{"id":"https://openalex.org/W3036809643","doi":null,"title":"An Optimal Transport Kernel for Feature Aggregation and its Relationship to Attention","display_name":"An Optimal Transport Kernel for Feature Aggregation and its Relationship to Attention","publication_year":2020,"publication_date":"2020-06-29","ids":{"openalex":"https://openalex.org/W3036809643","mag":"3036809643"},"language":"en","primary_location":{"id":"pmh:oai:HAL:hal-02883436v1","doi":null,"is_oa":true,"landing_page_url":"https://hal.archives-ouvertes.fr/hal-02883436","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://hal.archives-ouvertes.fr/hal-02883436","raw_type":"info:eu-repo/semantics/preprint"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.archives-ouvertes.fr/hal-02883436","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5042339093","display_name":"Gr\u00e9goire Mialon","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4405259482","display_name":"THOTH: Apprentissage de mod\u00e8les visuels \u00e0 partir de donn\u00e9es massives","ror":"https://ror.org/02a2awp29","country_code":"FR","type":"facility","lineage":["https://openalex.org/I106785703","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I4210101348","https://openalex.org/I4210149092","https://openalex.org/I4405259482","https://openalex.org/I899635006"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Mialon, Gr\u00e9goire","raw_affiliation_strings":["Apprentissage de mod\u00e8les \u00e0 partir de donn\u00e9es massives"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Apprentissage de mod\u00e8les \u00e0 partir de donn\u00e9es massives","institution_ids":["https://openalex.org/I4405259482"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085221831","display_name":"Dexiong Chen","orcid":"https://orcid.org/0009-0009-7075-7483","observed_orcids":["https://orcid.org/0009-0009-7075-7483","https://orcid.org/0000-0002-4300-1746"]},"institutions":[{"id":"https://openalex.org/I4405259482","display_name":"THOTH: Apprentissage de mod\u00e8les visuels \u00e0 partir de donn\u00e9es massives","ror":"https://ror.org/02a2awp29","country_code":"FR","type":"facility","lineage":["https://openalex.org/I106785703","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I4210101348","https://openalex.org/I4210149092","https://openalex.org/I4405259482","https://openalex.org/I899635006"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Chen, Dexiong","raw_affiliation_strings":["Apprentissage de mod\u00e8les \u00e0 partir de donn\u00e9es massives"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Apprentissage de mod\u00e8les \u00e0 partir de donn\u00e9es massives","institution_ids":["https://openalex.org/I4405259482"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063516752","display_name":"Alexandre d\u2019Aspremont","orcid":"https://orcid.org/0000-0003-3851-216X","observed_orcids":["https://orcid.org/0000-0003-3851-216X"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"D'Aspremont, Alexandre","raw_affiliation_strings":["Statistical Machine Learning and Parsimony"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Statistical Machine Learning and Parsimony","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5062817741","display_name":"Julien Mairal","orcid":"https://orcid.org/0000-0001-6991-2110","observed_orcids":["https://orcid.org/0000-0001-6991-2110"]},"institutions":[{"id":"https://openalex.org/I4405259482","display_name":"THOTH: Apprentissage de mod\u00e8les visuels \u00e0 partir de donn\u00e9es massives","ror":"https://ror.org/02a2awp29","country_code":"FR","type":"facility","lineage":["https://openalex.org/I106785703","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I4210101348","https://openalex.org/I4210149092","https://openalex.org/I4405259482","https://openalex.org/I899635006"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Mairal, Julien","raw_affiliation_strings":["Apprentissage de mod\u00e8les \u00e0 partir de donn\u00e9es massives"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Apprentissage de mod\u00e8les \u00e0 partir de donn\u00e9es massives","institution_ids":["https://openalex.org/I4405259482"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12254","display_name":"Machine Learning in Bioinformatics","score":0.3131999969482422,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"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"}},"topics":[{"id":"https://openalex.org/T12254","display_name":"Machine Learning in Bioinformatics","score":0.3131999969482422,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"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"}},{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.17139999568462372,"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/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.04320000112056732,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/feature-aggregation","display_name":"feature aggregation","score":0.9419999718666077},{"id":"https://openalex.org/keywords/set-valued-data","display_name":"set-valued data","score":0.4880000054836273},{"id":"https://openalex.org/keywords/transport-plans","display_name":"transport