{"id":"https://openalex.org/W7163150644","doi":"https://doi.org/10.48550/arxiv.2606.01952","title":"Randomized Least Squares Value Iteration itself is Joint Differentially Private","display_name":"Randomized Least Squares Value Iteration itself is Joint Differentially Private","publication_year":2026,"publication_date":"2026-06-01","ids":{"openalex":"https://openalex.org/W7163150644","doi":"https://doi.org/10.48550/arxiv.2606.01952"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2606.01952","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2606.01952","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.2606.01952","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100568510","display_name":"Haiyang Lu","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Lu, Haiyang","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004854778","display_name":"Pratik Gajane","orcid":"https://orcid.org/0000-0002-8087-5661"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Gajane, Pratik","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037832036","display_name":"Shaojie Bai","orcid":"https://orcid.org/0009-0006-7526-5216"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Bai, Shaojie","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5137652034","display_name":"Mohammad Sadegh Talebi","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Talebi, Mohammad Sadegh","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/T10764","display_name":"Privacy-Preserving Technologies in Data","score":0.9146000146865845,"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/T10764","display_name":"Privacy-Preserving Technologies in Data","score":0.9146000146865845,"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":0.016699999570846558,"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/T10462","display_name":"Reinforcement Learning in Robotics","score":0.009200000204145908,"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/randomized-controlled-trial","display_name":"Randomized controlled trial","score":0.6021000146865845},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.597100019454956},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.5674999952316284},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5651000142097473},{"id":"https://openalex.org/keywords/randomized-response","display_name":"Randomized response","score":0.5648999810218811},{"id":"https://openalex.org/keywords/reinforcement-learning","display_name":"Reinforcement learning","score":0.5400999784469604},{"id":"https://openalex.org/keywords/joint","display_name":"Joint (building)","score":0.39969998598098755}],"concepts":[{"id":"https://openalex.org/C168563851","wikidata":"https://www.wikidata.org/wiki/Q1436668","display_name":"Randomized controlled trial","level":2,"score":0.6021000146865845},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.597100019454956},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.5674999952316284},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5651000142097473},{"id":"https://openalex.org/C2776441110","wikidata":"https://www.wikidata.org/wiki/Q1436628","display_name":"Randomized response","level":3,"score":0.5648999810218811},{"id":"https://openalex.org/C97541855","wikidata":"https://www.wikidata.org/wiki/Q830687","display_name":"Reinforcement learning","level":2,"score":0.5400999784469604},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.532800018787384},{"id":"https://openalex.org/C18555067","wikidata":"https://www.wikidata.org/wiki/Q8375051","display_name":"Joint (building)","level":2,"score":0.39969998598098755},{"id":"https://openalex.org/C128669082","wikidata":"https://www.wikidata.org/wiki/Q583461","display_name":"Randomized algorithm","level":2,"score":0.38429999351501465},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37389999628067017},{"id":"https://openalex.org/C9936470","wikidata":"https://www.wikidata.org/wiki/Q6510405","display_name":"Least-squares function approximation","level":3,"score":0.3725999891757965},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3643999993801117},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.34929999709129333},{"id":"https://openalex.org/C58489278","wikidata":"https://www.wikidata.org/wiki/Q1172284","display_name":"Data set","level":2,"score":0.31610000133514404},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.2773999869823456},{"id":"https://openalex.org/C123201435","wikidata":"https://www.wikidata.org/wiki/Q456632","display_name":"Information privacy","level":2,"score":0.272599995136261},{"id":"https://openalex.org/C3018263672","wikidata":"https://www.wikidata.org/wiki/Q1296251","display_name":"Efficient algorithm","level":2,"score":0.25360000133514404},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.2533999979496002}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2606.01952","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2606.01952","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.2606.01952","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2606.01952","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":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.6669743061065674}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"As":[0],"reinforcement":[1],"learning":[2],"(RL)":[3],"increasingly":[4],"applies":[5],"to":[6,21,53],"sensitive":[7,24],"domains,":[8],"such":[9,41],"as":[10,42,102],"health":[11],"care":[12],"and":[13,112,119,129],"recommendation":[14],"systems,":[15],"privacy-preserving":[16,28],"techniques":[17],"have":[18],"become":[19],"essential":[20],"protect":[22],"users'":[23],"information.":[25],"We":[26],"investigate":[27],"RL":[29],"under":[30],"an":[31,127],"episodic":[32],"setting,":[33],"focusing":[34],"on":[35,38],"algorithms":[36],"based":[37],"randomized":[39,56],"exploration,":[40],"Randomized":[43],"Least":[44],"Squares":[45],"Value":[46],"Iteration":[47],"(RLSVI).":[48],"The":[49],"overall":[50],"goal":[51],"is":[52,95,103,123,131],"study":[54],"how":[55,78],"exploration":[57,85],"interacts":[58],"with":[59,104],"the":[60,79,115,124,132],"injected":[61],"noise":[62,80],"required":[63],"by":[64],"privacy":[65,74,88],"mechanisms.":[66],"In":[67],"this":[68],"work,":[69],"we":[70,91],"show":[71],"a":[72],"new":[73],"analysis":[75],"that":[76,93],"characterizes":[77],"in":[81,99],"RLSVI":[82,94],"set":[83],"for":[84],"simultaneously":[86],"provides":[87],"protection.":[89],"Specifically,":[90],"prove":[92],"$(\\varepsilon(\u03b4),\u03b4)$-joint":[96],"differentially":[97],"private":[98],"tabular":[100],"MDP":[101],"$\\varepsilon(\u03b4)":[105],"=":[106],"\\frac{2AK}{H^2\\log(2HSA)}":[107],"+":[108],"2\\sqrt{\\frac{2AK\\log(1/\u03b4)}{H^2\\log(2HSA)}}$,":[109],"where":[110],"$S$":[111],"$A$":[113],"are":[114],"number":[116,133],"of":[117,126,134],"states":[118],"actions":[120],"respectively,":[121],"$H$":[122],"length":[125],"episode":[128],"$K$":[130],"episodes.":[135]},"counts_by_year":[],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2026-06-03T00:00:00"}