{"id":"https://openalex.org/W7204622154","doi":"https://doi.org/10.48550/arxiv.2609.01635","title":"Discretization-free exact recovery in geometric community detection","display_name":"Discretization-free exact recovery in geometric community detection","publication_year":2026,"publication_date":"2026-08-23","ids":{"openalex":"https://openalex.org/W7204622154","doi":"https://doi.org/10.48550/arxiv.2609.01635"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.01635","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.01635","pdf_url":"https://arxiv.org/pdf/2609.01635","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2609.01635","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5148615308","display_name":"Maarten Hoeneveld","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hoeneveld, Maarten","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059007316","display_name":"Moritz Otto","orcid":"https://orcid.org/0009-0006-6146-3975","observed_orcids":["https://orcid.org/0009-0006-6146-3975"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Otto, Moritz","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5148608652","display_name":"Rapha\u00ebl Sala","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Sala, Rapha\u00ebl","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":true,"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/T10064","display_name":"Complex Network Analysis Techniques","score":0.9932000041007996,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9932000041007996,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10637","display_name":"Advanced Clustering Algorithms Research","score":0.0010999999940395355,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.0005000000237487257,"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/exact-recovery","display_name":"exact recovery","score":0.9409999847412109},{"id":"https://openalex.org/keywords/polynomial-time-algorithms","display_name":"polynomial-time algorithms","score":0.6019999980926514},{"id":"https://openalex.org/keywords/connectivity-functions","display_name":"connectivity functions","score":0.621999979019165}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6273999810218811},{"id":"https://openalex.org/C49777392","wikidata":"https://www.wikidata.org/wiki/Q5535495","display_name":"Geometric networks","level":3,"score":0.5860000252723694},{"id":"https://openalex.org/C123403432","wikidata":"https://www.wikidata.org/wiki/Q654068","display_name":"Visibility","level":2,"score":0.5249999761581421},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.5001000165939331},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48510000109672546},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.45329999923706055},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4221999943256378},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.35740000009536743},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.31940001249313354},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.31610000133514404},{"id":"https://openalex.org/C133079900","wikidata":"https://www.wikidata.org/wiki/Q5155065","display_name":"Community structure","level":2,"score":0.31540000438690186},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.29490000009536743},{"id":"https://openalex.org/C104065381","wikidata":"https://www.wikidata.org/wiki/Q1002535","display_name":"Geometric modeling","level":2,"score":0.29409998655319214},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.28850001096725464},{"id":"https://openalex.org/C148220186","wikidata":"https://www.wikidata.org/wiki/Q7111912","display_name":"Outcome (game theory)","level":2,"score":0.2793999910354614},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.27720001339912415},{"id":"https://openalex.org/C7305733","wikidata":"https://www.wikidata.org/wiki/Q207961","display_name":"Geometric shape","level":2,"score":0.27090001106262207},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.25279998779296875}],"mesh":[],"locations_count":4,"locations":[{"id":"pmh:oai:arXiv.org:2609.01635","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.01635","pdf_url":"https://arxiv.org/pdf/2609.01635","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2609.01635","doi":"https://doi.org/10.48550/arxiv.2609.01635","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.01635","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},{"id":"doi:10.5281/zenodo.22132860","doi":"https://doi.org/10.5281/zenodo.22132860","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.22132860","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},{"id":"doi:10.5281/zenodo.22132861","doi":"https://doi.org/10.5281/zenodo.22132861","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.22132861","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2609.01635","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.01635","pdf_url":"https://arxiv.org/pdf/2609.01635","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320929","display_name":"Universiteit Leiden","ror":"https://ror.org/027bh9e22"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7204622154.pdf","grobid_xml":"https://content.openalex.org/works/W7204622154.grobid-xml"},"referenced_works_count":5,"referenced_works":["https://openalex.org/W4390575948","https://openalex.org/W4392538223","https://openalex.org/W4403753460","https://openalex.org/W7117742071","https://openalex.org/W7125845844"],"related_works":["https://openalex.org/W7125845844","https://openalex.org/W4392538223","https://openalex.org/W4415368511","https://openalex.org/W4283448257","https://openalex.org/W7117742071","https://openalex.org/W4390575948","https://openalex.org/W3126852106","https://openalex.org/W3082018923","https://openalex.org/W3030402026","https://openalex.org/W4402579049"],"abstract_inverted_index":{"Geometric":[0,50],"community":[1,15],"detection":[2],"seeks":[3],"to":[4,88],"recover":[5],"latent":[6],"communities":[7,80],"in":[8,48],"networks":[9],"where":[10],"connectivity":[11,37,66,87],"depends":[12],"jointly":[13],"on":[14,35,57,69],"structure":[16],"and":[17,77,100],"continuous":[18,59],"spatial":[19],"geometry.":[20,60],"Existing":[21],"exact-recovery":[22],"approaches":[23],"typically":[24],"discretize":[25],"the":[26,36,49,58,105,109],"underlying":[27],"space,":[28],"which":[29],"can":[30,81],"impose":[31],"restrictive":[32],"structural":[33],"assumptions":[34],"functions.":[38],"We":[39,92],"develop":[40],"a":[41,70,89],"polynomial-time,":[42],"discretization-free":[43],"algorithm":[44,106],"for":[45],"exact":[46,94],"recovery":[47,95],"Hidden":[51],"Community":[52],"Model":[53],"(GHCM),":[54],"operating":[55],"directly":[56],"Our":[61],"method":[62],"succeeds":[63,107],"even":[64],"when":[65,78],"functions":[67],"coincide":[68],"nontrivial":[71],"portion":[72],"of":[73],"their":[74,86],"visibility":[75],"range":[76],"two":[79],"be":[82],"distinguished":[83],"only":[84],"through":[85],"third":[90],"community.":[91],"prove":[93],"under":[96],"these":[97],"weaker":[98],"conditions":[99],"provide":[101],"experiments":[102],"showing":[103],"that":[104],"beyond":[108],"theoretically":[110],"guaranteed":[111],"regime.":[112]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-08-30T00:00:00"}