plans","score":0.6430000066757202},{"id":"https://openalex.org/keywords/attention-mechanism","display_name":"attention mechanism","score":0.6890000104904175},{"id":"https://openalex.org/keywords/kernel-embedding","display_name":"kernel embedding","score":0.4180000126361847},{"id":"https://openalex.org/keywords/biological-sequence-classification","display_name":"biological sequence classification","score":0.8849999904632568},{"id":"https://openalex.org/keywords/long-term-dependencies","display_name":"long-range dependencies","score":0.906000018119812}],"concepts":[{"id":"https://openalex.org/C2776401178","wikidata":"https://www.wikidata.org/wiki/Q12050496","display_name":"Feature (linguistics)","level":2,"score":0.6691739559173584},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.6093291640281677},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46616607904434204},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3665928542613983},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2804641127586365},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.10409265756607056},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.09637090563774109},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.06676855683326721}],"mesh":[],"locations_count":1,"locations":[{"id":"pmh:oai:HAL:hal-02883436v1","doi":null,"is_oa":true,"landing_page_url":"https://hal.archives-ouvertes.fr/hal-02883436","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://hal.archives-ouvertes.fr/hal-02883436","raw_type":"info:eu-repo/semantics/preprint"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-02883436v1","doi":null,"is_oa":true,"landing_page_url":"https://hal.archives-ouvertes.fr/hal-02883436","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://hal.archives-ouvertes.fr/hal-02883436","raw_type":"info:eu-repo/semantics/preprint"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W1560724230","https://openalex.org/W1629559917","https://openalex.org/W1639961155","https://openalex.org/W2041625018","https://openalex.org/W2044284589","https://openalex.org/W2068143350","https://openalex.org/W2112545207","https://openalex.org/W2134692386","https://openalex.org/W2158131535","https://openalex.org/W2394667775","https://openalex.org/W2625346603","https://openalex.org/W2626778328","https://openalex.org/W2793477525","https://openalex.org/W2799054028","https://openalex.org/W2894384847","https://openalex.org/W2896457183","https://openalex.org/W2946794439","https://openalex.org/W2949578333","https://openalex.org/W2952433032","https://openalex.org/W2962717755","https://openalex.org/W2963091558","https://openalex.org/W2964308564","https://openalex.org/W2970483253","https://openalex.org/W2970565456","https://openalex.org/W2979718795","https://openalex.org/W2979861340","https://openalex.org/W2980282514","https://openalex.org/W2994759459","https://openalex.org/W3034955736","https://openalex.org/W3037646323","https://openalex.org/W3146944767"],"related_works":["https://openalex.org/W3127760629","https://openalex.org/W3089522807","https://openalex.org/W3216578426","https://openalex.org/W7169229772","https://openalex.org/W7171550376","https://openalex.org/W3197207515","https://openalex.org/W4378438613","https://openalex.org/W4415797778","https://openalex.org/W4226530284","https://openalex.org/W2920037128"],"abstract_inverted_index":{"We":[0,124],"introduce":[1],"a":[2,47,59,76,85,138],"kernel":[3],"for":[4,30,75,111,120],"sets":[5,31],"of":[6,25,46,128],"features":[7,45],"based":[8],"on":[9],"an":[10,16,126],"optimal":[11],"transport":[12,53],"distance,":[13],"along":[14],"with":[15,100],"explicit":[17],"embedding":[18,42,71,107,130],"function.":[19],"Our":[20,106,144],"approach":[21],"addresses":[22],"the":[23,44,52,56,63],"problem":[24],"feature":[26],"aggregation,":[27],"or":[28,79,136],"pooling,":[29],"that":[32,131],"exhibit":[33],"long-range":[34],"dependencies":[35],"between":[36,55],"their":[37],"members.":[38],"More":[39],"precisely,":[40],"our":[41,70,129],"aggregates":[43],"given":[48],"set":[49,57],"according":[50],"to":[51,88,98],"plan":[54],"and":[58,116],"reference":[60],"shared":[61],"across":[62],"data":[64,80],"set.":[65,81],"Unlike":[66],"traditional":[67],"hand-crafted":[68],"kernels,":[69],"can":[72,132],"be":[73,133],"optimized":[74],"specific":[77],"task":[78],"It":[82],"also":[83],"has":[84],"natural":[86,121],"connection":[87],"attention":[89],"mechanisms":[90],"in":[91,140],"neural":[92],"networks,":[93],"which":[94],"are":[95],"commonly":[96],"used":[97,134],"deal":[99],"sets,":[101],"yet":[102],"requires":[103],"less":[104],"data.":[105],"is":[108,146],"particularly":[109],"suited":[110],"biological":[112],"sequence":[113],"classification":[114],"tasks":[115],"shows":[117],"promising":[118],"results":[119],"language":[122],"sequences.":[123],"provide":[125],"implementation":[127],"alone":[135],"as":[137],"module":[139],"larger":[141],"learning":[142],"models.":[143],"code":[145],"freely":[147],"available":[148],"at":[149],"https://github.com/claying/OTK.":[150]},"counts_by_year":[],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2020-06-25T00:00:00"}
