{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:2BA2LOMLNSDAMELON4S4D6FVDC","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":"a7f00765dd52dd1a440fdff4b94fb967f96f417be22c5f49d6066afd63f6982d","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2014-06-20T14:05:24Z","title_canon_sha256":"0adc37de88aeb7a6c3ee6e91a0e1c39fe0cd9495264662efdf5096cbb02a78b2"},"schema_version":"1.0","source":{"id":"1406.5392","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.5392","created_at":"2026-05-18T01:14:18Z"},{"alias_kind":"arxiv_version","alias_value":"1406.5392v2","created_at":"2026-05-18T01:14:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.5392","created_at":"2026-05-18T01:14:18Z"},{"alias_kind":"pith_short_12","alias_value":"2BA2LOMLNSDA","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_16","alias_value":"2BA2LOMLNSDAMELO","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_8","alias_value":"2BA2LOML","created_at":"2026-05-18T12:28:09Z"}],"graph_snapshots":[{"event_id":"sha256:c02ff536fe4fd6536cb38ff4e98bd7217d2c9c5efd1c753007ec348e228077cf","target":"graph","created_at":"2026-05-18T01:14:18Z","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":"The choice of the increment distribution is crucial for the random-walk Metropolis-Hastings (RWM) algorithm. In this paper we study the optimal choice in high-dimension setting among all possible increment distributions. The conclusion is rather counter intuitive, but the optimal rate of convergence is attained by the usual choice, the normal distribution as the increment distribution. In particular, no heavy-tailed increment distribution can improve the rate.","authors_text":"Kengo Kamatani","cross_cats":["math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2014-06-20T14:05:24Z","title":"Rate optimality of Random walk Metropolis algorithm in high-dimension with heavy-tailed target distribution"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.5392","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":"sha256:6699e30fa08af09a70acb06f28a271029866761696dec3a65584cac1b8d02f50","target":"record","created_at":"2026-05-18T01:14:18Z","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":"a7f00765dd52dd1a440fdff4b94fb967f96f417be22c5f49d6066afd63f6982d","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2014-06-20T14:05:24Z","title_canon_sha256":"0adc37de88aeb7a6c3ee6e91a0e1c39fe0cd9495264662efdf5096cbb02a78b2"},"schema_version":"1.0","source":{"id":"1406.5392","kind":"arxiv","version":2}},"canonical_sha256":"d041a5b98b6c8606116e6f25c1f8b518a3ac6cb4ec3032144695bfd5c479b059","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d041a5b98b6c8606116e6f25c1f8b518a3ac6cb4ec3032144695bfd5c479b059","first_computed_at":"2026-05-18T01:14:18.374225Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:14:18.374225Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jkDaRXK6cbS4r4hPbrccS4UkMPiN/YakhNcvqQ2HBA/1RGc20V1bB5Au0wCX49ki3LO2JCRyZ8Vo2L4cp2fzCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:14:18.374784Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.5392","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6699e30fa08af09a70acb06f28a271029866761696dec3a65584cac1b8d02f50","sha256:c02ff536fe4fd6536cb38ff4e98bd7217d2c9c5efd1c753007ec348e228077cf"],"state_sha256":"d90b6371d74e1c2fc28bac62356f6173ad01c43225ea32e44bb16e812c560bc4"}