{"id":"https://openalex.org/W4417300554","doi":"https://doi.org/10.48550/arxiv.2505.12239","title":"ACU: Analytic Continual Unlearning for Efficient and Exact Forgetting with Privacy Preservation","display_name":"ACU: Analytic Continual Unlearning for Efficient and Exact Forgetting with Privacy Preservation","publication_year":2025,"publication_date":"2025-05-18","ids":{"openalex":"https://openalex.org/W4417300554","doi":"https://doi.org/10.48550/arxiv.2505.12239"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2505.12239","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2505.12239","pdf_url":"https://arxiv.org/pdf/2505.12239","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2505.12239","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5102865237","display_name":"Jianheng Tang","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Tang, Jianheng","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061256037","display_name":"Huiping Zhuang","orcid":"https://orcid.org/0000-0002-4612-5445"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Zhuang, Huiping","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101976668","display_name":"Di Fang","orcid":"https://orcid.org/0000-0003-4664-703X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Fang, Di","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007190734","display_name":"Jiaxu Li","orcid":"https://orcid.org/0000-0003-1641-2774"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Li, Jiaxu","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016430981","display_name":"Feijiang Han","orcid":"https://orcid.org/0009-0001-7880-5349"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Han, Feijiang","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5106405880","display_name":"Yajiang Huang","orcid":"https://orcid.org/0009-0006-5023-0738"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Huang, Yajiang","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004976807","display_name":"Kejia Fan","orcid":"https://orcid.org/0000-0002-0236-759X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Fan, Kejia","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052181781","display_name":"Liping Wang","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Wang, Leye","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045305860","display_name":"Zhanxing Zhu","orcid":"https://orcid.org/0000-0002-2141-6553"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Zhu, Zhanxing","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013030532","display_name":"Shanghang Zhang","orcid":"https://orcid.org/0000-0003-4047-3526"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Zhang, Shanghang","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079301418","display_name":"Houbing Song","orcid":"https://orcid.org/0000-0003-2631-9223"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Song, Houbing Herbert","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5082653046","display_name":"Yunhuai Liu","orcid":"https://orcid.org/0000-0002-1180-8078"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Liu, Yunhuai","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":12,"corresponding_author_ids":["https://openalex.org/A5102865237"],"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/T11307","display_name":"Domain Adaptation and Few-Shot Learning","score":0.5113999843597412,"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/T11307","display_name":"Domain Adaptation and Few-Shot Learning","score":0.5113999843597412,"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/T11689","display_name":"Adversarial Robustness in Machine Learning","score":0.11940000206232071,"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":0.038600001484155655,"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/forgetting","display_name":"Forgetting","score":0.8622000217437744},{"id":"https://openalex.org/keywords/bridge","display_name":"Bridge (graph theory)","score":0.5184000134468079},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.4823000133037567},{"id":"https://openalex.org/keywords/focus","display_name":"Focus (optics)","score":0.46810001134872437},{"id":"https://openalex.org/keywords/face","display_name":"Face (sociological concept)","score":0.4453999996185303}],"concepts":[{"id":"https://openalex.org/C7149132","wikidata":"https://www.wikidata.org/wiki/Q1377840","display_name":"Forgetting","level":2,"score":0.8622000217437744},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7081000208854675},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.5253000259399414},{"id":"https://openalex.org/C100776233","wikidata":"https://www.wikidata.org/wiki/Q2532492","display_name":"Bridge (graph theory)","level":2,"score":0.5184000134468079},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.4823000133037567},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.46810001134872437},{"id":"https://openalex.org/C2779304628","wikidata":"https://www.wikidata.org/wiki/Q3503480","display_name":"Face (sociological concept)","level":2,"score":0.4453999996185303},{"id":"https://openalex.org/C123201435","wikidata":"https://www.wikidata.org/wiki/Q456632","display_name":"Information privacy","level":2,"score":0.3449000120162964},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.2915000021457672},{"id":"https://openalex.org/C162027153","wikidata":"https://www.wikidata.org/wiki/Q2264109","display_name":"Artificial general intelligence","level":2,"score":0.2741999924182892},{"id":"https://openalex.org/C2522767166","wikidata":"https://www.wikidata.org/wiki/Q2374463","display_name":"Data science","level":1,"score":0.2567000091075897},{"id":"https://openalex.org/C67186912","wikidata":"https://www.wikidata.org/wiki/Q367664","display_name":"Data modeling","level":2,"score":0.2563000023365021}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2505.12239","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2505.12239","pdf_url":"https://arxiv.org/pdf/2505.12239","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2505.12239","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2505.12239","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2505.12239","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2505.12239","pdf_url":"https://arxiv.org/pdf/2505.12239","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"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":{"The":[0],"development":[1],"of":[2,126,200],"artificial":[3],"intelligence":[4],"demands":[5],"that":[6,83,123],"models":[7],"incrementally":[8],"update":[9],"knowledge":[10,39],"by":[11,112],"Continual":[12,26,156],"Learning":[13],"(CL)":[14],"to":[15,17,35,61,69,107,171],"adapt":[16],"open-world":[18],"environments.":[19],"To":[20,138],"meet":[21],"privacy":[22,167],"and":[23,55,101,161,194,208],"security":[24],"requirements,":[25],"Unlearning":[27,157],"(CU)":[28],"emerges":[29],"as":[30],"an":[31,179,185],"important":[32],"problem,":[33],"aiming":[34],"sequentially":[36],"forget":[37],"particular":[38],"acquired":[40],"during":[41],"the":[42,70,78,124,140,189,198],"CL":[43,82],"phase.":[44],"However,":[45],"existing":[46,65,127],"unlearning":[47,128,173,204],"methods":[48,66,91,129],"primarily":[49],"focus":[50],"on":[51,135,203],"single-shot":[52],"joint":[53],"forgetting":[54,163],"face":[56],"significant":[57],"limitations":[58,125],"when":[59],"applied":[60],"CU.":[62],"First,":[63],"most":[64],"require":[67],"access":[68],"retained":[71],"dataset":[72],"for":[73,152,159],"re-training":[74],"or":[75,110],"fine-tuning,":[76],"violating":[77],"inherent":[79],"constraint":[80],"in":[81,184],"historical":[84,165],"data":[85,166],"cannot":[86],"be":[87],"revisited.":[88],"Second,":[89],"these":[90],"often":[92],"suffer":[93],"from":[94,132],"a":[95,148],"poor":[96],"trade-off":[97],"between":[98],"system":[99,209],"efficiency":[100],"model":[102,206],"fidelity,":[103,207],"making":[104],"them":[105],"vulnerable":[106],"being":[108],"overwhelmed":[109],"degraded":[111],"adversaries":[113],"through":[114],"deliberately":[115],"frequent":[116],"requests.":[117],"In":[118,169],"this":[119],"paper,":[120],"we":[121,146],"identify":[122],"stem":[130],"fundamentally":[131],"their":[133],"reliance":[134],"gradient-based":[136],"updates.":[137],"bridge":[139],"research":[141],"gap":[142],"at":[143],"its":[144],"root,":[145],"propose":[147],"novel":[149],"gradient-free":[150],"method":[151],"CU,":[153],"named":[154],"Analytic":[155],"(ACU),":[158],"efficient":[160],"exact":[162],"with":[164],"preservation.":[168],"response":[170],"each":[172],"request,":[174],"our":[175,201],"ACU":[176,202],"recursively":[177],"derives":[178],"analytical":[180],"(i.e.,":[181],"closed-form)":[182],"solution":[183],"interpretable":[186],"manner":[187],"using":[188],"least":[190],"squares":[191],"method.":[192],"Theoretical":[193],"experimental":[195],"evaluations":[196],"validate":[197],"superiority":[199],"effectiveness,":[205],"efficiency.":[210]},"counts_by_year":[],"updated_date":"2026-03-07T16:01:11.037858","created_date":"2025-10-10T00:00:00"}
