{"id":"https://openalex.org/W7138289408","doi":"https://doi.org/10.48550/arxiv.2603.14022","title":"A Hyperbolic Perspective on Hierarchical Structure in Object-Centric Scene Representations","display_name":"A Hyperbolic Perspective on Hierarchical Structure in Object-Centric Scene Representations","publication_year":2026,"publication_date":"2026-03-14","ids":{"openalex":"https://openalex.org/W7138289408","doi":"https://doi.org/10.48550/arxiv.2603.14022"},"language":"en","primary_location":{"id":"pmh:oai:pure.atira.dk:openaire/83ec3e7d-a46b-4e87-9e8d-0a7ea040db9d","is_oa":true,"landing_page_url":"https://vbn.aau.dk/da/publications/83ec3e7d-a46b-4e87-9e8d-0a7ea040db9d","pdf_url":null,"source":{"id":"https://openalex.org/S4306401731","display_name":"VBN Forskningsportal (Aalborg Universitet)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I891191580","host_organization_name":"Aalborg University","host_organization_lineage":["https://openalex.org/I891191580"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Madan, N, Pujol Vidal, A, M\u00f8gelmose, A, Escalera Guerrero, S, Nasrollahi, K, Taylor, G W & Moeslund, T B 2026, A Hyperbolic Perspective on Hierarchical Structure in Object-Centric Scene Representations. in Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR) Workshops. < https://openaccess.thecvf.com/content/CVPR2026W/PVUW/papers/Madan_A_Hyperbolic_Perspective_on_Hierarchical_Structure_in_Object-Centric_Scene_Representations_CVPRW_2026_paper.pdf >","raw_type":"info:eu-repo/semantics/conferenceObject"},"type":"conference-paper","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://vbn.aau.dk/da/publications/83ec3e7d-a46b-4e87-9e8d-0a7ea040db9d","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5089591955","display_name":"Neelu Madan","orcid":"https://orcid.org/0000-0001-5778-3470"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Madan, Neelu","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089259992","display_name":"Alex Pujol","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Pujol, \u00c0lex","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031425563","display_name":"Andreas M\u00f8gelmose","orcid":"https://orcid.org/0000-0003-0328-382X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"M\u00f8gelmose, Andreas","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5129728290","display_name":"Sergio Escalera","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Escalera, Sergio","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5129739840","display_name":"Kamal Nasrollahi","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Nasrollahi, Kamal","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102922725","display_name":"Graham W. Taylor","orcid":"https://orcid.org/0000-0001-5867-3652"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Taylor, Graham W.","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5129676776","display_name":"Thomas B. Moeslund","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Moeslund, Thomas B.","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":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11094","display_name":"Face Recognition and Perception","score":0.1354999989271164,"subfield":{"id":"https://openalex.org/subfields/2805","display_name":"Cognitive Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T11094","display_name":"Face Recognition and Perception","score":0.1354999989271164,"subfield":{"id":"https://openalex.org/subfields/2805","display_name":"Cognitive Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T11448","display_name":"Face recognition and analysis","score":0.13249999284744263,"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/T11307","display_name":"Domain Adaptation and Few-Shot Learning","score":0.10320000350475311,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/euclidean-geometry","display_name":"Euclidean geometry","score":0.6797000169754028},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.5713000297546387},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.5464000105857849},{"id":"https://openalex.org/keywords/curvature","display_name":"Curvature","score":0.4876999855041504},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.4528999924659729},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.44940000772476196},{"id":"https://openalex.org/keywords/pipeline","display_name":"Pipeline (software)","score":0.42820000648498535},{"id":"https://openalex.org/keywords/hyperbolic-space","display_name":"Hyperbolic