{"id":"https://openalex.org/W7216500693","doi":"https://doi.org/10.48550/arxiv.2610.01907","title":"Detection and Resolution of Periodic Artifacts in OpenDP's Discrete Laplace Sampler","display_name":"Detection and Resolution of Periodic Artifacts in OpenDP's Discrete Laplace Sampler","publication_year":2026,"publication_date":"2026-10-01","ids":{"openalex":"https://openalex.org/W7216500693","doi":"https://doi.org/10.48550/arxiv.2610.01907"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.01907","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.01907","pdf_url":"https://arxiv.org/pdf/2610.01907","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,"listed_in":[],"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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2610.01907","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5126846085","display_name":"CESARE GEROLIMETTO FABRELLO","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I115752224","display_name":"University of Insubria","ror":"https://ror.org/00s409261","country_code":"IT","type":"education","lineage":["https://openalex.org/I115752224"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Fabrello, Cesare Gerolimetto","raw_affiliation_strings":["Random Power Srl","Universit\u00e0 degli Studi dell'Insubria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Random Power Srl","institution_ids":[]},{"raw_affiliation_string":"Universit\u00e0 degli Studi dell'Insubria","institution_ids":["https://openalex.org/I115752224"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111339897","display_name":"Valeria Rossi","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I115752224","display_name":"University of Insubria","ror":"https://ror.org/00s409261","country_code":"IT","type":"education","lineage":["https://openalex.org/I115752224"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Rossi, Valeria","raw_affiliation_strings":["Random Power Srl","Universit\u00e0 degli Studi dell'Insubria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Random Power Srl","institution_ids":[]},{"raw_affiliation_string":"Universit\u00e0 degli Studi dell'Insubria","institution_ids":["https://openalex.org/I115752224"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001327918","display_name":"Alberto Trombetta","orcid":"https://orcid.org/0000-0002-2567-9297","observed_orcids":["https://orcid.org/0000-0002-2567-9297","https://orcid.org/0000-0003-1234-783X"]},"institutions":[{"id":"https://openalex.org/I115752224","display_name":"University of Insubria","ror":"https://ror.org/00s409261","country_code":"IT","type":"education","lineage":["https://openalex.org/I115752224"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Trombetta, Alberto","raw_affiliation_strings":["Universit\u00e0 degli Studi dell'Insubria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e0 degli Studi dell'Insubria","institution_ids":["https://openalex.org/I115752224"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046377358","display_name":"M. Caccia","orcid":"https://orcid.org/0000-0002-9499-678X","observed_orcids":["https://orcid.org/0000-0002-9499-678X"]},"institutions":[{"id":"https://openalex.org/I115752224","display_name":"University of Insubria","ror":"https://ror.org/00s409261","country_code":"IT","type":"education","lineage":["https://openalex.org/I115752224"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Caccia, Massimo","raw_affiliation_strings":["Random Power Srl","Universit\u00e0 degli Studi dell'Insubria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Random Power Srl","institution_ids":[]},{"raw_affiliation_string":"Universit\u00e0 degli Studi dell'Insubria","institution_ids":["https://openalex.org/I115752224"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I115752224"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"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":0.9911999702453613,"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":0.9911999702453613,"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/T13806","display_name":"Mathematical and Computational Methods","score":0.0006000000284984708,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11614","display_name":"Cloud Data Security Solutions","score":0.0003000000142492354,"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/differential-privacy","display_name":"differential privacy","score":0.8830000162124634},{"id":"https://openalex.org/keywords/rational-arithmetic","display_name":"rational arithmetic","score":0.8730000257492065},{"id":"https://openalex.org/keywords/bernoulli-distribution","display_name":"Bernoulli distribution","score":0.8029999732971191}],"concepts":[{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.65420001745224},{"id":"https://openalex.org/C75291252","wikidata":"https://www.wikidata.org/wiki/Q1315756","display_name":"TRACE (psycholinguistics)","level":2,"score":0.6478999853134155},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5764999985694885},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.5663999915122986},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5047000050544739},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46950000524520874},{"id":"https://openalex.org/C97937538","wikidata":"https://www.wikidata.org/wiki/Q199691","display_name":"Laplace transform","level":2,"score":0.4620000123977661},{"id":"https://openalex.org/C138268822","wikidata":"https://www.wikidata.org/wiki/Q1051925","display_name":"Resolution (logic)","level":2,"score":0.42899999022483826},{"id":"https://openalex.org/C183057437","wikidata":"https://www.wikidata.org/wiki/Q671617","display_name":"Laplace