org/W2604795503","https://openalex.org/W2743418339","https://openalex.org/W2744110160","https://openalex.org/W2793477525","https://openalex.org/W2811124557","https://openalex.org/W2884051263","https://openalex.org/W2887818975","https://openalex.org/W2889833989","https://openalex.org/W2890850650","https://openalex.org/W2892304178","https://openalex.org/W2907492528","https://openalex.org/W2909805545","https://openalex.org/W2911397097","https://openalex.org/W2920703887","https://openalex.org/W2925177113","https://openalex.org/W2948839854","https://openalex.org/W2962810718","https://openalex.org/W2962981076","https://openalex.org/W2964121744","https://openalex.org/W2966645965","https://openalex.org/W2971207033","https://openalex.org/W2996858319","https://openalex.org/W3006766236","https://openalex.org/W3033888062","https://openalex.org/W3034065136","https://openalex.org/W3034530345","https://openalex.org/W3082556740","https://openalex.org/W3084165997","https://openalex.org/W3106529377","https://openalex.org/W3157286395","https://openalex.org/W3157901108","https://openalex.org/W3160202947","https://openalex.org/W3170177973","https://openalex.org/W3176131793","https://openalex.org/W3177828909","https://openalex.org/W4283813372"],"related_works":["https://openalex.org/W4308481499","https://openalex.org/W3131640093","https://openalex.org/W2945793051","https://openalex.org/W4280603580","https://openalex.org/W7133232288","https://openalex.org/W3033888062","https://openalex.org/W4387225866","https://openalex.org/W4399373692","https://openalex.org/W7212000845","https://openalex.org/W2911397097"],"abstract_inverted_index":{"Comparing":[0],"structured":[1],"objects":[2],"such":[3,97,147],"as":[4,53,98,148],"graphs":[5,146],"is":[6,64],"a":[7,73,110],"fundamental":[8],"operation":[9],"involved":[10],"in":[11,32,86],"many":[12],"learning":[13,135],"tasks.":[14],"To":[15],"this":[16,87,90],"end,":[17],"the":[18,34,38,44,60,65,77,80],"Gromov-Wasserstein":[19,113],"(GW)":[20],"distance,":[21],"based":[22],"on":[23,50,145],"Optimal":[24],"Transport":[25],"(OT),":[26],"has":[27],"proven":[28],"to":[29,130],"be":[30,93],"successful":[31],"handling":[33],"specific":[35,57],"nature":[36],"of":[37,62,67,69],"associated":[39],"objects.":[40],"More":[41],"specifically,":[42],"through":[43],"nodes":[45,78],"connectivity":[46],"relations,":[47],"GW":[48],"operates":[49],"graphs,":[51],"seen":[52],"probability":[54],"measures":[55],"over":[56],"spaces.":[58],"At":[59],"core":[61],"OT":[63],"idea":[66],"conservation":[68],"mass,":[70],"which":[71],"imposes":[72],"coupling":[74],"between":[75],"all":[76],"from":[79,116],"two":[81],"considered":[82],"graphs.":[83],"We":[84,137],"argue":[85],"paper":[88],"that":[89,126],"property":[91],"can":[92,128],"detrimental":[94],"for":[95,142],"tasks":[96,144],"graph":[99,133],"dictionary":[100,134],"or":[101],"partition":[102],"learning,":[103],"and":[104,124,151],"we":[105,120],"relax":[106],"it":[107,127],"by":[108],"proposing":[109],"new":[111],"semi-relaxed":[112],"divergence.":[114],"Aside":[115],"immediate":[117],"computational":[118],"benefits,":[119],"discuss":[121],"its":[122,140],"properties,":[123],"show":[125],"lead":[129],"an":[131],"efficient":[132],"algorithm.":[136],"empirically":[138],"demonstrate":[139],"relevance":[141],"complex":[143],"partitioning,":[149],"clustering":[150],"completion.":[152]},"counts_by_year":[{"year":2026,"cited_by_count":6},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":1}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2022-07-25T00:00:00"}
