{"id":"https://openalex.org/W7125903714","doi":"https://doi.org/10.48550/arxiv.2601.19671","title":"Topology-Aware Subset Repair via Entropy-Guided Density and Graph Decomposition","display_name":"Topology-Aware Subset Repair via Entropy-Guided Density and Graph Decomposition","publication_year":2026,"publication_date":"2026-01-27","ids":{"openalex":"https://openalex.org/W7125903714","doi":"https://doi.org/10.48550/arxiv.2601.19671"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2601.19671","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2601.19671","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.2601.19671","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5124110522","display_name":"Guoqi Zhao","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Zhao, Guoqi","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5120047531","display_name":"Xixian Han","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Han, Xixian","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5124119246","display_name":"Xiaolong Wan","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Wan, Xiaolong","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/T11719","display_name":"Data Quality and Management","score":0.8794999718666077,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T11719","display_name":"Data Quality and Management","score":0.8794999718666077,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11273","display_name":"Advanced Graph Neural Networks","score":0.055399999022483826,"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/T14347","display_name":"Big Data and Digital Economy","score":0.006599999964237213,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.529699981212616},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.5069000124931335},{"id":"https://openalex.org/keywords/scalability","display_name":"Scalability","score":0.5067999958992004},{"id":"https://openalex.org/keywords/ambiguity","display_name":"Ambiguity","score":0.4787999987602234},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.3982999920845032},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.34439998865127563},{"id":"https://openalex.org/keywords/functional-dependency","display_name":"Functional dependency","score":0.32899999618530273},{"id":"https://openalex.org/keywords/graph-theory","display_name":"Graph theory","score":0.30660000443458557}],"concepts":[{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.529699981212616},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.5069000124931335},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.5067999958992004},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48100000619888306},{"id":"https://openalex.org/C2780522230","wikidata":"https://www.wikidata.org/wiki/Q1140419","display_name":"Ambiguity","level":2,"score":0.4787999987602234},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.43369999527931213},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4187999963760376},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3982999920845032},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.39739999175071716},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3792000114917755},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.359499990940094},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.34439998865127563},{"id":"https://openalex.org/C26320393","wikidata":"https://www.wikidata.org/wiki/Q597053","display_name":"Functional dependency","level":3,"score":0.32899999618530273},{"id":"https://openalex.org/C88230418","wikidata":"https://www.wikidata.org/wiki/Q131476","display_name":"Graph theory","level":2,"score":0.30660000443458557},{"id":"https://openalex.org/C73301696","wikidata":"https://www.wikidata.org/wiki/Q5469984","display_name":"Formalism (music)","level":3,"score":0.30489999055862427},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.2854999899864197},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.28540000319480896},{"id":"https://openalex.org/C2781221856","wikidata":"https://www.wikidata.org/wiki/Q840247","display_name":"Hypergraph","level":2,"score":0.27869999408721924},{"id":"https://openalex.org/C112313634","wikidata":"https://www.wikidata.org/wiki/Q7886648","display_name":"Complement (music)","level":5,"score":0.27549999952316284},{"id":"https://openalex.org/C739882","wikidata":"https://www.wikidata.org/wiki/Q3560506","display_name":"Anomaly detection","level":2,"score":0.27379998564720154},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.2603999972343445},{"id":"https://openalex.org/C37404715","wikidata":"https://www.wikidata.org/wiki/Q380679","display_name":"Dynamic programming","level":2,"score":0.2574999928474426},{"id":"https://openalex.org/C171752962","wikidata":"https://www.wikidata.org/wiki/Q255166","display_name":"Kullback\u2013Leibler divergence","level":2,"score":0.2540999948978424},{"id":"https://openalex.org/C142259097","wikidata":"https://www.wikidata.org/wiki/Q5891314","display_name":"Homogeneity (statistics)","level":2,"score":0.25189998745918274}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2601.19671","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2601.19671","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.2601.19671","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2601.19671","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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Subset":[0],"repair":[1,64,157,190],"is":[2,43,125,149],"an":[3],"important":[4],"data":[5,38],"cleaning":[6],"technique":[7],"that":[8,34,104,186],"enforces":[9],"integrity":[10],"constraints":[11],"by":[12,31,45,141],"deleting":[13],"a":[14,60,68,80,101,121,132,171,176],"minimal":[15,22],"number":[16],"of":[17,144],"conflicting":[18],"tuples,":[19],"yet":[20],"multiple":[21],"repairs":[23,33],"often":[24],"exist.":[25],"Density-based":[26],"methods":[27],"address":[28],"this":[29,164],"ambiguity":[30],"favoring":[32],"preserve":[35],"dense,":[36],"high-quality":[37,197],"regions;":[39],"however,":[40],"their":[41],"effectiveness":[42],"limited":[44],"density":[46,102],"bias":[47],"from":[48],"dirty":[49],"clusters,":[50],"high":[51],"computational":[52],"cost,":[53],"and":[54,108,116,174,192],"uniform":[55],"attribute":[56,86,114],"weighting.":[57],"We":[58],"propose":[59],"topology-aware":[61],"approximate":[62],"subset":[63],"framework":[65,74],"based":[66],"on":[67,163],"joint":[69],"density-conflict":[70],"penalty":[71,134],"model.":[72],"The":[73,146],"integrates":[75],"three":[76],"key":[77],"components.":[78],"First,":[79],"two-layer":[81],"conflict":[82,122,147],"detection":[83],"strategy":[84],"combines":[85],"inverted":[87],"indexes":[88],"with":[89,136,180],"CFD":[90,109],"rule":[91],"grouping":[92],"to":[93,111,127],"efficiently":[94],"identify":[95],"violations.":[96],"Second,":[97],"we":[98,166],"introduce":[99],"EntroCFDensity,":[100],"metric":[103],"incorporates":[105],"information":[106],"entropy":[107],"weights":[110],"dynamically":[112],"adjust":[113],"importance":[115],"reduce":[117],"homogeneity":[118],"bias.":[119],"Third,":[120],"degree":[123],"measure":[124],"defined":[126],"complement":[128],"local":[129,160],"density,":[130],"enabling":[131],"topology-adaptive":[133],"mechanism":[135],"dynamic":[137],"weight":[138],"allocation":[139],"guided":[140],"the":[142],"coefficient":[143],"variation.":[145],"graph":[148],"further":[150],"decomposed":[151],"into":[152,158],"independent":[153],"subgraphs,":[154],"transforming":[155],"global":[156],"tractable":[159],"subproblems.":[161],"Based":[162],"framework,":[165],"develop":[167],"two":[168],"algorithms:":[169],"PPIS,":[170],"scalable":[172],"heuristic,":[173],"MICO,":[175],"mixed-integer":[177],"programming":[178],"method":[179],"theoretical":[181],"guarantees.":[182],"Experimental":[183],"results":[184],"show":[185],"our":[187],"approach":[188],"improves":[189],"accuracy":[191],"robustness":[193],"while":[194],"effectively":[195],"preserving":[196],"data.":[198]},"counts_by_year":[],"updated_date":"2026-08-16T07:02:28.622633","created_date":"2026-01-29T00:00:00"}
