{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:OU4GZUTATNF2W3EAKZ4O6TE7EM","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":"5fe45c9b169c23a6ce483303cc3fd86a5facdefa3303fa246e801699631da7cc","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2011-01-31T00:44:45Z","title_canon_sha256":"4cc3ab2d35761532a063abc47c1024ae262b0e83b75791a99d43ea168c9c2e23"},"schema_version":"1.0","source":{"id":"1101.5838","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.5838","created_at":"2026-05-18T03:32:28Z"},{"alias_kind":"arxiv_version","alias_value":"1101.5838v2","created_at":"2026-05-18T03:32:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.5838","created_at":"2026-05-18T03:32:28Z"},{"alias_kind":"pith_short_12","alias_value":"OU4GZUTATNF2","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_16","alias_value":"OU4GZUTATNF2W3EA","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_8","alias_value":"OU4GZUTA","created_at":"2026-05-18T12:26:37Z"}],"graph_snapshots":[{"event_id":"sha256:b02f8f34f3b72f294bcca6e66fd9be87d87752746eac2849d1614483e6625695","target":"graph","created_at":"2026-05-18T03:32:28Z","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 various versions of adaptive Gibbs and Metropolis-within-Gibbs samplers, which update their selection probabilities (and perhaps also their proposal distributions) on the fly during a run by learning as they go in an attempt to optimize the algorithm. We present a cautionary example of how even a simple-seeming adaptive Gibbs sampler may fail to converge. We then present various positive results guaranteeing convergence of adaptive Gibbs samplers under certain conditions.","authors_text":"Gareth O. Roberts, Jeffrey S. Rosenthal, Krzysztof {\\L}atuszy\\'nski","cross_cats":["math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2011-01-31T00:44:45Z","title":"Adaptive Gibbs samplers and related MCMC methods"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.5838","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":"sha256:0d069649df06ced5661487078ecb7e9127a7c36e844a6918a3a360481d1916a1","target":"record","created_at":"2026-05-18T03:32:28Z","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":"5fe45c9b169c23a6ce483303cc3fd86a5facdefa3303fa246e801699631da7cc","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2011-01-31T00:44:45Z","title_canon_sha256":"4cc3ab2d35761532a063abc47c1024ae262b0e83b75791a99d43ea168c9c2e23"},"schema_version":"1.0","source":{"id":"1101.5838","kind":"arxiv","version":2}},"canonical_sha256":"75386cd2609b4bab6c805678ef4c9f2301b9b75135c7c7fbf69aadc1e0e84b17","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"75386cd2609b4bab6c805678ef4c9f2301b9b75135c7c7fbf69aadc1e0e84b17","first_computed_at":"2026-05-18T03:32:28.776362Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:32:28.776362Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"x9YYxjGAFXopxRe5NWt7e9h+BfGHpTPiqHTstbKtQOEKMpAcE4QMXecZrngfGKYP8PNTzbrWfWQw3JhWa1zqAg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:32:28.777018Z","signed_message":"canonical_sha256_bytes"},"source_id":"1101.5838","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0d069649df06ced5661487078ecb7e9127a7c36e844a6918a3a360481d1916a1","sha256:b02f8f34f3b72f294bcca6e66fd9be87d87752746eac2849d1614483e6625695"],"state_sha256":"e2e0030f35a305f6e5c5eb41f7d4b534698ed23089c718de5bbbccc84611a3f3"}