{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:2X7NFEMZ7GZCXCAQ5DSGIONSKL","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"fc34a2dee83ec3a04fc063dedcfc86dbc7af1cf31485e87e7a800cbb89cbd834","cross_cats_sorted":["cs.CR","cs.LG","math.ST","stat.TH"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ML","submitted_at":"2023-09-05T13:07:25Z","title_canon_sha256":"ea59f3b6e1f05031d60ef3a7eedda6282a7816c5313c6ed977a0c58dd2a112cb"},"schema_version":"1.0","source":{"id":"2309.02202","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2309.02202","created_at":"2026-07-05T06:47:57Z"},{"alias_kind":"arxiv_version","alias_value":"2309.02202v1","created_at":"2026-07-05T06:47:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2309.02202","created_at":"2026-07-05T06:47:57Z"},{"alias_kind":"pith_short_12","alias_value":"2X7NFEMZ7GZC","created_at":"2026-07-05T06:47:57Z"},{"alias_kind":"pith_short_16","alias_value":"2X7NFEMZ7GZCXCAQ","created_at":"2026-07-05T06:47:57Z"},{"alias_kind":"pith_short_8","alias_value":"2X7NFEMZ","created_at":"2026-07-05T06:47:57Z"}],"graph_snapshots":[{"event_id":"sha256:e413a71caaea3e60fbccf09a261ef593a0a8c29fa70e1085de15488cc0a4f8f3","target":"graph","created_at":"2026-07-05T06:47:57Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2309.02202/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Best Arm Identification (BAI) problems are progressively used for data-sensitive applications, such as designing adaptive clinical trials, tuning hyper-parameters, and conducting user studies to name a few. Motivated by the data privacy concerns invoked by these applications, we study the problem of BAI with fixed confidence under $\\epsilon$-global Differential Privacy (DP). First, to quantify the cost of privacy, we derive a lower bound on the sample complexity of any $\\delta$-correct BAI algorithm satisfying $\\epsilon$-global DP. Our lower bound suggests the existence of two privacy regimes ","authors_text":"Achraf Azize, Aymen Al Marjani, Debabrota Basu, Marc Jourdan","cross_cats":["cs.CR","cs.LG","math.ST","stat.TH"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ML","submitted_at":"2023-09-05T13:07:25Z","title":"On the Complexity of Differentially Private Best-Arm Identification with Fixed Confidence"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2309.02202","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:b1d55676fca433b04b2a903cd37eb5bab615bbcf0ed8a9f50d05e3c841da14d0","target":"record","created_at":"2026-07-05T06:47:57Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"fc34a2dee83ec3a04fc063dedcfc86dbc7af1cf31485e87e7a800cbb89cbd834","cross_cats_sorted":["cs.CR","cs.LG","math.ST","stat.TH"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ML","submitted_at":"2023-09-05T13:07:25Z","title_canon_sha256":"ea59f3b6e1f05031d60ef3a7eedda6282a7816c5313c6ed977a0c58dd2a112cb"},"schema_version":"1.0","source":{"id":"2309.02202","kind":"arxiv","version":1}},"canonical_sha256":"d5fed29199f9b22b8810e8e46439b252de97913ca054820472658509cb8e0d6c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d5fed29199f9b22b8810e8e46439b252de97913ca054820472658509cb8e0d6c","first_computed_at":"2026-07-05T06:47:57.127657Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:47:57.127657Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QR7Ro74qmCxvY4lRErLEPzbx2gEEbk+lQzpHH4aMb89T9Al/xM7f0c1Mo8OVsMyKC9jON3mhPAGinUrPK2+8Aw==","signature_status":"signed_v1","signed_at":"2026-07-05T06:47:57.128164Z","signed_message":"canonical_sha256_bytes"},"source_id":"2309.02202","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b1d55676fca433b04b2a903cd37eb5bab615bbcf0ed8a9f50d05e3c841da14d0","sha256:e413a71caaea3e60fbccf09a261ef593a0a8c29fa70e1085de15488cc0a4f8f3"],"state_sha256":"b7392d092f31b12843ad964bf7d4a340c0876f2dea29ecfce6dfdbeefab0983d"}