{"id":"https://openalex.org/W7161575624","doi":"https://doi.org/10.1145/3802085","title":"Mathematical Foundations of Poisoning Attacks on Linear Regression over Cumulative Distribution Functions","display_name":"Mathematical Foundations of Poisoning Attacks on Linear Regression over Cumulative Distribution Functions","publication_year":2026,"publication_date":"2026-05-18","ids":{"openalex":"https://openalex.org/W7161575624","doi":"https://doi.org/10.1145/3802085"},"language":"en","primary_location":{"id":"doi:10.1145/3802085","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3802085","pdf_url":null,"source":{"id":"https://openalex.org/S4387289859","display_name":"Proceedings of the ACM on Management of Data","issn_l":"2836-6573","issn":["2836-6573"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the ACM on Management of Data","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://pure.itu.dk/portal/da/publications/7f8c0440-cecd-42d9-8a7b-5977072fdebd","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5045260976","display_name":"A SATO","orcid":null},"institutions":[{"id":"https://openalex.org/I74801974","display_name":"The University of Tokyo","ror":"https://ror.org/057zh3y96","country_code":"JP","type":"education","lineage":["https://openalex.org/I74801974"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Atsuki Sato","raw_affiliation_strings":["The University of Tokyo, Tokyo, Japan"],"raw_orcid":"https://orcid.org/0009-0001-5366-4842","affiliations":[{"raw_affiliation_string":"The University of Tokyo, Tokyo, Japan","institution_ids":["https://openalex.org/I74801974"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072434673","display_name":"Martin Aum\u00fcller","orcid":"https://orcid.org/0000-0002-7212-6476"},"institutions":[{"id":"https://openalex.org/I83467386","display_name":"IT University of Copenhagen","ror":"https://ror.org/02309jg23","country_code":"DK","type":"education","lineage":["https://openalex.org/I83467386"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"Martin Aum\u00fcller","raw_affiliation_strings":["IT University of Copenhagen, Copenhagen, Denmark"],"raw_orcid":"https://orcid.org/0000-0002-7212-6476","affiliations":[{"raw_affiliation_string":"IT University of Copenhagen, Copenhagen, Denmark","institution_ids":["https://openalex.org/I83467386"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103144232","display_name":"Yusuke Matsui","orcid":"https://orcid.org/0000-0003-3977-4313"},"institutions":[{"id":"https://openalex.org/I74801974","display_name":"The University of Tokyo","ror":"https://ror.org/057zh3y96","country_code":"JP","type":"education","lineage":["https://openalex.org/I74801974"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Yusuke Matsui","raw_affiliation_strings":["The University of Tokyo, Tokyo, Japan"],"raw_orcid":"https://orcid.org/0000-0003-1529-0154","affiliations":[{"raw_affiliation_string":"The University of Tokyo, Tokyo, Japan","institution_ids":["https://openalex.org/I74801974"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.63149245,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"4","issue":"3","first_page":"1","last_page":"25"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11719","display_name":"Data Quality and Management","score":0.21250000596046448,"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":0.21250000596046448,"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/T11689","display_name":"Adversarial Robustness in Machine Learning","score":0.1834000051021576,"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/T10764","display_name":"Privacy-Preserving Technologies in Data","score":0.07670000195503235,"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/linear-regression","display_name":"Linear regression","score":0.505299985408783},{"id":"https://openalex.org/keywords/regression","display_name":"Regression","score":0.4984999895095825},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.4496999979019165},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.44029998779296875},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4271000027656555},{"id":"https://openalex.org/keywords/regression-analysis","display_name":"Regression