{"id":"https://openalex.org/W4389104634","doi":"https://doi.org/10.1109/tvcg.2023.3334755","title":"Wasserstein Auto-Encoders of Merge Trees (and Persistence Diagrams)","display_name":"Wasserstein Auto-Encoders of Merge Trees (and Persistence Diagrams)","publication_year":2023,"publication_date":"2023-11-28","ids":{"openalex":"https://openalex.org/W4389104634","doi":"https://doi.org/10.1109/tvcg.2023.3334755","pmid":"https://pubmed.ncbi.nlm.nih.gov/38015696"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1109/tvcg.2023.3334755","pdf_url":null,"source":{"id":"https://openalex.org/S84775595","display_name":"IEEE Transactions on Visualization and Computer Graphics","issn_l":"1077-2626","issn":["1077-2626","1941-0506","2160-9306"],"is_oa":false,"is_in_doaj":false,"is_indexed_in_scopus":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.science/hal-04552330/document","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5028659844","display_name":"Mathieu Pont","orcid":"https://orcid.org/0000-0002-0037-0314"},"institutions":[],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Mathieu Pont","raw_affiliation_strings":["APR - Algorithmes, Programmes et R\u00e9solution (France)"],"affiliations":[{"raw_affiliation_string":"APR - Algorithmes, Programmes et R\u00e9solution (France)","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074734666","display_name":"Julien Tierny","orcid":"https://orcid.org/0000-0003-0056-2831"},"institutions":[{"id":"https://openalex.org/I4389425457","display_name":"Institut des Sciences du Calcul et des Donn\u00e9es","ror":"https://ror.org/00y16rm59","country_code":null,"type":"facility","lineage":["https://openalex.org/I39804081","https://openalex.org/I4389425457"]},{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"funder","lineage":["https://openalex.org/I39804081"]},{"id":"https://openalex.org/I3017942884","display_name":"Institut de Math\u00e9matiques de Jussieu-Paris Rive Gauche","ror":"https://ror.org/03fk87k11","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I204730241","https://openalex.org/I3017942884","https://openalex.org/I39804081","https://openalex.org/I4210141950"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Julien Tierny","raw_affiliation_strings":["APR - Algorithmes, Programmes et R\u00e9solution (France)","ISCD - Institut des Sciences du Calcul et des Donn\u00e9es (Sorbonne-Universit\u00e9, Campus Jussieu 4 Place Jussieu, 75005 Paris - France)"],"affiliations":[{"raw_affiliation_string":"ISCD - Institut des Sciences du Calcul et des Donn\u00e9es (Sorbonne-Universit\u00e9, Campus Jussieu 4 Place Jussieu, 75005 Paris - France)","institution_ids":["https://openalex.org/I4389425457","https://openalex.org/I39804081","https://openalex.org/I3017942884"]},{"raw_affiliation_string":"APR - Algorithmes, Programmes et R\u00e9solution (France)","institution_ids":[]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"fulltext_origin":"pdf","cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":0,"max":65},"biblio":{"volume":"30","issue":"9","first_page":"6390","last_page":"6406"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":1.0,"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"}},{"id":"https://openalex.org/T11304","display_name":"Advanced Neuroimaging Techniques and Applications","score":0.9923,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T12859","display_name":"Cell Image Analysis Techniques","score":0.9843,"subfield":{"id":"https://openalex.org/subfields/1304","display_name":"Biophysics"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/merge","display_name":"Merge (version control)","score":0.70009345}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.79617363},{"id":"https://openalex.org/C197129107","wikidata":"https://www.wikidata.org/wiki/Q1921621","display_name":"Merge (version control)","level":2,"score":0.70009345},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.42163557},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4121334},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3669563},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.25662655}],"mesh":[],"locations_count":4,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1109/tvcg.2023.3334755","pdf_url":null,"source":{"id":"https://openalex.org/S84775595","display_name":"IEEE Transactions on Visualization and Computer Graphics","issn_l":"1077-2626","issn":["1077-2626","1941-0506","2160-9306"],"is_oa":false,"is_in_doaj":false,"is_indexed_in_scopus":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"https://hal.science/hal-04552330","pdf_url":"https://hal.science/hal-04552330/document","source":null,"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2307.02509","pdf_url":"http://arxiv.org/pdf/2307.02509","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_indexed_in_scopus":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false},{"is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/38015696","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_indexed_in_scopus":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":["National Institutes of Health"],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://hal.science/hal-04552330","pdf_url":"https://hal.science/hal-04552330/document","source":null,"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false},"sustainable_development_goals":[],"grants":[{"funder":"https://openalex.org/F4320320300","funder_display_name":"European