{"id":"https://openalex.org/W7138383206","doi":"https://doi.org/10.1609/aaai.v40i7.37505","title":"Marginalized Generalized IoU (MGIoU): A Unified Objective Function for Optimizing Convex Parametric Shapes","display_name":"Marginalized Generalized IoU (MGIoU): A Unified Objective Function for Optimizing Convex Parametric Shapes","publication_year":2026,"publication_date":"2026-03-14","ids":{"openalex":"https://openalex.org/W7138383206","doi":"https://doi.org/10.1609/aaai.v40i7.37505"},"language":"en","primary_location":{"id":"doi:10.1609/aaai.v40i7.37505","is_oa":true,"landing_page_url":"https://doi.org/10.1609/aaai.v40i7.37505","pdf_url":null,"source":{"id":"https://openalex.org/S4210191458","display_name":"Proceedings of the AAAI Conference on Artificial Intelligence","issn_l":"2159-5399","issn":["2159-5399","2374-3468"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320058","host_organization_name":"Association for the Advancement of Artificial Intelligence","host_organization_lineage":["https://openalex.org/P4310320058"],"host_organization_lineage_names":["Association for the Advancement of Artificial Intelligence"],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the AAAI Conference on Artificial Intelligence","raw_type":"journal-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.1609/aaai.v40i7.37505","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5029984344","display_name":"Duy-Tho Le","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Duy-Tho Le","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5129715520","display_name":"Trung Hieu Pham","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Trung Pham","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5129701873","display_name":"Jianfei Cai","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jianfei Cai","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5129650026","display_name":"Hamid Rezatofighi","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hamid Rezatofighi","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"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":"40","issue":"7","first_page":"5836","last_page":"5844"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10036","display_name":"Advanced Neural Network Applications","score":0.19269999861717224,"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"}},"topics":[{"id":"https://openalex.org/T10036","display_name":"Advanced Neural Network Applications","score":0.19269999861717224,"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"}},{"id":"https://openalex.org/T10586","display_name":"Robotic Path Planning Algorithms","score":0.09359999746084213,"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"}},{"id":"https://openalex.org/T10812","display_name":"Human Pose and Action Recognition","score":0.08089999854564667,"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/parametric-statistics","display_name":"Parametric statistics","score":0.7143999934196472},{"id":"https://openalex.org/keywords/intersection","display_name":"Intersection (aeronautics)","score":0.5785999894142151},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.5764999985694885},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5001000165939331},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.4878999888896942},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.459199994802475},{"id":"https://openalex.org/keywords/differentiable-function","display_name":"Differentiable function","score":0.4586000144481659},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4083000123500824},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.40720000863075256}],"concepts":[{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.7143999934196472},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.5785999894142151},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.5764999985694885},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5752999782562256},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5001000165939331},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.4878999888896942},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.459199994802475},{"id":"https://openalex.org/C202615002","wikidata":"https://www.wikidata.org/wiki/Q783507","display_name":"Differentiable function","level":2,"score":0.4586000144481659},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44760000705718994},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.438400000333786},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.43070000410079956},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4083000123500824},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.40720000863075256},{"id":"https://openalex.org/C99636146","wikidata":"https://www.wikidata.org/wiki/Q35889","display_name":"Parametric equation","level":2,"score":0.39010000228881836},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.3831999897956848},{"id":"https://openalex.org/C24574437","wikidata":"https://www.wikidata.org/wiki/Q7135228","display_name":"Parametric model","level":3,"score":0.375},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.352400004863739},{"id":"https://openalex.org/C29513896","wikidata":"https://www.wikidata.org/wiki/Q7489239","display_name":"Shape optimization","level":3,"score":0.31310001015663147},{"id":"https://openalex.org/C68781425","wikidata":"https://www.wikidata.org/wiki/Q2052203","display_name":"Multi-objective optimization","level":2,"score":0.3125},{"id":"https://openalex.org/C111110010","wikidata":"https://www.wikidata.org/wiki/Q2627315","display_name":"Convex