{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:IBRKM2EFV6MIEC627ELNNWFR43","short_pith_number":"pith:IBRKM2EF","canonical_record":{"source":{"id":"2412.08843","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2024-12-12T00:44:43Z","cross_cats_sorted":["cs.LG","math.ST","stat.TH"],"title_canon_sha256":"0a2c4a53b796b3f7ce8d05b0b24373c45b21b69d290843869d6eac20967879c6","abstract_canon_sha256":"a6e91c8ffe26f2220b093f4e8855df2c6673f3797edd5598a89bd7ff3c0cac2d"},"schema_version":"1.0"},"canonical_sha256":"4062a66885af98820bdaf916d6d8b1e6c98af5a56adf855cf6e98fdd978c6119","source":{"kind":"arxiv","id":"2412.08843","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.08843","created_at":"2026-07-05T10:14:49Z"},{"alias_kind":"arxiv_version","alias_value":"2412.08843v2","created_at":"2026-07-05T10:14:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.08843","created_at":"2026-07-05T10:14:49Z"},{"alias_kind":"pith_short_12","alias_value":"IBRKM2EFV6MI","created_at":"2026-07-05T10:14:49Z"},{"alias_kind":"pith_short_16","alias_value":"IBRKM2EFV6MIEC62","created_at":"2026-07-05T10:14:49Z"},{"alias_kind":"pith_short_8","alias_value":"IBRKM2EF","created_at":"2026-07-05T10:14:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:IBRKM2EFV6MIEC627ELNNWFR43","target":"record","payload":{"canonical_record":{"source":{"id":"2412.08843","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2024-12-12T00:44:43Z","cross_cats_sorted":["cs.LG","math.ST","stat.TH"],"title_canon_sha256":"0a2c4a53b796b3f7ce8d05b0b24373c45b21b69d290843869d6eac20967879c6","abstract_canon_sha256":"a6e91c8ffe26f2220b093f4e8855df2c6673f3797edd5598a89bd7ff3c0cac2d"},"schema_version":"1.0"},"canonical_sha256":"4062a66885af98820bdaf916d6d8b1e6c98af5a56adf855cf6e98fdd978c6119","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:14:49.065094Z","signature_b64":"CLu3z8UeRDt9q15A9LDuvCJzQyS1ekHP2IKeIlM/+0bwSqo34epXrGYb4hE6uuWgu/JPqtiV7t195YXJ7Mb1BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4062a66885af98820bdaf916d6d8b1e6c98af5a56adf855cf6e98fdd978c6119","last_reissued_at":"2026-07-05T10:14:49.064596Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:14:49.064596Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2412.08843","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T10:14:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9XjETXcuSFnCF61qWLWXnd7LkR7pUz65CZn89oFY1Xd1bQinAdNynTR5vNMIhHx+pVVXKFhoNTYeecfW2kt4Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T11:17:07.838858Z"},"content_sha256":"ee5623c0e26ae939c5c88c67f13aecd33b8a3d2953e22f7fb482f51fb5488f4a","schema_version":"1.0","event_id":"sha256:ee5623c0e26ae939c5c88c67f13aecd33b8a3d2953e22f7fb482f51fb5488f4a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:IBRKM2EFV6MIEC627ELNNWFR43","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Precise Asymptotics and Refined Regret of Variance-Aware UCB","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LG","math.ST","stat.TH"],"primary_cat":"stat.ML","authors_text":"Jinchi Lv, Xiaocong Xu, Yingying Fan, Yuxuan Han, Zhengyuan Zhou","submitted_at":"2024-12-12T00:44:43Z","abstract_excerpt":"In this paper, we study the behavior of the Upper Confidence Bound-Variance (UCB-V) algorithm for the Multi-Armed Bandit (MAB) problems, a variant of the canonical Upper Confidence Bound (UCB) algorithm that incorporates variance estimates into its decision-making process. More precisely, we provide an asymptotic characterization of the arm-pulling rates for UCB-V, extending recent results for the canonical UCB in Kalvit and Zeevi (2021) and Khamaru and Zhang (2024). In an interesting contrast to the canonical UCB, our analysis reveals that the behavior of UCB-V can exhibit instability, meanin"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.08843","kind":"arxiv","version":2},"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/2412.08843/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T10:14:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"COhUK+vttXlWgIGTHllN0iYaOm9zjYek/dQHPrypdStG8qoeI2I6oqSG9PIZR3VNYxAdkjkLw2JJQLlOCQX1DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T11:17:07.839751Z"},"content_sha256":"d5b97a7dbf883c22e3659140ade9e25595d127be3938d410466ad7bb6f0775c4","schema_version":"1.0","event_id":"sha256:d5b97a7dbf883c22e3659140ade9e25595d127be3938d410466ad7bb6f0775c4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IBRKM2EFV6MIEC627ELNNWFR43/bundle.json","state_url":"https