analysis","score":0.41940000653266907},{"id":"https://openalex.org/keywords/greedy-algorithm","display_name":"Greedy algorithm","score":0.4115000069141388},{"id":"https://openalex.org/keywords/index","display_name":"Index (typography)","score":0.4099999964237213}],"concepts":[{"id":"https://openalex.org/C48921125","wikidata":"https://www.wikidata.org/wiki/Q10861030","display_name":"Linear regression","level":2,"score":0.505299985408783},{"id":"https://openalex.org/C83546350","wikidata":"https://www.wikidata.org/wiki/Q1139051","display_name":"Regression","level":2,"score":0.4984999895095825},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.4496999979019165},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.44029998779296875},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4341000020503998},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4334999918937683},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4271000027656555},{"id":"https://openalex.org/C152877465","wikidata":"https://www.wikidata.org/wiki/Q208042","display_name":"Regression analysis","level":2,"score":0.41940000653266907},{"id":"https://openalex.org/C51823790","wikidata":"https://www.wikidata.org/wiki/Q504353","display_name":"Greedy algorithm","level":2,"score":0.4115000069141388},{"id":"https://openalex.org/C2777382242","wikidata":"https://www.wikidata.org/wiki/Q6017816","display_name":"Index (typography)","level":2,"score":0.4099999964237213},{"id":"https://openalex.org/C163175372","wikidata":"https://www.wikidata.org/wiki/Q3339222","display_name":"Linear model","level":2,"score":0.39250001311302185},{"id":"https://openalex.org/C2776502983","wikidata":"https://www.wikidata.org/wiki/Q690182","display_name":"Contrast (vision)","level":2,"score":0.38929998874664307},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38600000739097595},{"id":"https://openalex.org/C41587187","wikidata":"https://www.wikidata.org/wiki/Q1501882","display_name":"Generalized linear model","level":2,"score":0.36329999566078186},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.34929999709129333},{"id":"https://openalex.org/C149629883","wikidata":"https://www.wikidata.org/wiki/Q660926","display_name":"Fraction (chemistry)","level":2,"score":0.32409998774528503},{"id":"https://openalex.org/C168167062","wikidata":"https://www.wikidata.org/wiki/Q1117970","display_name":"Component (thermodynamics)","level":2,"score":0.32190001010894775},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.31220000982284546},{"id":"https://openalex.org/C103784038","wikidata":"https://www.wikidata.org/wiki/Q386228","display_name":"Cumulative distribution function","level":3,"score":0.3068999946117401},{"id":"https://openalex.org/C32224588","wikidata":"https://www.wikidata.org/wiki/Q7250175","display_name":"Proper linear model","level":4,"score":0.2750000059604645},{"id":"https://openalex.org/C2164484","wikidata":"https://www.wikidata.org/wiki/Q5170150","display_name":"Core (optical fiber)","level":2,"score":0.27320000529289246},{"id":"https://openalex.org/C76969082","wikidata":"https://www.wikidata.org/wiki/Q486902","display_name":"Mathematical model","level":2,"score":0.25859999656677246}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/3802085","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3802085","pdf_url":null,"source":{"id":"https://openalex.org/S4387289859","display_name":"Proceedings of the ACM on Management of Data","issn_l":"2836-6573","issn":["2836-6573"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the ACM on Management of Data","raw_type":"journal-article"},{"id":"pmh:oai:pure.atira.dk:openaire/7f8c0440-cecd-42d9-8a7b-5977072fdebd","is_oa":true,"landing_page_url":"https://pure.itu.dk/portal/da/publications/7f8c0440-cecd-42d9-8a7b-5977072fdebd","pdf_url":null,"source":{"id":"https://openalex.org/S4377196680","display_name":"IT University Of Copenhagen (IT University of Copenhagen)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I83467386","host_organization_name":"IT University of Copenhagen","host_organization_lineage":["https://openalex.org/I83467386"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Sato, A, Aum\u00fcller, M & Matsui, Y 2026, 'Mathematical