distribution","level":3,"score":0.3903000056743622},{"id":"https://openalex.org/C31170391","wikidata":"https://www.wikidata.org/wiki/Q188619","display_name":"Hierarchy","level":2,"score":0.38940000534057617},{"id":"https://openalex.org/C75373757","wikidata":"https://www.wikidata.org/wiki/Q7410160","display_name":"Sampling design","level":3,"score":0.38429999351501465},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.34850001335144043},{"id":"https://openalex.org/C198531522","wikidata":"https://www.wikidata.org/wiki/Q485146","display_name":"Sample (material)","level":2,"score":0.34459999203681946},{"id":"https://openalex.org/C192489979","wikidata":"https://www.wikidata.org/wiki/Q1502997","display_name":"Systematic sampling","level":2,"score":0.3273000121116638},{"id":"https://openalex.org/C23130292","wikidata":"https://www.wikidata.org/wiki/Q5275358","display_name":"Differential privacy","level":2,"score":0.32359999418258667},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.32120001316070557},{"id":"https://openalex.org/C29265498","wikidata":"https://www.wikidata.org/wiki/Q7047719","display_name":"Noise measurement","level":3,"score":0.30410000681877136},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.28780001401901245},{"id":"https://openalex.org/C122770356","wikidata":"https://www.wikidata.org/wiki/Q1656753","display_name":"Identifiability","level":2,"score":0.2874000072479248},{"id":"https://openalex.org/C2985880046","wikidata":"https://www.wikidata.org/wiki/Q7410168","display_name":"Sampling theory","level":3,"score":0.2858000099658966},{"id":"https://openalex.org/C26713055","wikidata":"https://www.wikidata.org/wiki/Q245962","display_name":"Implementation","level":2,"score":0.2743000090122223},{"id":"https://openalex.org/C170593435","wikidata":"https://www.wikidata.org/wiki/Q4128565","display_name":"Slice sampling","level":4,"score":0.2741999924182892},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.2700999975204468},{"id":"https://openalex.org/C168167062","wikidata":"https://www.wikidata.org/wiki/Q1117970","display_name":"Component (thermodynamics)","level":2,"score":0.26980000734329224},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2687999904155731},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.2678000032901764},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.26190000772476196},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.25870001316070557},{"id":"https://openalex.org/C46875033","wikidata":"https://www.wikidata.org/wiki/Q1244890","display_name":"Rational number","level":2,"score":0.257999986410141}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.01907","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.01907","pdf_url":"https://arxiv.org/pdf/2610.01907","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,"listed_in":[],"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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2610.01907","doi":"https://doi.org/10.48550/arxiv.2610.01907","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.01907","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,"listed_in":[],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2610.01907","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.01907","pdf_url":"https://arxiv.org/pdf/2610.01907","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,"listed_in":[],"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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F7311471023","display_name":"NextGenerationEU","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7216500693.pdf","grobid_xml":"https://content.openalex.org/works/W7216500693.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W7213619386","https://openalex.org/W7214039293","https://openalex.org/W6912781149","https://openalex.org/W4415743618","https://openalex.org/W7113771010","https://openalex.org/W4411267729","https://openalex.org/W7204848456","https://openalex.org/W4288804735","https://openalex.org/W4310000757","https://openalex.org/W4400876957"],"abstract_inverted_index":{"Differential":[0],"privacy":[1,13],"implementations":[2],"rely":[3],"on":[4,87],"precise":[5],"sampling":[6,62,79],"from":[7,63,108],"noise":[8],"distributions":[9],"to":[10,43],"provide":[11],"formal":[12],"guarantees.":[14],"We":[15,66],"report":[16],"the":[17,33,48,54,73,77,93,102,109,113],"discovery":[18],"of":[19],"systematic":[20,37],"artifacts":[21,42],"in":[22,32,47,76],"OpenDP's":[23],"discrete":[24],"Laplace":[25],"sampler":[26,104],"that":[27,60,71,91,101],"manifest":[28],"as":[29],"periodic":[30],"distortions":[31],"output":[34],"distribution.":[35],"Through":[36],"testing,":[38],"we":[39],"trace":[40],"these":[41],"a":[44,57,68],"faulty":[45,74],"implementation":[46,85],"rational":[49,89],"arithmetic":[50,90],"library":[51],"used":[52],"by":[53],"bernoulli_exp1":[55],"function,":[56],"low-level":[58],"primitive":[59],"implements":[61],"Bernoulli(e^(-x))":[64],"distributions.":[65],"present":[67],"diagnostic":[69],"methodology":[70],"isolates":[72],"component":[75],"nested":[78],"hierarchy":[80],"and":[81],"propose":[82],"an":[83],"alternative":[84],"based":[86],"exact":[88],"eliminates":[92],"artifacts.":[94],"Statistical":[95],"validation":[96],"with":[97],"10^6":[98],"samples":[99],"confirms":[100],"corrected":[103],"produces":[105],"outputs":[106],"indistinguishable":[107],"theoretical":[110],"distribution":[111],"at":[112],"tested":[114],"precision":[115],"level.":[116]},"counts_by_year":[],"updated_date":"2026-10-28T10:33:24.094632","created_date":"2026-10-03T00:00:00"}