{"id":"https://openalex.org/W2530578841","doi":"https://doi.org/10.1109/access.2016.2639065","title":"DOTmark \u2013 A Benchmark for Discrete Optimal Transport","display_name":"DOTmark \u2013 A Benchmark for Discrete Optimal Transport","publication_year":2016,"publication_date":"2016-12-17","ids":{"openalex":"https://openalex.org/W2530578841","doi":"https://doi.org/10.1109/access.2016.2639065","mag":"2530578841"},"language":"en","primary_location":{"id":"doi:10.1109/access.2016.2639065","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2016.2639065","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1109/access.2016.2639065","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5070218061","display_name":"J\u00f6rn Schrieber","orcid":null},"institutions":[{"id":"https://openalex.org/I74656192","display_name":"University of G\u00f6ttingen","ror":"https://ror.org/01y9bpm73","country_code":"DE","type":"education","lineage":["https://openalex.org/I74656192"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Jorn Schrieber","raw_affiliation_strings":["Institute for Mathematical Stochastics, University of G\u00f6ttingen, G\u00f6ttingen, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Mathematical Stochastics, University of G\u00f6ttingen, G\u00f6ttingen, Germany","institution_ids":["https://openalex.org/I74656192"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049043391","display_name":"Dominic Schuhmacher","orcid":"https://orcid.org/0000-0001-7079-6313"},"institutions":[{"id":"https://openalex.org/I74656192","display_name":"University of G\u00f6ttingen","ror":"https://ror.org/01y9bpm73","country_code":"DE","type":"education","lineage":["https://openalex.org/I74656192"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Dominic Schuhmacher","raw_affiliation_strings":["Institute for Mathematical Stochastics, University of G\u00f6ttingen, G\u00f6ttingen, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Mathematical Stochastics, University of G\u00f6ttingen, G\u00f6ttingen, Germany","institution_ids":["https://openalex.org/I74656192"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015823290","display_name":"Carsten Gottschlich","orcid":"https://orcid.org/0000-0002-4118-012X"},"institutions":[{"id":"https://openalex.org/I74656192","display_name":"University of G\u00f6ttingen","ror":"https://ror.org/01y9bpm73","country_code":"DE","type":"education","lineage":["https://openalex.org/I74656192"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Carsten Gottschlich","raw_affiliation_strings":["Institute for Mathematical Stochastics, University of G\u00f6ttingen, G\u00f6ttingen, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Mathematical Stochastics, University of G\u00f6ttingen, G\u00f6ttingen, Germany","institution_ids":["https://openalex.org/I74656192"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5070218061"],"corresponding_institution_ids":["https://openalex.org/I74656192"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1975,"currency":"EUR","value_usd":2130},"fwci":5.548,"has_fulltext":false,"cited_by_count":41,"citation_normalized_percentile":{"value":0.96125196,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"5","issue":null,"first_page":"271","last_page":"282"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9932000041007996,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9932000041007996,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T10894","display_name":"Groundwater flow and contamination studies","score":0.9879999756813049,"subfield":{"id":"https://openalex.org/subfields/2305","display_name":"Environmental Engineering"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9811999797821045,"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/computer-science","display_name":"Computer science","score":0.7032177448272705},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.6811336278915405},{"id":"https://openalex.org/keywords/variety","display_name":"Variety (cybernetics)","score":0.5600392818450928},{"id":"https://openalex.org/keywords/ranging","display_name":"Ranging","score":0.5260438919067383},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.4975114166736603},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4237213730812073},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.41545042395591736},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.4138911962509155},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4034004509449005},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.37424808740615845},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.3561951518058777},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.32477685809135437},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.1921800673007965},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.09016397595405579}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7032177448272705},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.6811336278915405},{"id":"https://openalex.org/C136197465","wikidata":"https://www.wikidata.org/wiki/Q1729295","display_name":"Variety (cybernetics)","level":2,"score":0.5600392818450928},{"id":"https://openalex.org/C115051666","wikidata":"https://www.wikidata.org/wiki/Q6522493","display_name":"Ranging","level":2,"score":0.5260438919067383},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.4975114166736603},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4237213730812073},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.41545042395591736},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.4138911962509155},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4034004509449005},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.37424808740615845},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.3561951518058777},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.32477685809135437},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1921800673007965},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.09016397595405579},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"score":0.0},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1109/access.2016.2639065","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2016.2639065","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1610.03368","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1610.03368","pdf_url":"https://arxiv.org/pdf/1610.03368","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":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":[],"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:doaj.org/article:2a8417debc0d467bad149cd092c202cc","is_oa":true,"landing_page_url":"https://doaj.org/article/2a8417debc0d467bad149cd092c202cc","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 