Foundations of Poisoning Attacks on Linear Regression over Cumulative Distribution Functions', Proceedings of the ACM on Management of Data, vol. 4, no. 3, 208, pp. 1-25. https://doi.org/10.1145/3802085","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:pure.atira.dk:openaire/7f8c0440-cecd-42d9-8a7b-5977072fdebd","is_oa":true,"landing_page_url":"https://pure.itu.dk/portal/da/publications/7f8c0440-cecd-42d9-8a7b-5977072fdebd","pdf_url":null,"source":{"id":"https://openalex.org/S4377196680","display_name":"IT University Of Copenhagen (IT University of Copenhagen)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I83467386","host_organization_name":"IT University of Copenhagen","host_organization_lineage":["https://openalex.org/I83467386"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Sato, A, Aum\u00fcller, M & Matsui, Y 2026, 'Mathematical Foundations of Poisoning Attacks on Linear Regression over Cumulative Distribution Functions', Proceedings of the ACM on Management of Data, vol. 4, no. 3, 208, pp. 1-25. https://doi.org/10.1145/3802085","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.4085412919521332}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W2085261163","https://openalex.org/W2122121031","https://openalex.org/W2123845384","https://openalex.org/W3081786030","https://openalex.org/W3096737792","https://openalex.org/W3107842002","https://openalex.org/W3204542296","https://openalex.org/W4206548428","https://openalex.org/W4210798430","https://openalex.org/W4249736682","https://openalex.org/W4294904076","https://openalex.org/W4381621971","https://openalex.org/W4392453423","https://openalex.org/W4393180323","https://openalex.org/W4393183969","https://openalex.org/W4402043003","https://openalex.org/W4406353841"],"related_works":[],"abstract_inverted_index":{"Learned":[0],"indexes":[1,35],"are":[2,36,103],"a":[3,43,71,92,109,159,205],"class":[4],"of":[5,46,75,85,166,194,211],"index":[6,60],"data":[7,52],"structures":[8],"that":[9,33,120,131,150,175],"enable":[10],"fast":[11],"search":[12],"by":[13],"approximating":[14],"the":[15,50,86,113,121,125,135,147,167,176,179,191,208],"cumulative":[16],"distribution":[17],"function":[18],"(CDF)":[19],"using":[20],"machine":[21],"learning":[22],"models":[23,81,90,200],"(Kraska":[24],"et":[25,63],"al.,":[26,64],"SIGMOD'18).":[27],"However,":[28],"recent":[29],"studies":[30],"have":[31],"shown":[32],"learned":[34,98,216],"vulnerable":[37],"to":[38,161,185],"poisoning":[39,76,116,169],"attacks,":[40,134],"where":[41],"injecting":[42],"small":[44],"number":[45],"poison":[47],"keys":[48],"into":[49],"training":[51],"can":[53],"significantly":[54],"degrade":[55],"model":[56],"accuracy":[57],"and":[58,91,118,143,172,203,213],"reduce":[59],"performance":[61],"(Kornaropoulos":[62],"SIGMOD'22).":[65],"In":[66],"this":[67,186],"work,":[68],"we":[69,144],"provide":[70],"rigorous":[72],"theoretical":[73,110,192,209],"analysis":[74],"attacks":[77,212],"targeting":[78],"linear":[79,198],"regression":[80,89,199],"over":[82],"CDFs,":[83],"one":[84],"most":[87],"basic":[88],"core":[93],"component":[94],"in":[95,132],"many":[96],"advanced":[97],"indexes.":[99,217],"Our":[100,188],"main":[101],"contributions":[102],"as":[104],"follows:":[105],"(i)":[106],"We":[107,129,157],"present":[108],"proof":[111],"characterizing":[112],"optimal":[114,126,152],"single-point":[115],"attack":[117,153,195],"show":[119,130],"existing":[122,136],"method":[123,160],"yields":[124],"attack.":[127],"(ii)":[128],"multi-point":[133,168],"greedy":[137,180],"approach":[138,181],"is":[139,182],"not":[140],"always":[141],"optimal,":[142],"rigorously":[145],"derive":[146],"key":[148],"properties":[149],"an":[151,163],"should":[154],"satisfy.":[155],"(iii)":[156],"propose":[158],"compute":[162],"upper":[164],"bound":[165],"attack's":[170],"impact":[171],"empirically":[173],"demonstrate":[174],"loss":[177],"under":[178],"often":[183],"close":[184],"bound.":[187],"study":[189],"deepens":[190],"understanding":[193],"strategies":[196],"against":[197],"on":[201,215],"CDFs":[202],"provides":[204],"foundation":[206],"for":[207],"evaluation":[210],"defenses":[214]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2026-05-19T00:00:00"}