{"id":"https://openalex.org/W2343285185","doi":"https://doi.org/10.1109/cvpr.2018.00389","title":"Efficient Optimization for Rank-Based Loss Functions","display_name":"Efficient Optimization for Rank-Based Loss Functions","publication_year":2018,"publication_date":"2018-06-01","ids":{"openalex":"https://openalex.org/W2343285185","doi":"https://doi.org/10.1109/cvpr.2018.00389","mag":"2343285185"},"language":"en","primary_location":{"id":"doi:10.1109/cvpr.2018.00389","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cvpr.2018.00389","pdf_url":null,"source":{"id":"https://openalex.org/S4210176548","display_name":"IEEE Computer Society Conference on Computer Vision and Pattern Recognition/Proceedings - IEEE Computer Society Conference on Computer Vision and Pattern Recognition/Proceedings","issn_l":"1063-6919","issn":["1063-6919","2332-564X","2575-7075"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","norway-1"],"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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 IEEE/CVF Conference on Computer Vision and Pattern Recognition","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1604.08269","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5006385059","display_name":"Pritish Mohapatra","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I64189192","display_name":"International Institute of Information Technology, Hyderabad","ror":"https://ror.org/05f11g639","country_code":"IN","type":"education","lineage":["https://openalex.org/I64189192"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Pritish Mohapatra","raw_affiliation_strings":["IIIT Hyderabad","[IIIT, Hyderabad]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IIIT Hyderabad","institution_ids":["https://openalex.org/I64189192"]},{"raw_affiliation_string":"[IIIT, Hyderabad]","institution_ids":["https://openalex.org/I64189192"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056307421","display_name":"Michal Rol\u00ednek","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Michal Rolinek","raw_affiliation_strings":["MPI T\u00fcbingen","[MPI T\u00fcbingen]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"MPI T\u00fcbingen","institution_ids":[]},{"raw_affiliation_string":"[MPI T\u00fcbingen]","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053112307","display_name":"C. V. Jawahar","orcid":"https://orcid.org/0000-0001-6767-7057","observed_orcids":["https://orcid.org/0000-0001-6767-7057"]},"institutions":[{"id":"https://openalex.org/I64189192","display_name":"International Institute of Information Technology, Hyderabad","ror":"https://ror.org/05f11g639","country_code":"IN","type":"education","lineage":["https://openalex.org/I64189192"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"C.V. Jawahar","raw_affiliation_strings":["IIIT Hyderabad","[IIIT, Hyderabad]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IIIT Hyderabad","institution_ids":["https://openalex.org/I64189192"]},{"raw_affiliation_string":"[IIIT, Hyderabad]","institution_ids":["https://openalex.org/I64189192"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112860886","display_name":"Vladimir Kolmogorov","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I157556583","display_name":"Institute of Science and Technology Austria","ror":"https://ror.org/03gnh5541","country_code":"AT","type":"education","lineage":["https://openalex.org/I157556583"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Vladimir Kolmogorov","raw_affiliation_strings":["IST Austria","IST AUstria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IST Austria","institution_ids":["https://openalex.org/I157556583"]},{"raw_affiliation_string":"IST AUstria","institution_ids":["https://openalex.org/I157556583"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018728658","display_name":"Manish Kumar","orcid":"https://orcid.org/0000-0002-1311-0976","observed_orcids":["https://orcid.org/0000-0002-1311-0976"]},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]},{"id":"https://openalex.org/I4210128584","display_name":"The Alan Turing Institute","ror":"https://ror.org/035dkdb55","country_code":"GB","type":"facility","lineage":["https://openalex.org/I4210128584"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"M. Pawan Kumar","raw_affiliation_strings":["University of Oxford, Alan Turing Institute","University of Oxford,Alan Turing Institute"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Oxford, Alan Turing Institute","institution_ids":["https://openalex.org/I40120149","https://openalex.org/I4210128584"]},{"raw_affiliation_string":"University of Oxford,Alan Turing Institute","institution_ids":["https://openalex.org/I40120149","https://openalex.org/I4210128584"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.6745,"has_fulltext":true,"cited_by_count":40,"citation_normalized_percentile":{"value":0.95850556,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"3693","last_page":"3701"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10286","display_name":"Information Retrieval and Search Behavior","score":0.9613999724388123,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/T10286","display_name":"Information Retrieval and Search Behavior","score":0.9613999724388123,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.008500000461935997,"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/T10036","display_name":"Advanced