{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:ZTCIIDU2KIKDXMLIPR5QIB52WA","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":"6fd325a183940be3f98ea861f1e91f385547b131af700401c36085e5e364a912","cross_cats_sorted":["cs.LG","stat.ML"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.DS","submitted_at":"2017-12-25T05:04:35Z","title_canon_sha256":"ace7934a12c1432b78b9bc1e3158f3159da0142128ac7bca8d0c5d262b674852"},"schema_version":"1.0","source":{"id":"1712.09007","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.09007","created_at":"2026-05-18T00:15:52Z"},{"alias_kind":"arxiv_version","alias_value":"1712.09007v2","created_at":"2026-05-18T00:15:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.09007","created_at":"2026-05-18T00:15:52Z"},{"alias_kind":"pith_short_12","alias_value":"ZTCIIDU2KIKD","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_16","alias_value":"ZTCIIDU2KIKDXMLI","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_8","alias_value":"ZTCIIDU2","created_at":"2026-05-18T12:31:59Z"}],"graph_snapshots":[{"event_id":"sha256:a36a0b9eb7dd26725470beece173808492a332d15c356b6202b22dbe542718c1","target":"graph","created_at":"2026-05-18T00:15:52Z","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 consider the stochastic bandit problem in the sublinear space setting, where one cannot record the win-loss record for all $K$ arms. We give an algorithm using $O(1)$ words of space with regret \\[\n  \\sum_{i=1}^{K}\\frac{1}{\\Delta_i}\\log \\frac{\\Delta_i}{\\Delta}\\log T \\] where $\\Delta_i$ is the gap between the best arm and arm $i$ and $\\Delta$ is the gap between the best and the second-best arms. If the rewards are bounded away from $0$ and $1$, this is within an $O(\\log 1/\\Delta)$ factor of the optimum regret possible without space constraints.","authors_text":"David Liau, Eric Price, Ger Yang, Zhao Song","cross_cats":["cs.LG","stat.ML"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.DS","submitted_at":"2017-12-25T05:04:35Z","title":"Stochastic Multi-armed Bandits in Constant Space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.09007","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":"sha256:5b430eeebf2318e7bf39dd1103a8cada6aa9d76105d0cb9f1952a2618c15bfd3","target":"record","created_at":"2026-05-18T00:15:52Z","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":"6fd325a183940be3f98ea861f1e91f385547b131af700401c36085e5e364a912","cross_cats_sorted":["cs.LG","stat.ML"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.DS","submitted_at":"2017-12-25T05:04:35Z","title_canon_sha256":"ace7934a12c1432b78b9bc1e3158f3159da0142128ac7bca8d0c5d262b674852"},"schema_version":"1.0","source":{"id":"1712.09007","kind":"arxiv","version":2}},"canonical_sha256":"ccc4840e9a52143bb1687c7b0407bab0314828d151f75d252370ef649bd88b80","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ccc4840e9a52143bb1687c7b0407bab0314828d151f75d252370ef649bd88b80","first_computed_at":"2026-05-18T00:15:52.040064Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:15:52.040064Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5rD2MEYNclKKXdIpbwyaFSUMIOrz89D2H+2SpD+jMV+jFLcIy0BD3z+TBIc7pZd2X+b1erjYRDDkmUsfFheQAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:15:52.040731Z","signed_message":"canonical_sha256_bytes"},"source_id":"1712.09007","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5b430eeebf2318e7bf39dd1103a8cada6aa9d76105d0cb9f1952a2618c15bfd3","sha256:a36a0b9eb7dd26725470beece173808492a332d15c356b6202b22dbe542718c1"],"state_sha256":"dc4b5674d6843b41b96d91a6b08817cb9887098ee3f672334d0c7e5c8bbd55a0"}