{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:X7O24YLTZ27AKD2Z2WOIQ727OE","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":"e3154eb6d690de8179a3df77b6b75eca2379f9734b0ed1dcd98c8c9dfa80fefe","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2019-05-29T09:56:41Z","title_canon_sha256":"552d2aefc3ea49ad335d18775eb356f572157e836df99802e22f375e99b034c8"},"schema_version":"1.0","source":{"id":"1905.12298","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.12298","created_at":"2026-07-05T01:13:05Z"},{"alias_kind":"arxiv_version","alias_value":"1905.12298v2","created_at":"2026-07-05T01:13:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.12298","created_at":"2026-07-05T01:13:05Z"},{"alias_kind":"pith_short_12","alias_value":"X7O24YLTZ27A","created_at":"2026-07-05T01:13:05Z"},{"alias_kind":"pith_short_16","alias_value":"X7O24YLTZ27AKD2Z","created_at":"2026-07-05T01:13:05Z"},{"alias_kind":"pith_short_8","alias_value":"X7O24YLT","created_at":"2026-07-05T01:13:05Z"}],"graph_snapshots":[{"event_id":"sha256:f0cf050361ab479ed9e035db7abc01a5fd97597526b3b5acf584b5e8f56dee02","target":"graph","created_at":"2026-07-05T01:13:05Z","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/1905.12298/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Based on differential privacy (DP) framework, we introduce and unify privacy definitions for the multi-armed bandit algorithms. We represent the framework with a unified graphical model and use it to connect privacy definitions. We derive and contrast lower bounds on the regret of bandit algorithms satisfying these definitions. We leverage a unified proving technique to achieve all the lower bounds. We show that for all of them, the learner's regret is increased by a multiplicative factor dependent on the privacy level $\\epsilon$. We observe that the dependency is weaker when we do not require","authors_text":"Aristide Tossou, Christos Dimitrakakis, Debabrota Basu","cross_cats":["stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2019-05-29T09:56:41Z","title":"Differential Privacy for Multi-armed Bandits: What Is It and What Is Its Cost?"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.12298","kind":"arxiv","version":2},"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":"sha256:1f6092f5ef6f310b8323e4e42ed308c9e3c50d7bd330254bdab3a43c7a77e932","target":"record","created_at":"2026-07-05T01:13:05Z","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":"e3154eb6d690de8179a3df77b6b75eca2379f9734b0ed1dcd98c8c9dfa80fefe","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2019-05-29T09:56:41Z","title_canon_sha256":"552d2aefc3ea49ad335d18775eb356f572157e836df99802e22f375e99b034c8"},"schema_version":"1.0","source":{"id":"1905.12298","kind":"arxiv","version":2}},"canonical_sha256":"bfddae6173cebe050f59d59c887f5f7101c943d4e312a8cd5dfac05767707ec1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bfddae6173cebe050f59d59c887f5f7101c943d4e312a8cd5dfac05767707ec1","first_computed_at":"2026-07-05T01:13:05.941206Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:13:05.941206Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"n+mmJabFgZTQgWRqg7ePTccggJh5RFp5NQR/H8IUv+tVmx7zsnDcACUL8Yabz3iirphdnN7J3+jl1hx3MOtnDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T01:13:05.941715Z","signed_message":"canonical_sha256_bytes"},"source_id":"1905.12298","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1f6092f5ef6f310b8323e4e42ed308c9e3c50d7bd330254bdab3a43c7a77e932","sha256:f0cf050361ab479ed9e035db7abc01a5fd97597526b3b5acf584b5e8f56dee02"],"state_sha256":"abd4d61fb09c4c7be2f87f590ed72573fc43f709d9f2f1e33bbdb37caa2c9166"}