space","score":0.4268999993801117},{"id":"https://openalex.org/keywords/hierarchy","display_name":"Hierarchy","score":0.4075999855995178},{"id":"https://openalex.org/keywords/hyperboloid","display_name":"Hyperboloid","score":0.38989999890327454}],"concepts":[{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.6797000169754028},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.5713000297546387},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.5464000105857849},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.4876999855041504},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47110000252723694},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.46560001373291016},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.4528999924659729},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.44940000772476196},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.428600013256073},{"id":"https://openalex.org/C43521106","wikidata":"https://www.wikidata.org/wiki/Q2165493","display_name":"Pipeline (software)","level":2,"score":0.42820000648498535},{"id":"https://openalex.org/C83677898","wikidata":"https://www.wikidata.org/wiki/Q1878538","display_name":"Hyperbolic space","level":2,"score":0.4268999993801117},{"id":"https://openalex.org/C31170391","wikidata":"https://www.wikidata.org/wiki/Q188619","display_name":"Hierarchy","level":2,"score":0.4075999855995178},{"id":"https://openalex.org/C99564226","wikidata":"https://www.wikidata.org/wiki/Q505628","display_name":"Hyperboloid","level":2,"score":0.38989999890327454},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.38659998774528503},{"id":"https://openalex.org/C36464697","wikidata":"https://www.wikidata.org/wiki/Q451553","display_name":"Visualization","level":2,"score":0.3813000023365021},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.3774000108242035},{"id":"https://openalex.org/C206352148","wikidata":"https://www.wikidata.org/wiki/Q209306","display_name":"Hyperbolic geometry","level":3,"score":0.3465999960899353},{"id":"https://openalex.org/C2777402240","wikidata":"https://www.wikidata.org/wiki/Q6783436","display_name":"Masking (illustration)","level":2,"score":0.32899999618530273},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.31690001487731934},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.3138999938964844},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.3075999915599823},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3052000105381012},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2957000136375427},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.2883000075817108},{"id":"https://openalex.org/C65909025","wikidata":"https://www.wikidata.org/wiki/Q1945033","display_name":"Monocular","level":2,"score":0.28450000286102295},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.2824000120162964},{"id":"https://openalex.org/C70984080","wikidata":"https://www.wikidata.org/wiki/Q2619102","display_name":"Hyperbolic manifold","level":3,"score":0.2808000147342682},{"id":"https://openalex.org/C120174047","wikidata":"https://www.wikidata.org/wiki/Q847073","display_name":"Euclidean distance","level":2,"score":0.28040000796318054},{"id":"https://openalex.org/C184337299","wikidata":"https://www.wikidata.org/wiki/Q1437428","display_name":"Semantics (computer science)","level":2,"score":0.2734000086784363},{"id":"https://openalex.org/C10784197","wikidata":"https://www.wikidata.org/wiki/Q233858","display_name":"Non-Euclidean geometry","level":3,"score":0.27300000190734863},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.27230000495910645},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.267300009727478},{"id":"https://openalex.org/C12713177","wikidata":"https://www.wikidata.org/wiki/Q1900281","display_name":"Perspective (graphical)","level":2,"score":0.26660001277923584},{"id":"https://openalex.org/C97654310","wikidata":"https://www.wikidata.org/wiki/Q574023","display_name":"Hyperbolic tree","level":4,"score":0.2635999917984009}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:pure.atira.dk:openaire/83ec3e7d-a46b-4e87-9e8d-0a7ea040db9d","is_oa":true,"landing_page_url":"https://vbn.aau.dk/da/publications/83ec3e7d-a46b-4e87-9e8d-0a7ea040db9d","pdf_url":null,"source":{"id":"https://openalex.org/S4306401731","display_name":"VBN Forskningsportal (Aalborg Universitet)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I891191580","host_organization_name":"Aalborg