://pith.science/pith/IBRKM2EFV6MIEC627ELNNWFR43/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IBRKM2EFV6MIEC627ELNNWFR43/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-12T11:17:07Z","links":{"resolver":"https://pith.science/pith/IBRKM2EFV6MIEC627ELNNWFR43","bundle":"https://pith.science/pith/IBRKM2EFV6MIEC627ELNNWFR43/bundle.json","state":"https://pith.science/pith/IBRKM2EFV6MIEC627ELNNWFR43/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IBRKM2EFV6MIEC627ELNNWFR43/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:IBRKM2EFV6MIEC627ELNNWFR43","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":"a6e91c8ffe26f2220b093f4e8855df2c6673f3797edd5598a89bd7ff3c0cac2d","cross_cats_sorted":["cs.LG","math.ST","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2024-12-12T00:44:43Z","title_canon_sha256":"0a2c4a53b796b3f7ce8d05b0b24373c45b21b69d290843869d6eac20967879c6"},"schema_version":"1.0","source":{"id":"2412.08843","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.08843","created_at":"2026-07-05T10:14:49Z"},{"alias_kind":"arxiv_version","alias_value":"2412.08843v2","created_at":"2026-07-05T10:14:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.08843","created_at":"2026-07-05T10:14:49Z"},{"alias_kind":"pith_short_12","alias_value":"IBRKM2EFV6MI","created_at":"2026-07-05T10:14:49Z"},{"alias_kind":"pith_short_16","alias_value":"IBRKM2EFV6MIEC62","created_at":"2026-07-05T10:14:49Z"},{"alias_kind":"pith_short_8","alias_value":"IBRKM2EF","created_at":"2026-07-05T10:14:49Z"}],"graph_snapshots":[{"event_id":"sha256:d5b97a7dbf883c22e3659140ade9e25595d127be3938d410466ad7bb6f0775c4","target":"graph","created_at":"2026-07-05T10:14:49Z","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/2412.08843/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we study the behavior of the Upper Confidence Bound-Variance (UCB-V) algorithm for the Multi-Armed Bandit (MAB) problems, a variant of the canonical Upper Confidence Bound (UCB) algorithm that incorporates variance estimates into its decision-making process. More precisely, we provide an asymptotic characterization of the arm-pulling rates for UCB-V, extending recent results for the canonical UCB in Kalvit and Zeevi (2021) and Khamaru and Zhang (2024). In an interesting contrast to the canonical UCB, our analysis reveals that the behavior of UCB-V can exhibit instability, meanin","authors_text":"Jinchi Lv, Xiaocong Xu, Yingying Fan, Yuxuan Han, Zhengyuan Zhou","cross_cats":["cs.LG","math.ST","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2024-12-12T00:44:43Z","title":"Precise Asymptotics and Refined Regret of Variance-Aware UCB"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.08843","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:ee5623c0e26ae939c5c88c67f13aecd33b8a3d2953e22f7fb482f51fb5488f4a","target":"record","created_at":"2026-07-05T10:14:49Z","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":"a6e91c8ffe26f2220b093f4e8855df2c6673f3797edd5598a89bd7ff3c0cac2d","cross_cats_sorted":["cs.LG","math.ST","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2024-12-12T00:44:43Z","title_canon_sha256":"0a2c4a53b796b3f7ce8d05b0b24373c45b21b69d290843869d6eac20967879c6"},"schema_version":"1.0","source":{"id":"2412.08843","kind":"arxiv","version":2}},"canonical_sha256":"4062a66885af98820bdaf916d6d8b1e6c98af5a56adf855cf6e98fdd978c6119","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4062a66885af98820bdaf916d6d8b1e6c98af5a56adf855cf6e98fdd978c6119","first_computed_at":"2026-07-05T10:14:49.064596Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:14:49.064596Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CLu3z8UeRDt9q15A9LDuvCJzQyS1ekHP2IKeIlM/+0bwSqo34epXrGYb4hE6uuWgu/JPqtiV7t195YXJ7Mb1BA==","signature_status":"signed_v1","signed_at":"2026-07-05T10:14:49.065094Z","signed_message":"canonical_sha256_bytes"},"source_id":"2412.08843","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ee5623c0e26ae939c5c88c67f13aecd33b8a3d2953e22f7fb482f51fb5488f4a","sha256:d5b97a7dbf883c22e3659140ade9e25595d127be3938d410466ad7bb6f0775c4"],"state_sha256":"f847bfb8ecdf89b17eba7882d1972316ccd026bdee810debf3ea136b79ed4034"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kZ5ieOODISQETwbl17Nkt0u/SPRQ7g6CoxnPTaxiN096ICq4vOauLkCwuJZPYDyOB+MQCkcj0M6O1dHg48D+Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-12T11:17:07.852675Z","bundle_sha256":"3618b669326b2fabbcbd2f8962fad38402c36e862c0145f2ee7d1324c1e026ac"}}