{"id":"https://openalex.org/W7161715207","doi":"https://doi.org/10.48550/arxiv.2605.17492","title":"Finding the Balance Rate of Uncertain Signed Graphs","display_name":"Finding the Balance Rate of Uncertain Signed Graphs","publication_year":2026,"publication_date":"2026-05-17","ids":{"openalex":"https://openalex.org/W7161715207","doi":"https://doi.org/10.48550/arxiv.2605.17492"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2605.17492","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.17492","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,"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":false,"raw_source_name":null,"raw_type":"Preprint"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2605.17492","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5136466678","display_name":"Zeyu Wang","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Wang, Zeyu","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5136476518","display_name":"Kudria Sergei","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Sergei, Kudria","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5136463597","display_name":"Jingbang Chen","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Chen, Jingbang","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5136471012","display_name":"Jiawei Chen","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Chen, Jiawei","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5136498990","display_name":"Xinyu Wang","orcid":"https://orcid.org/0000-0003-4143-334X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Wang, Xinyu","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029510051","display_name":"Xiaodong Luo","orcid":"https://orcid.org/0000-0002-0734-862X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Luo, Xiaodong","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5136478264","display_name":"Can Wang","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Wang, Can","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/T11273","display_name":"Advanced Graph Neural Networks","score":0.5271999835968018,"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"}},"topics":[{"id":"https://openalex.org/T11273","display_name":"Advanced Graph Neural Networks","score":0.5271999835968018,"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/T10064","display_name":"Complex Network Analysis Techniques","score":0.17470000684261322,"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/T12292","display_name":"Graph Theory and Algorithms","score":0.14059999585151672,"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/estimator","display_name":"Estimator","score":0.6312999725341797},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.5371999740600586},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5148000121116638},{"id":"https://openalex.org/keywords/balance","display_name":"Balance (ability)","score":0.46650001406669617},{"id":"https://openalex.org/keywords/scalability","display_name":"Scalability","score":0.46239998936653137},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.4408000111579895},{"id":"https://openalex.org/keywords/signed-graph","display_name":"Signed graph","score":0.40869998931884766},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.3686999976634979}],"concepts":[{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.6312999725341797},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.5371999740600586},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5148000121116638},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4796000123023987},{"id":"https://openalex.org/C168031717","wikidata":"https://www.wikidata.org/wiki/Q1530280","display_name":"Balance (ability)","level":2,"score":0.46650001406669617},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.46239998936653137},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45419999957084656},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.4408000111579895},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4253999888896942},{"id":"https://openalex.org/C2779773260","wikidata":"https://www.wikidata.org/wiki/Q11246292","display_name":"Signed graph","level":3,"score":0.40869998931884766},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3686999976634979},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.3456000089645386},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3264999985694885},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.3253999948501587},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.29660001397132874},{"id":"https://openalex.org/C174348530","wikidata":"https://www.wikidata.org/wiki/Q188635","display_name":"Bridging (networking)","level":2,"score":0.2953000068664551},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2924000024795532},{"id":"https://openalex.org/C198531522","wikidata":"https://www.wikidata.org/wiki/Q485146","display_name":"Sample (material)","level":2,"score":0.28999999165534973},{"id":"https://openalex.org/C88230418","wikidata":"https://www.wikidata.org/wiki/Q131476","display_name":"Graph theory","level":2,"score":0.28850001096725464},{"id":"https://openalex.org/C146380142","wikidata":"https://www.wikidata.org/wiki/Q1137726","display_name":"Directed graph","level":2,"score":0.2808000147342682},{"id":"https://openalex.org/C188198153","wikidata":"https://www.wikidata.org/wiki/Q1613840","display_name":"Limiting","level":2,"score":0.2773999869823456},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.27219998836517334},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.26969999074935913},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.26080000400543213}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2605.17492","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.17492","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,"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":"doi:10.48550/arxiv.2605.17492","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.17492","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,"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":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[{"score":0.5102931261062622,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Signed":[0],"graphs":[1],"are":[2],"widely":[3],"used":[4],"to":[5,52],"analyze":[6],"complex":[7],"systems":[8],"such":[9],"as":[10],"social,":[11],"political,":[12],"and":[13,77,110,131],"biological":[14],"networks.":[15],"The":[16],"notion":[17],"of":[18,23,29,62,71,133],"balance,":[19],"a":[20,65,94],"key":[21],"concept":[22,61],"signed":[24,75,142],"graphs,":[25,39,76],"reflects":[26],"the":[27,60,69,86,121,129],"stability":[28],"relationships.":[30],"While":[31],"it":[32,81],"has":[33],"been":[34],"extensively":[35],"studied":[36],"in":[37,45,73,140],"deterministic":[38],"real-world":[40,126],"networks":[41],"often":[42],"exhibit":[43],"uncertainty":[44],"their":[46],"connections,":[47],"which":[48],"traditional":[49],"approaches":[50],"struggle":[51],"address.":[53],"To":[54],"bridge":[55],"this":[56],"gap,":[57],"we":[58],"introduce":[59],"balance":[63,72,138],"rate,":[64],"metric":[66],"for":[67,88],"quantifying":[68],"degree":[70],"uncertain":[74,141],"prove":[78],"that":[79,99],"computing":[80],"exactly":[82],"is":[83],"NP-hard,":[84],"motivating":[85],"need":[87],"efficient":[89],"estimation":[90],"methods.":[91],"We":[92,113],"propose":[93],"novel":[95],"Rao-Blackwellized":[96],"spanning-tree":[97],"estimator":[98],"achieves":[100],"near-linear":[101],"time":[102],"complexity":[103],"per":[104],"sample":[105],"by":[106],"leveraging":[107],"graph":[108],"decomposition":[109],"structural":[111],"properties.":[112],"also":[114],"construct":[115],"asymptotically":[116],"justified":[117],"confidence":[118],"intervals":[119],"using":[120],"Delta":[122],"method.":[123],"Experiments":[124],"on":[125],"datasets":[127],"demonstrate":[128],"efficiency":[130],"effectiveness":[132],"our":[134],"approach,":[135],"enabling":[136],"scalable":[137],"analysis":[139],"graphs.":[143]},"counts_by_year":[],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2026-05-20T00:00:00"}