University","host_organization_lineage":["https://openalex.org/I891191580"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Madan, N, Pujol Vidal, A, M\u00f8gelmose, A, Escalera Guerrero, S, Nasrollahi, K, Taylor, G W & Moeslund, T B 2026, A Hyperbolic Perspective on Hierarchical Structure in Object-Centric Scene Representations. in Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR) Workshops. < https://openaccess.thecvf.com/content/CVPR2026W/PVUW/papers/Madan_A_Hyperbolic_Perspective_on_Hierarchical_Structure_in_Object-Centric_Scene_Representations_CVPRW_2026_paper.pdf >","raw_type":"info:eu-repo/semantics/conferenceObject"},{"id":"doi:10.48550/arxiv.2603.14022","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.14022","pdf_url":null,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:pure.atira.dk:openaire/83ec3e7d-a46b-4e87-9e8d-0a7ea040db9d","is_oa":true,"landing_page_url":"https://vbn.aau.dk/da/publications/83ec3e7d-a46b-4e87-9e8d-0a7ea040db9d","pdf_url":null,"source":{"id":"https://openalex.org/S4306401731","display_name":"VBN Forskningsportal (Aalborg Universitet)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I891191580","host_organization_name":"Aalborg University","host_organization_lineage":["https://openalex.org/I891191580"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Madan, N, Pujol Vidal, A, M\u00f8gelmose, A, Escalera Guerrero, S, Nasrollahi, K, Taylor, G W & Moeslund, T B 2026, A Hyperbolic Perspective on Hierarchical Structure in Object-Centric Scene Representations. in Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR) Workshops. < https://openaccess.thecvf.com/content/CVPR2026W/PVUW/papers/Madan_A_Hyperbolic_Perspective_on_Hierarchical_Structure_in_Object-Centric_Scene_Representations_CVPRW_2026_paper.pdf >","raw_type":"info:eu-repo/semantics/conferenceObject"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Slot":[0],"attention":[1,90],"has":[2],"emerged":[3],"as":[4,190],"a":[5,16,27,60,124,149,191],"powerful":[6],"framework":[7],"for":[8,46],"unsupervised":[9],"object-centric":[10],"learning,":[11],"decomposing":[12],"visual":[13,53,85],"scenes":[14],"into":[15],"small":[17],"set":[18],"of":[19,73],"compact":[20],"vector":[21],"representations":[22,177],"called":[23],"\\emph{slots},":[24],"each":[25],"capturing":[26],"distinct":[28],"region":[29],"or":[30,156],"object.":[31],"However,":[32],"these":[33,172],"slots":[34,132],"are":[35,198],"learned":[36],"in":[37,104,143],"Euclidean":[38,66,105,144,158],"space,":[39,75],"which":[40,140],"provides":[41],"no":[42],"geometric":[43],"inductive":[44],"bias":[45],"the":[47,70,78],"hierarchical":[48,99],"relationships":[49],"that":[50,101,120,175,182],"naturally":[51],"structure":[52,100],"scenes.":[54],"In":[55],"this":[56],"work,":[57],"we":[58],"propose":[59],"simple":[61],"post-hoc":[62],"pipeline":[63,109],"to":[64,127],"project":[65],"slot":[67,89,161,176],"embeddings":[68],"onto":[69],"Lorentz":[71],"hyperboloid":[72],"hyperbolic":[74,95,121,183,188],"without":[76],"modifying":[77],"underlying":[79],"training":[80,189],"pipeline.":[81],"We":[82,118,146],"construct":[83],"five-level":[84],"hierarchies":[86],"directly":[87],"from":[88],"masks":[91],"and":[92,115,196],"analyse":[93],"whether":[94],"geometry":[96,184],"reveals":[97],"latent":[98,180],"remains":[102],"invisible":[103],"space.":[106,145],"Integrating":[107],"our":[108],"with":[110],"SPOT":[111],"(images),":[112],"VideoSAUR":[113],"(video),":[114,117],"SlotContrast":[116],"find":[119],"projection":[122],"exposes":[123],"consistent":[125],"scene-level":[126],"object-level":[128],"organisation,":[129],"where":[130],"coarse":[131],"occupy":[133],"greater":[134],"manifold":[135],"depth":[136],"than":[137],"fine":[138],"slots,":[139],"is":[141],"absent":[142],"further":[147],"identify":[148],"\"curvature--task":[150],"tradeoff\":":[151],"low":[152],"curvature":[153,165],"($c{=}0.2$)":[154],"matches":[155],"outperforms":[157],"on":[159],"parent":[160],"retrieval,":[162],"while":[163],"moderate":[164],"($c{=}0.5$)":[166],"achieves":[167],"better":[168],"inter-level":[169],"separation.":[170],"Together,":[171],"findings":[173],"suggest":[174],"already":[178],"encode":[179],"hierarchy":[181],"reveals,":[185],"motivating":[186],"end-to-end":[187],"natural":[192],"next":[193],"step.":[194],"Code":[195],"models":[197],"available":[199],"at":[200],"\\href{https://github.com/NeeluMadan/HHS}{github.com/NeeluMadan/HHS}.":[201]},"counts_by_year":[],"updated_date":"2026-07-15T18:14:33.161393","created_date":"2026-03-18T00:00:00"}