5, Pp 271-282 (2017)","raw_type":"article"},{"id":"pmh:oai:goescholar:1/14253","is_oa":true,"landing_page_url":"http://resolver.sub.uni-goettingen.de/purl?gs-1/14253","pdf_url":null,"source":{"id":"https://openalex.org/S4306401634","display_name":"GoeScholar  The Publication Server of the Georg-August-Universit\u00e4t G\u00f6ttingen (Georg-August-Universit\u00e4t G\u00f6ttingen)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210122495","host_organization_name":"Asklepios Klinik St. Georg","host_organization_lineage":["https://openalex.org/I4210122495"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"journalArticle"},{"id":"pmh:oai:publications.goettingen-research-online.de:2/43551","is_oa":true,"landing_page_url":"https://resolver.sub.uni-goettingen.de/purl?gro-2/43551","pdf_url":null,"source":{"id":"https://openalex.org/S4306401634","display_name":"GoeScholar  The Publication Server of the Georg-August-Universit\u00e4t G\u00f6ttingen (Georg-August-Universit\u00e4t G\u00f6ttingen)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210122495","host_organization_name":"Asklepios Klinik St. Georg","host_organization_lineage":["https://openalex.org/I4210122495"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"journal_article"}],"best_oa_location":{"id":"doi:10.1109/access.2016.2639065","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2016.2639065","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.75,"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W19846021","https://openalex.org/W207373900","https://openalex.org/W385466589","https://openalex.org/W927441146","https://openalex.org/W1994521023","https://openalex.org/W2036996178","https://openalex.org/W2049106345","https://openalex.org/W2051206690","https://openalex.org/W2056796861","https://openalex.org/W2059820716","https://openalex.org/W2067707835","https://openalex.org/W2068013644","https://openalex.org/W2079557531","https://openalex.org/W2090567291","https://openalex.org/W2117616929","https://openalex.org/W2127361026","https://openalex.org/W2142995284","https://openalex.org/W2143668817","https://openalex.org/W2158131535","https://openalex.org/W2164613142","https://openalex.org/W2196015344","https://openalex.org/W2211336473","https://openalex.org/W2253327477","https://openalex.org/W2265648421","https://openalex.org/W2491050689","https://openalex.org/W2539033431","https://openalex.org/W2744765264","https://openalex.org/W3099198021","https://openalex.org/W3102306585","https://openalex.org/W3103617649","https://openalex.org/W3106451119","https://openalex.org/W4233762729","https://openalex.org/W4291236916","https://openalex.org/W6682962330","https://openalex.org/W6691258563","https://openalex.org/W6743089941"],"related_works":["https://openalex.org/W2783354812","https://openalex.org/W4312958259","https://openalex.org/W2103009189","https://openalex.org/W4390813131","https://openalex.org/W2349383066","https://openalex.org/W4308259661","https://openalex.org/W4328132048","https://openalex.org/W1482441085","https://openalex.org/W2966858528","https://openalex.org/W2151687600"],"abstract_inverted_index":{"The":[0],"Wasserstein":[1],"metric":[2],"or":[3,22],"earth":[4],"mover's":[5],"distance":[6],"is":[7,43,93],"a":[8,52,76,84,98,126,158,161,165,194],"useful":[9],"tool":[10],"in":[11,28,63,131],"statistics,":[12],"computer":[13],"science":[14],"and":[15,66,115,134,147,160,191],"engineering":[16],"with":[17,68,112,153,196],"many":[18],"applications":[19],"to":[20,57,95,117,181],"biological":[21],"medical":[23],"imaging,":[24],"among":[25],"others.":[26],"Especially":[27],"the":[29,35,45,73,154,178,187],"light":[30],"of":[31,37,54,101,125,128,140,168],"increasingly":[32],"complex":[33],"data,":[34],"computation":[36],"these":[38,69],"distances":[39],"via":[40],"optimal":[41,58,88,105],"transport":[42,59,106],"often":[44],"limiting":[46],"factor.":[47],"Inspired":[48],"by":[49],"this":[50,80],"challenge,":[51],"variety":[53,127],"new":[55,70],"approaches":[56],"has":[60],"been":[61],"proposed":[62],"recent":[64],"years":[65],"along":[67],"methods":[71,107,170],"comes":[72],"need":[74],"for":[75,86,164],"meaningful":[77],"comparison.":[78],"In":[79],"paper,":[81],"we":[82,156],"introduce":[83],"benchmark":[85],"discrete":[87,104],"transport,":[89],"called":[90],"DOTmark,":[91],"which":[92],"designed":[94],"serve":[96],"as":[97,137,177,186],"neutral":[99],"collection":[100],"problems,":[102],"where":[103],"can":[108],"be":[109],"tested,":[110],"compared":[111],"one":[113],"another,":[114],"brought":[116],"their":[118],"limits":[119],"on":[120],"large-scale":[121],"instances.":[122],"It":[123],"consists":[124],"grayscale":[129],"images,":[130,143],"various":[132],"resolutions":[133],"classes,":[135],"such":[136,176,185],"several":[138],"types":[139],"randomly":[141],"generated":[142],"classical":[144],"test":[145,163],"images":[146],"real":[148],"data":[149],"from":[150,172],"microscopy.":[151],"Along":[152],"DOTmark":[155],"present":[157],"survey":[159],"performance":[162],"cross":[166],"section":[167],"established":[169],"ranging":[171],"more":[173],"traditional":[174],"algorithms,":[175],"transportation":[179],"simplex,":[180],"recently":[182],"developed":[183],"approaches,":[184],"shielding":[188],"neighborhood":[189],"method,":[190],"including":[192],"also":[193],"comparison":[195],"commercial":[197],"solvers.":[198]},"counts_by_year":[{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":1}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}
