{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:55CZ3OYUHBOMJ46H3JJHEVKKC4","short_pith_number":"pith:55CZ3OYU","schema_version":"1.0","canonical_sha256":"ef459dbb14385cc4f3c7da5272554a170250f4fe8dcd9030bb0963681346b5dd","source":{"kind":"arxiv","id":"2502.01067","version":1},"attestation_state":"computed","paper":{"title":"Nearly Tight Bounds for Exploration in Streaming Multi-armed Bandits with Known Optimality Gap","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.DS"],"primary_cat":"cs.LG","authors_text":"Chen Wang, Nikolai Karpov","submitted_at":"2025-02-03T05:24:35Z","abstract_excerpt":"We investigate the sample-memory-pass trade-offs for pure exploration in multi-pass streaming multi-armed bandits (MABs) with the *a priori* knowledge of the optimality gap $\\Delta_{[2]}$. Here, and throughout, the optimality gap $\\Delta_{[i]}$ is defined as the mean reward gap between the best and the $i$-th best arms. A recent line of results by Jin, Huang, Tang, and Xiao [ICML'21] and Assadi and Wang [COLT'24] have shown that if there is no known $\\Delta_{[2]}$, a pass complexity of $\\Theta(\\log(1/\\Delta_{[2]}))$ (up to $\\log\\log(1/\\Delta_{[2]})$ terms) is necessary and sufficient to obtain"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2502.01067","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2025-02-03T05:24:35Z","cross_cats_sorted":["cs.DS"],"title_canon_sha256":"bdfef31ef3a019ee1da6387687825a7c539b52ea74bb8a51f669737f5990c823","abstract_canon_sha256":"1d71fd4d6394ae4dfa855410e4ad6c26dcfd51da66686f2fb6c2f2a143d7d249"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:08:42.501291Z","signature_b64":"OgtzheBZHjP36nN9YPYFiTZleVTnQBj4ucNmmxxXj75M0p30HobzrAf5wKW0QMDCpfrymCuH3KFWOtbn/WhaAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ef459dbb14385cc4f3c7da5272554a170250f4fe8dcd9030bb0963681346b5dd","last_reissued_at":"2026-07-05T10:08:42.500929Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:08:42.500929Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Nearly Tight Bounds for Exploration in Streaming Multi-armed Bandits with Known Optimality Gap","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.DS"],"primary_cat":"cs.LG","authors_text":"Chen Wang, Nikolai Karpov","submitted_at":"2025-02-03T05:24:35Z","abstract_excerpt":"We investigate the sample-memory-pass trade-offs for pure exploration in multi-pass streaming multi-armed bandits (MABs) with the *a priori* knowledge of the optimality gap $\\Delta_{[2]}$. Here, and throughout, the optimality gap $\\Delta_{[i]}$ is defined as the mean reward gap between the best and the $i$-th best arms. A recent line of results by Jin, Huang, Tang, and Xiao [ICML'21] and Assadi and Wang [COLT'24] have shown that if there is no known $\\Delta_{[2]}$, a pass complexity of $\\Theta(\\log(1/\\Delta_{[2]}))$ (up to $\\log\\log(1/\\Delta_{[2]})$ terms) is necessary and sufficient to obtain"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.01067","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2502.01067/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2502.01067","created_at":"2026-07-05T10:08:42.500985+00:00"},{"alias_kind":"arxiv_version","alias_value":"2502.01067v1","created_at":"2026-07-05T10:08:42.500985+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.01067","created_at":"2026-07-05T10:08:42.500985+00:00"},{"alias_kind":"pith_short_12","alias_value":"55CZ3OYUHBOM","created_at":"2026-07-05T10:08:42.500985+00:00"},{"alias_kind":"pith_short_16","alias_value":"55CZ3OYUHBOMJ46H","created_at":"2026-07-05T10:08:42.500985+00:00"},{"alias_kind":"pith_short_8","alias_value":"55CZ3OYU","created_at":"2026-07-05T10:08:42.500985+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/55CZ3OYUHBOMJ46H3JJHEVKKC4","json":"https://pith.science/pith/55CZ3OYUHBOMJ46H3JJHEVKKC4.json","graph_json":"https://pith.science/api/pith-number/55CZ3OYUHBOMJ46H3JJHEVKKC4/graph.json","events_json":"https://pith.science/api/pith-number/55CZ3OYUHBOMJ46H3JJHEVKKC4/events.json","paper":"https://pith.science/paper/55CZ3OYU"},"agent_actions":{"view_html":"https://pith.science/pith/55CZ3OYUHBOMJ46H3JJHEVKKC4","download_json":"https://pith.science/pith/55CZ3OYUHBOMJ46H3JJHEVKKC4.json","view_paper":"https://pith.science/paper/55CZ3OYU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2502.01067&json=true","fetch_graph":"https://pith.science/api/pith-number/55CZ3OYUHBOMJ46H3JJHEVKKC4/graph.json","fetch_events":"https://pith.science/api/pith-number/55CZ3OYUHBOMJ46H3JJHEVKKC4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/55CZ3OYUHBOMJ46H3JJHEVKKC4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/55CZ3OYUHBOMJ46H3JJHEVKKC4/action/storage_attestation","attest_author":"https://pith.science/pith/55CZ3OYUHBOMJ46H3JJHEVKKC4/action/author_attestation","sign_citation":"https://pith.science/pith/55CZ3OYUHBOMJ46H3JJHEVKKC4/action/citation_signature","submit_replication":"https://pith.science/pith/55CZ3OYUHBOMJ46H3JJHEVKKC4/action/replication_record"}},"created_at":"2026-07-05T10:08:42.500985+00:00","updated_at":"2026-07-05T10:08:42.500985+00:00"}