combination","level":4,"score":0.2980000078678131},{"id":"https://openalex.org/C50862404","wikidata":"https://www.wikidata.org/wiki/Q3075259","display_name":"Proper convex function","level":5,"score":0.2944999933242798},{"id":"https://openalex.org/C103278499","wikidata":"https://www.wikidata.org/wiki/Q254465","display_name":"Similarity (geometry)","level":3,"score":0.2856000065803528},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.2759000062942505},{"id":"https://openalex.org/C79187972","wikidata":"https://www.wikidata.org/wiki/Q2654791","display_name":"Conic optimization","level":5,"score":0.2694999873638153},{"id":"https://openalex.org/C12108790","wikidata":"https://www.wikidata.org/wiki/Q2234833","display_name":"Convex analysis","level":4,"score":0.2685999870300293},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.26669999957084656},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.2583000063896179},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.2531999945640564}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1609/aaai.v40i7.37505","is_oa":true,"landing_page_url":"https://doi.org/10.1609/aaai.v40i7.37505","pdf_url":null,"source":{"id":"https://openalex.org/S4210191458","display_name":"Proceedings of the AAAI Conference on Artificial Intelligence","issn_l":"2159-5399","issn":["2159-5399","2374-3468"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320058","host_organization_name":"Association for the Advancement of Artificial Intelligence","host_organization_lineage":["https://openalex.org/P4310320058"],"host_organization_lineage_names":["Association for the Advancement of Artificial Intelligence"],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the AAAI Conference on Artificial Intelligence","raw_type":"journal-article"},{"id":"pmh:oai:ojs.aaai.org:article/37505","is_oa":false,"landing_page_url":"https://ojs.aaai.org/index.php/AAAI/article/view/37505","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"2159-5399","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1609/aaai.v40i7.37505","is_oa":true,"landing_page_url":"https://doi.org/10.1609/aaai.v40i7.37505","pdf_url":null,"source":{"id":"https://openalex.org/S4210191458","display_name":"Proceedings of the AAAI Conference on Artificial Intelligence","issn_l":"2159-5399","issn":["2159-5399","2374-3468"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320058","host_organization_name":"Association for the Advancement of Artificial Intelligence","host_organization_lineage":["https://openalex.org/P4310320058"],"host_organization_lineage_names":["Association for the Advancement of Artificial Intelligence"],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the AAAI Conference on Artificial Intelligence","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.7307380437850952}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Optimizing":[0],"the":[1,20,61,84],"similarity":[2],"between":[3],"parametric":[4,65,85,147],"shapes":[5,108],"is":[6],"crucial":[7],"for":[8,192],"numerous":[9],"computer":[10],"vision":[11],"tasks,":[12],"where":[13],"Intersection":[14],"over":[15],"Union":[16],"(IoU)":[17],"stands":[18],"as":[19,184],"canonical":[21],"measure.":[22],"However,":[23],"existing":[24],"optimization":[25,87,149],"methods":[26,49],"exhibit":[27],"significant":[28],"shortcomings:":[29],"regression-based":[30],"losses":[31,39],"like":[32,197],"L1/L2":[33],"lack":[34],"correlation":[35],"with":[36,72,129],"IoU,":[37],"IoU-based":[38],"are":[40,50],"unstable":[41],"and":[42,47,53,144,160,175,180],"limited":[43],"to":[44,114,134,171],"simple":[45],"shapes,":[46],"task-specific":[48],"computationally":[51],"intensive":[52],"not":[54],"generalizable":[55],"across":[56,150],"domains.":[57],"As":[58],"a":[59,96,121],"result,":[60],"current":[62],"landscape":[63],"of":[64],"shape":[66,86,112,148],"objective":[67,88,186],"functions":[68,89],"has":[69],"become":[70],"scattered,":[71],"each":[73],"domain":[74],"proposing":[75],"distinct":[76],"IoU":[77,94],"approximations.":[78],"To":[79],"address":[80],"this,":[81],"we":[82],"unify":[83,146],"by":[90,104],"introducing":[91],"Marginalized":[92],"Generalized":[93],"(MGIoU),":[95],"novel":[97],"loss":[98,167],"function":[99],"that":[100,136,158],"overcomes":[101],"these":[102],"challenges":[103],"projecting":[105],"structured":[106],"convex":[107,140],"onto":[109],"their":[110],"unique":[111],"Normals":[113],"compute":[115],"one-dimensional":[116],"normalized":[117],"GIoU.":[118],"MGIoU":[119,133,143,159,174],"offers":[120],"simple,":[122],"efficient,":[123],"fully":[124],"differentiable":[125],"approximation":[126],"strongly":[127],"correlated":[128],"IoU.":[130],"We":[131,188],"extend":[132],"MGIoU+":[135,145,161,176],"supports":[137],"optimizing":[138],"unstructured":[139],"shapes.":[141],"Together,":[142],"diverse":[151],"applications.":[152],"Experiments":[153],"on":[154],"standard":[155],"benchmarks":[156],"demonstrate":[157,162],"higher":[163],"performance":[164],"while":[165],"reducing":[166],"computation":[168],"latency":[169],"up":[170],"10-40x.":[172],"Also,":[173],"satisfy":[177],"metric":[178],"properties":[179],"scale-invariance,":[181],"ensuring":[182],"robustness":[183],"an":[185],"function.":[187],"further":[189],"propose":[190],"MGIoU-":[191],"minimizing":[193],"overlaps":[194],"in":[195],"tasks":[196],"collision-free":[198],"trajectory":[199],"prediction.":[200]},"counts_by_year":[],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2026-03-18T00:00:00"}