Neural Network Applications","score":0.005400000140070915,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/average-precision","display_name":"average precision","score":0.8980000019073486},{"id":"https://openalex.org/keywords/ndcg","display_name":"NDCG","score":0.8970000147819519},{"id":"https://openalex.org/keywords/information-retrieval","display_name":"information retrieval","score":0.4490000009536743},{"id":"https://openalex.org/keywords/computational-complexity","display_name":"computational complexity","score":0.7110000252723694},{"id":"https://openalex.org/keywords/comparison-based-algorithms","display_name":"comparison-based algorithms","score":0.6549999713897705},{"id":"https://openalex.org/keywords/visual-task","display_name":"visual task","score":0.39500001072883606}],"concepts":[{"id":"https://openalex.org/C39891107","wikidata":"https://www.wikidata.org/wiki/Q5767098","display_name":"Hinge loss","level":3,"score":0.9072731733322144},{"id":"https://openalex.org/C86037889","wikidata":"https://www.wikidata.org/wiki/Q4330127","display_name":"Learning to rank","level":3,"score":0.7340764999389648},{"id":"https://openalex.org/C2778937211","wikidata":"https://www.wikidata.org/wiki/Q486598","display_name":"Quicksort","level":4,"score":0.7014756798744202},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6104416847229004},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5509997606277466},{"id":"https://openalex.org/C202615002","wikidata":"https://www.wikidata.org/wiki/Q783507","display_name":"Differentiable function","level":2,"score":0.5364096760749817},{"id":"https://openalex.org/C2776214188","wikidata":"https://www.wikidata.org/wiki/Q408386","display_name":"Inference","level":2,"score":0.5349871516227722},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.4857216477394104},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4819716811180115},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4345088601112366},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.42791467905044556},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.410108745098114},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3593551516532898},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3306601047515869},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.23404794931411743},{"id":"https://openalex.org/C189430467","wikidata":"https://www.wikidata.org/wiki/Q7293293","display_name":"Ranking (information retrieval)","level":2,"score":0.21863090991973877},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.06606116890907288},{"id":"https://openalex.org/C12267149","wikidata":"https://www.wikidata.org/wiki/Q282453","display_name":"Support vector machine","level":2,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C111696304","wikidata":"https://www.wikidata.org/wiki/Q2303697","display_name":"Sorting","level":2,"score":0.0},{"id":"https://openalex.org/C108094655","wikidata":"https://www.wikidata.org/wiki/Q181593","display_name":"Sorting algorithm","level":3,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/cvpr.2018.00389","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cvpr.2018.00389","pdf_url":null,"source":{"id":"https://openalex.org/S4210176548","display_name":"IEEE Computer Society Conference on Computer Vision and Pattern Recognition/Proceedings - IEEE Computer Society Conference on Computer Vision and Pattern Recognition/Proceedings","issn_l":"1063-6919","issn":["1063-6919","2332-564X","2575-7075"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","norway-1"],"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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 IEEE/CVF Conference on Computer Vision and Pattern Recognition","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:1604.08269","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1604.08269","pdf_url":"https://arxiv.org/pdf/1604.08269","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":"mag:2343285185","is_oa":true,"landing_page_url":"http://export.arxiv.org/pdf/1604.08269","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1604.08269","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1604.08269","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":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1604.08269","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1604.08269","pdf_url":"https://arxiv.org/pdf/1604.08269","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":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G3594869707","display_name":"Difference-of-Convex Convolutional Neural Networks (DC-CNN)","funder_award_id":"EP/P020658/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G5878972985","display_name":null,"funder_award_id":"FP7/2007\u20132013","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G6116254657","display_name":"Discrete Optimization in Computer Vision: Theory and Practice","funder_award_id":"616160","funder_id":"https://openalex.org/F4320338352","funder_display_name":"FP7 Ideas: European Research Council"},{"id":"https://openalex.org/G944445716","display_name":null,"funder_award_id":"TU/B/000048","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320321027","display_name":"Indo-French Centre