{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:PKIXKDRPABQLZFCHLPH6CYQ7DV","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":"cb50365e2647ab660f0163110c7b586068412f2f48f9d92156ea631d6c5c2688","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2017-01-27T06:17:14Z","title_canon_sha256":"ee5ccf720163a44089c386c34db8d4bd6c9616efb39a67125b8c575032f8cd1e"},"schema_version":"1.0","source":{"id":"1701.07953","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.07953","created_at":"2026-05-18T00:42:23Z"},{"alias_kind":"arxiv_version","alias_value":"1701.07953v2","created_at":"2026-05-18T00:42:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.07953","created_at":"2026-05-18T00:42:23Z"},{"alias_kind":"pith_short_12","alias_value":"PKIXKDRPABQL","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_16","alias_value":"PKIXKDRPABQLZFCH","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_8","alias_value":"PKIXKDRP","created_at":"2026-05-18T12:31:37Z"}],"graph_snapshots":[{"event_id":"sha256:bbafe7ae476fcf755b67aa69aa27cda53dd27ad6cf458a2b2c128d414847afc1","target":"graph","created_at":"2026-05-18T00:42:23Z","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"},"paper":{"abstract_excerpt":"We design differentially private algorithms for the problem of online linear optimization in the full information and bandit settings with optimal $\\tilde{O}(\\sqrt{T})$ regret bounds. In the full-information setting, our results demonstrate that $\\epsilon$-differential privacy may be ensured for free -- in particular, the regret bounds scale as $O(\\sqrt{T})+\\tilde{O}\\left(\\frac{1}{\\epsilon}\\right)$. For bandit linear optimization, and as a special case, for non-stochastic multi-armed bandits, the proposed algorithm achieves a regret of $\\tilde{O}\\left(\\frac{1}{\\epsilon}\\sqrt{T}\\right)$, while ","authors_text":"Karan Singh, Naman Agarwal","cross_cats":["stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2017-01-27T06:17:14Z","title":"The Price of Differential Privacy For Online Learning"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.07953","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":"sha256:8d1421b82e36331ecee6ab721fe1e6de595f4473c8018657910551f9e674a56a","target":"record","created_at":"2026-05-18T00:42:23Z","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":"cb50365e2647ab660f0163110c7b586068412f2f48f9d92156ea631d6c5c2688","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2017-01-27T06:17:14Z","title_canon_sha256":"ee5ccf720163a44089c386c34db8d4bd6c9616efb39a67125b8c575032f8cd1e"},"schema_version":"1.0","source":{"id":"1701.07953","kind":"arxiv","version":2}},"canonical_sha256":"7a91750e2f0060bc94475bcfe1621f1d63198b06d763cb8b7a2a5e36fc516999","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7a91750e2f0060bc94475bcfe1621f1d63198b06d763cb8b7a2a5e36fc516999","first_computed_at":"2026-05-18T00:42:23.547942Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:42:23.547942Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zpOogMRKHuvrnJEXA+EhNdN2V/jJSqwPOyziczLEYbnd0cXNWtiGW1QmLWLnkcp+xYmIH+B8A6ahhV4rGPceDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:42:23.548370Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.07953","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8d1421b82e36331ecee6ab721fe1e6de595f4473c8018657910551f9e674a56a","sha256:bbafe7ae476fcf755b67aa69aa27cda53dd27ad6cf458a2b2c128d414847afc1"],"state_sha256":"01c4aad62a553a083adc05658db926bd74db92b527b45f4ad902394729d8361b"}