{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:FX5WNWYHNTLHSUTPV73X3F6NPT","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":"1b17616068b1202c1b8f579e1bc687b7709a110b42a2f5cf4ed7711b6578373a","cross_cats_sorted":["stat.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2012-07-29T14:11:40Z","title_canon_sha256":"8433ec0638efdcaddd65426c8a9ee49d543874a5ee20d4c7f3a6b405833145d8"},"schema_version":"1.0","source":{"id":"1207.6779","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.6779","created_at":"2026-05-18T02:46:31Z"},{"alias_kind":"arxiv_version","alias_value":"1207.6779v2","created_at":"2026-05-18T02:46:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.6779","created_at":"2026-05-18T02:46:31Z"},{"alias_kind":"pith_short_12","alias_value":"FX5WNWYHNTLH","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_16","alias_value":"FX5WNWYHNTLHSUTP","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_8","alias_value":"FX5WNWYH","created_at":"2026-05-18T12:27:06Z"}],"graph_snapshots":[{"event_id":"sha256:62751704c59b38aa65563a38f9184d9b82e5981f9d64a3b0f67f7e9ba68f74d7","target":"graph","created_at":"2026-05-18T02:46:31Z","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":"This paper studies the mixing time of certain adaptive Markov Chain Monte Carlo algorithms. Under some regularity conditions, we show that the convergence rate of Importance Resampling MCMC (IRMCMC) algorithm, measured in terms of the total variation distance is $O(n^{-1})$, and by means of an example, we establish that in general, this algorithm does not converge at a faster rate. We also study the Equi-Energy sampler and establish that its mixing time is of order $O(n^{-1/2})$.","authors_text":"Yizao Wang, Yves Atchad\\'e","cross_cats":["stat.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2012-07-29T14:11:40Z","title":"On the Convergence Rates of Some Adaptive Markov Chain Monte Carlo Algorithms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.6779","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":"sha256:3e0ea2bb47fa66503ab45fe8a051e91ed72ff9623f0a7c16dc5eac4aeaa7cff7","target":"record","created_at":"2026-05-18T02:46:31Z","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":"1b17616068b1202c1b8f579e1bc687b7709a110b42a2f5cf4ed7711b6578373a","cross_cats_sorted":["stat.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2012-07-29T14:11:40Z","title_canon_sha256":"8433ec0638efdcaddd65426c8a9ee49d543874a5ee20d4c7f3a6b405833145d8"},"schema_version":"1.0","source":{"id":"1207.6779","kind":"arxiv","version":2}},"canonical_sha256":"2dfb66db076cd679526faff77d97cd7cf7e95f0b8805a9da78f7b0f33d129c4c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2dfb66db076cd679526faff77d97cd7cf7e95f0b8805a9da78f7b0f33d129c4c","first_computed_at":"2026-05-18T02:46:31.552887Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:46:31.552887Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ncpVeBPzele714m8MJgQ9vdRaUfXMN0f6oPBerN0y1xj4aVwHyc5UweCZRmbBFpPO3SnCRDiQRX+7fP7Ssh/Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:46:31.553353Z","signed_message":"canonical_sha256_bytes"},"source_id":"1207.6779","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3e0ea2bb47fa66503ab45fe8a051e91ed72ff9623f0a7c16dc5eac4aeaa7cff7","sha256:62751704c59b38aa65563a38f9184d9b82e5981f9d64a3b0f67f7e9ba68f74d7"],"state_sha256":"a2be1e6ed9b8c2193712e38b96a3e9a3367da1c1d7982e78ef9df4fc28828ae6"}