for the Promotion of Advanced Research","ror":"https://ror.org/017aem598"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"},{"id":"https://openalex.org/F4320338352","display_name":"FP7 Ideas: European Research Council","ror":"https://ror.org/0472cxd90"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2343285185.pdf","grobid_xml":"https://content.openalex.org/works/W2343285185.grobid-xml"},"referenced_works_count":39,"referenced_works":["https://openalex.org/W905619","https://openalex.org/W6908809","https://openalex.org/W186258178","https://openalex.org/W1488428941","https://openalex.org/W1547701650","https://openalex.org/W1980264541","https://openalex.org/W2031248101","https://openalex.org/W2031489346","https://openalex.org/W2070771761","https://openalex.org/W2077906188","https://openalex.org/W2083905053","https://openalex.org/W2088049833","https://openalex.org/W2099119623","https://openalex.org/W2102605133","https://openalex.org/W2105644991","https://openalex.org/W2108598243","https://openalex.org/W2125993116","https://openalex.org/W2127176025","https://openalex.org/W2130306094","https://openalex.org/W2140634465","https://openalex.org/W2163084201","https://openalex.org/W2169852119","https://openalex.org/W2429914308","https://openalex.org/W2554683425","https://openalex.org/W2950967261","https://openalex.org/W2963789586","https://openalex.org/W3118608800","https://openalex.org/W4254968782","https://openalex.org/W6600284362","https://openalex.org/W6607690188","https://openalex.org/W6632694911","https://openalex.org/W6655329952","https://openalex.org/W6675079795","https://openalex.org/W6675760969","https://openalex.org/W6677938012","https://openalex.org/W6679349572","https://openalex.org/W6715998359","https://openalex.org/W6729653621","https://openalex.org/W6787972765"],"related_works":["https://openalex.org/W2964049460","https://openalex.org/W243098483","https://openalex.org/W2765694095","https://openalex.org/W2952023274","https://openalex.org/W3022893496","https://openalex.org/W2953780119","https://openalex.org/W3132820540","https://openalex.org/W2218302223","https://openalex.org/W2909326933","https://openalex.org/W2786807178","https://openalex.org/W2136688338","https://openalex.org/W2985140299","https://openalex.org/W2171743041","https://openalex.org/W1569358759","https://openalex.org/W2959233168","https://openalex.org/W3163588117","https://openalex.org/W1978380814","https://openalex.org/W2952992114","https://openalex.org/W1883843207","https://openalex.org/W3165975424"],"abstract_inverted_index":{"The":[0],"accuracy":[1],"of":[2,29,36,53,98,131,140,176,184,190,198,209],"information":[3],"retrieval":[4,38],"systems":[5],"is":[6,68,102],"often":[7],"measured":[8],"using":[9,85],"complex":[10],"loss":[11,46,55,81,133,142,160,195,202,224],"functions":[12,56,143],"such":[13],"as":[14],"the":[15,20,34,49,80,89,94,106,141,173,182,188,192],"average":[16],"precision":[17],"(AP)":[18],"or":[19,83],"normalized":[21],"discounted":[22],"cumulative":[23],"gain":[24],"(NDCG).":[25],"Given":[26],"a":[27,37,74,122,128,137,207,228],"set":[28],"positive":[30],"and":[31,51,150,157,200],"negative":[32],"samples,":[33],"parameters":[35],"system":[39],"can":[40,170],"be":[41],"estimated":[42],"by":[43,71,84],"minimizing":[44],"these":[45,54],"functions.":[47,134,161],"However,":[48],"non-differentiability":[50],"non-decomposability":[52],"does":[57],"not":[58],"allow":[59],"for":[60,104,127,203,206],"simple":[61],"gradient":[62],"based":[63,159,168],"optimization":[64],"algorithms.":[65],"This":[66],"issue":[67],"generally":[69],"circumvented":[70],"either":[72],"optimizing":[73,191],"structured":[75,193],"hinge-loss":[76],"upper":[77,196],"bound":[78,197],"to":[79,147],"function":[82],"asymptotic":[86],"methods":[87],"like":[88],"direct-loss":[90],"minimization":[91],"framework.":[92],"Yet,":[93],"high":[95],"computational":[96,174],"complexity":[97,175],"loss-augmented":[99],"inference,":[100],"which":[101],"necessary":[103],"both":[105,155],"frameworks,":[107],"prohibits":[108],"its":[109],"use":[110],"in":[111,187],"large":[112,129],"training":[113,230],"data":[114],"sets.":[115],"To":[116],"alleviate":[117],"this":[118],"deficiency,":[119],"we":[120,163],"present":[121],"novel":[123],"quicksort":[124],"flavored":[125],"algorithm":[126,169],"class":[130],"non-decomposable":[132],"We":[135,180,212],"provide":[136],"complete":[138],"characterization":[139],"that":[144,152,165,214],"are":[145],"amenable":[146],"our":[148,177,185,215],"algorithm,":[149],"show":[151,213],"it":[153],"includes":[154],"AP":[156,199],"NDCG":[158,201],"Furthermore,":[162],"prove":[164],"no":[166],"comparison":[167],"improve":[171],"upon":[172],"approach":[178,186,216],"asymptotically.":[179],"demonstrate":[181],"effectiveness":[183],"context":[189],"hinge":[194],"learning":[204],"models":[205],"variety":[208],"vision":[210],"tasks.":[211],"provides":[217],"significantly":[218],"better":[219],"results":[220],"than":[221],"simpler":[222],"decomposable":[223],"functions,":[225],"while":[226],"requiring":[227],"comparable":[229],"time.":[231]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":8},{"year":2020,"cited_by_count":8},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":1}],"updated_date":"2026-10-06T10:28:23.643775","created_date":"2025-10-10T00:00:00"}