{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:XPGUIWN4UKOW5UTMCBLJUSNK72","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":"c91de867f240b1cdaf9edb9ce57282450ace57a0e3f79d5e6d8e7feb13302be7","cross_cats_sorted":["cs.LG","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2024-06-10T17:44:11Z","title_canon_sha256":"b6550624da062ba01f8efd87958cce93486dc59a828dffa3b6b8bdad7790d747"},"schema_version":"1.0","source":{"id":"2406.06506","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2406.06506","created_at":"2026-07-05T08:29:43Z"},{"alias_kind":"arxiv_version","alias_value":"2406.06506v1","created_at":"2026-07-05T08:29:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.06506","created_at":"2026-07-05T08:29:43Z"},{"alias_kind":"pith_short_12","alias_value":"XPGUIWN4UKOW","created_at":"2026-07-05T08:29:43Z"},{"alias_kind":"pith_short_16","alias_value":"XPGUIWN4UKOW5UTM","created_at":"2026-07-05T08:29:43Z"},{"alias_kind":"pith_short_8","alias_value":"XPGUIWN4","created_at":"2026-07-05T08:29:43Z"}],"graph_snapshots":[{"event_id":"sha256:a8c28ee3c5bad87a2bb9523d327eb26ea7b4a0925ba6fe2d7aa7b492abb149e5","target":"graph","created_at":"2026-07-05T08:29:43Z","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/2406.06506/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We introduce a computationally efficient algorithm for zeroth-order bandit convex optimisation and prove that in the adversarial setting its regret is at most $d^{3.5} \\sqrt{n} \\mathrm{polylog}(n, d)$ with high probability where $d$ is the dimension and $n$ is the time horizon. In the stochastic setting the bound improves to $M d^{2} \\sqrt{n} \\mathrm{polylog}(n, d)$ where $M \\in [d^{-1/2}, d^{-1 / 4}]$ is a constant that depends on the geometry of the constraint set and the desired computational properties.","authors_text":"Dirk van der Hoeven, Hidde Fokkema, Jack J. Mayo, Tor Lattimore","cross_cats":["cs.LG","stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2024-06-10T17:44:11Z","title":"Online Newton Method for Bandit Convex Optimisation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.06506","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":"sha256:4f835093aeb0f7711973cbe0584762b71430c354f14652fe49c6f461a7fc6b2c","target":"record","created_at":"2026-07-05T08:29:43Z","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":"c91de867f240b1cdaf9edb9ce57282450ace57a0e3f79d5e6d8e7feb13302be7","cross_cats_sorted":["cs.LG","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2024-06-10T17:44:11Z","title_canon_sha256":"b6550624da062ba01f8efd87958cce93486dc59a828dffa3b6b8bdad7790d747"},"schema_version":"1.0","source":{"id":"2406.06506","kind":"arxiv","version":1}},"canonical_sha256":"bbcd4459bca29d6ed26c10569a49aafeb602081e076cefe4de23a265c439239e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bbcd4459bca29d6ed26c10569a49aafeb602081e076cefe4de23a265c439239e","first_computed_at":"2026-07-05T08:29:43.352184Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:29:43.352184Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YoRI6yv76IcRh8eLtEYVHLfurXMPOkVvONe3coR5+2bsm2kC+/TtkzyvJccnrdzKDPRhTCFQG47hP2IeuwCoCg==","signature_status":"signed_v1","signed_at":"2026-07-05T08:29:43.352651Z","signed_message":"canonical_sha256_bytes"},"source_id":"2406.06506","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4f835093aeb0f7711973cbe0584762b71430c354f14652fe49c6f461a7fc6b2c","sha256:a8c28ee3c5bad87a2bb9523d327eb26ea7b4a0925ba6fe2d7aa7b492abb149e5"],"state_sha256":"47745e29825034351e8f5028264490527be476c2c23cda3a48787a7ff6354fcc"}