Commission","award_id":"ERC-2019-COG"}],"datasets":[],"versions":[],"referenced_works_count":76,"referenced_works":["https://openalex.org/W1481632020","https://openalex.org/W1575022706","https://openalex.org/W1600748172","https://openalex.org/W1604082823","https://openalex.org/W1920826835","https://openalex.org/W1927021626","https://openalex.org/W1930589737","https://openalex.org/W1932275522","https://openalex.org/W1941024310","https://openalex.org/W1960384938","https://openalex.org/W1980853116","https://openalex.org/W1982271317","https://openalex.org/W1994178293","https://openalex.org/W2017257315","https://openalex.org/W2036022226","https://openalex.org/W2047158247","https://openalex.org/W2052911743","https://openalex.org/W2056708848","https://openalex.org/W2057869046","https://openalex.org/W2075608792","https://openalex.org/W2096510084","https://openalex.org/W2109657057","https://openalex.org/W2141461755","https://openalex.org/W2141653286","https://openalex.org/W2142345929","https://openalex.org/W2145347746","https://openalex.org/W2146019744","https://openalex.org/W2153617705","https://openalex.org/W2156204145","https://openalex.org/W2157701289","https://openalex.org/W2157988812","https://openalex.org/W2165939338","https://openalex.org/W2187089797","https://openalex.org/W2294510945","https://openalex.org/W2294798173","https://openalex.org/W2475195788","https://openalex.org/W2475286089","https://openalex.org/W2541190230","https://openalex.org/W2614596590","https://openalex.org/W2753153359","https://openalex.org/W2884740671","https://openalex.org/W2892037701","https://openalex.org/W2895105248","https://openalex.org/W2902125368","https://openalex.org/W2951435719","https://openalex.org/W2956257765","https://openalex.org/W2962844619","https://openalex.org/W2962874918","https://openalex.org/W2962902468","https://openalex.org/W2964237352","https://openalex.org/W2967241380","https://openalex.org/W2994761520","https://openalex.org/W2997113231","https://openalex.org/W3008461115","https://openalex.org/W3009330671","https://openalex.org/W3013843370","https://openalex.org/W3015234645","https://openalex.org/W3042840297","https://openalex.org/W3085701794","https://openalex.org/W3122470830","https://openalex.org/W3165474212","https://openalex.org/W3173682628","https://openalex.org/W3202280653","https://openalex.org/W3212196009","https://openalex.org/W4246354968","https://openalex.org/W4255383393","https://openalex.org/W4288762355","https://openalex.org/W4289688996","https://openalex.org/W4298206405","https://openalex.org/W4302275167","https://openalex.org/W4306728646","https://openalex.org/W4312372931","https://openalex.org/W4313421805","https://openalex.org/W4317532093","https://openalex.org/W4388319941","https://openalex.org/W801015201"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W4234886518","https://openalex.org/W3124036233","https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W2390279801","https://openalex.org/W2389591058","https://openalex.org/W2382112581","https://openalex.org/W2073681303","https://openalex.org/W2051487156"],"abstract_inverted_index":{"This":[0],"article":[1],"presents":[2],"a":[3,14,74,229],"computational":[4],"framework":[5,190],"for":[6,177,236],"the":[7,18,25,57,102,111,119,155,171,178,186,200,204,221],"Wasserstein":[8,26,205],"auto-encoding":[9],"of":[10,17,29,56,77,104,113,121,158,174,181,188,223],"merge":[11,30,46,86,132,144,208],"trees":[12,47],"(MT-WAE),":[13],"novel":[15,66],"extension":[16],"classical":[19],"auto-encoder":[20],"neural":[21,67],"network":[22,68],"architecture":[23],"to":[24,34,93,143,166,196],"metric":[27,51],"space":[28,52,173,202],"trees.":[31],"In":[32,215],"contrast":[33],"traditional":[35],"auto-encoders":[36],"which":[37],"operate":[38],"on":[39,48,98,115,131],"vectorized":[40],"data,":[41],"our":[42,105,122,159,175,189,224],"formulation":[43],"explicitly":[44],"manipulates":[45],"their":[49,152,213],"associated":[50],"at":[53,85],"each":[54],"layer":[55,157],"network,":[58],"resulting":[59],"in":[60,110,124,154,199],"superior":[61],"accuracy":[62],"and":[63],"interpretability.":[64],"Our":[65],"approach":[69],"can":[70,233],"be":[71,234],"interpreted":[72],"as":[73,210,212],"non-linear":[75],"generalization":[76],"previous":[78,129],"linear":[79],"attempts":[80],"(Pont":[81,135],"et":[82,136],"al.":[83,137],"2023)":[84],"tree":[87,133,145],"encoding.":[88],"It":[89],"also":[90],"trivially":[91],"extends":[92],"persistence":[94],"diagrams.":[95],"Extensive":[96],"experiments":[97,219],"public":[99],"ensembles":[100],"demonstrate":[101],"efficiency":[103],"algorithms,":[106],"with":[107,151],"MT-WAE":[108,142],"computations":[109],"orders":[112],"minutes":[114],"average.":[116],"We":[117,184],"show":[118],"utility":[120],"contributions":[123],"two":[125,193],"applications":[126],"adapted":[127],"from":[128],"work":[130],"encoding":[134],"2023).":[138],"First,":[139],"we":[140,162,227],"apply":[141],"compression,":[146],"by":[147,169,191],"concisely":[148],"representing":[149],"them":[150],"coordinates":[153],"final":[156],"auto-encoder.":[160],"Second,":[161],"document":[163],"an":[164],"application":[165],"dimensionality":[167],"reduction,":[168],"exploiting":[170],"latent":[172,201],"auto-encoder,":[176],"visual":[179],"analysis":[180],"ensemble":[182],"data.":[183],"illustrate":[185],"versatility":[187],"introducing":[192],"penalty":[194],"terms,":[195],"help":[197],"preserve":[198],"both":[203,216],"distances":[206],"between":[207],"trees,":[209],"well":[211],"clusters.":[214],"applications,":[217],"quantitative":[218],"assess":[220],"relevance":[222],"framework.":[225],"Finally,":[226],"provide":[228],"C++":[230],"implementation":[231],"that":[232],"used":[235],"reproducibility.":[237]},"abstract_inverted_index_v3":null,"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W4389104634","counts_by_year":[],"updated_date":"2025-04-13T19:39:33.249477","created_date":"2023-11-29"}