{"id":"https://openalex.org/W7162439977","doi":"https://doi.org/10.48550/arxiv.2605.24925","title":"Top-k Approximate Functional Dependency Discovery","display_name":"Top-k Approximate Functional Dependency Discovery","publication_year":2026,"publication_date":"2026-05-24","ids":{"openalex":"https://openalex.org/W7162439977","doi":"https://doi.org/10.48550/arxiv.2605.24925"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2605.24925","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.24925","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.2605.24925","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5137074706","display_name":"Xiaolong Wan","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Wan, Xiaolong","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5137034438","display_name":"Xixian Han","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Han, Xixian","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":0.9797999858856201,"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":0.9797999858856201,"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/T10764","display_name":"Privacy-Preserving Technologies in Data","score":0.0052999998442828655,"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/T10317","display_name":"Advanced Database Systems and Queries","score":0.0017999999690800905,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/pruning","display_name":"Pruning","score":0.722000002861023},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6832000017166138},{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.6401000022888184},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6259999871253967},{"id":"https://openalex.org/keywords/comparability","display_name":"Comparability","score":0.6208999752998352},{"id":"https://openalex.org/keywords/functional-dependency","display_name":"Functional dependency","score":0.5956000089645386},{"id":"https://openalex.org/keywords/dependency","display_name":"Dependency (UML)","score":0.5777000188827515}],"concepts":[{"id":"https://openalex.org/C108010975","wikidata":"https://www.wikidata.org/wiki/Q500094","display_name":"Pruning","level":2,"score":0.722000002861023},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6832000017166138},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.6401000022888184},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6259999871253967},{"id":"https://openalex.org/C197947376","wikidata":"https://www.wikidata.org/wiki/Q5155608","display_name":"Comparability","level":2,"score":0.6208999752998352},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6011999845504761},{"id":"https://openalex.org/C26320393","wikidata":"https://www.wikidata.org/wiki/Q597053","display_name":"Functional dependency","level":3,"score":0.5956000089645386},{"id":"https://openalex.org/C19768560","wikidata":"https://www.wikidata.org/wiki/Q320727","display_name":"Dependency (UML)","level":2,"score":0.5777000188827515},{"id":"https://openalex.org/C189430467","wikidata":"https://www.wikidata.org/wiki/Q7293293","display_name":"Ranking (information retrieval)","level":2,"score":0.5078999996185303},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.45879998803138733},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.41749998927116394},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3903999924659729},{"id":"https://openalex.org/C2779530757","wikidata":"https://www.wikidata.org/wiki/Q1207505","display_name":"Quality (philosophy)","level":2,"score":0.33889999985694885},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3287999927997589},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3041999936103821},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.2856999933719635},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.2800000011920929},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.2703000009059906},{"id":"https://openalex.org/C40683218","wikidata":"https://www.wikidata.org/wiki/Q5260625","display_name":"Dependency theory (database theory)","level":4,"score":0.26429998874664307},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.25859999656677246}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2605.24925","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.24925","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.2605.24925","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.24925","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":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.470596045255661}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Approximate":[0],"functional":[1,6],"dependencies":[2,7,26,70],"(AFDs)":[3],"relax":[4],"exact":[5,125,151],"by":[8,129],"tolerating":[9],"a":[10,28,83,89],"bounded":[11],"degree":[12],"of":[13,79,113],"violation,":[14],"making":[15],"them":[16],"suited":[17],"for":[18],"data":[19],"quality":[20],"auditing.":[21],"Threshold-based":[22],"discovery":[23],"returns":[24,123],"all":[25],"above":[27],"user-specified":[29],"cutoff,":[30],"but":[31],"output":[32,101],"size":[33],"is":[34,64],"uncontrollable,":[35],"the":[36,59,62,67,111,114,124],"right":[37],"threshold":[38],"varies":[39],"across":[40],"datasets,":[41],"and":[42,66,99,133,145,154,175],"widely":[43],"used":[44],"measures":[45],"are":[46,73],"sensitive":[47],"to":[48,173,180],"LHS":[49,60,142],"dimensionality.":[50],"We":[51,87,117],"study":[52],"global":[53,84,96,126],"top-$k$":[54,97,127],"AFD":[55],"discovery,":[56],"where":[57],"neither":[58],"nor":[61],"RHS":[63],"fixed":[65],"$k$":[68],"strongest":[69],"under":[71,105],"$\u03bc^+$":[72,80],"returned":[74],"directly.":[75],"The":[76],"cross-attribute":[77],"comparability":[78],"makes":[81],"such":[82],"ranking":[85],"well-defined.":[86],"prove":[88],"Triangle":[90],"Incompatibility":[91],"Theorem":[92],"showing":[93],"that":[94,167],"minimality,":[95],"ranking,":[98],"exact-$k$":[100],"cannot":[102],"simultaneously":[103],"hold":[104],"any":[106],"non-monotonic":[107],"scoring":[108],"function,":[109],"justifying":[110],"removal":[112],"minimality":[115],"requirement.":[116],"present":[118],"two":[119,146],"algorithms:":[120],"TALE-Base,":[121],"which":[122,135],"result":[128],"exhaustive":[130],"level-wise":[131],"evaluation,":[132],"TALE-Opt,":[134],"reduces":[136],"computation":[137,143],"through":[138],"Apriori-style":[139],"candidate":[140],"generation,":[141],"reuse,":[144],"complementary":[147],"pruning":[148,170],"rules":[149],"exploiting":[150],"FD":[152],"monotonicity":[153],"an":[155],"optimistic":[156],"upper":[157],"bound":[158],"on":[159,162],"$\u03bc^+$.":[160],"Experiments":[161],"41":[163],"real-world":[164],"datasets":[165],"show":[166],"TALE-Opt":[168],"achieves":[169],"ratios":[171],"up":[172,179],"99.81\\%":[174],"speedups":[176],"over":[177],"TALE-Base":[178],"78.81$\\times$.":[181]},"counts_by_year":[],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2026-05-27T00:00:00"}
