{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:FMXHEOWBT3TAFVWOMOBZTMRWAW","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":"ca3f5de743ed7631323c08a7026df9469ed858000cf3adb583895f894147b03f","cross_cats_sorted":["stat.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2011-12-20T16:30:09Z","title_canon_sha256":"5066df9decc7f7fc2fe7b8ddbd0c648fdf13a7b03dffbe8a8915ac287f7007b2"},"schema_version":"1.0","source":{"id":"1112.4755","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.4755","created_at":"2026-05-18T03:39:03Z"},{"alias_kind":"arxiv_version","alias_value":"1112.4755v2","created_at":"2026-05-18T03:39:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.4755","created_at":"2026-05-18T03:39:03Z"},{"alias_kind":"pith_short_12","alias_value":"FMXHEOWBT3TA","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"FMXHEOWBT3TAFVWO","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"FMXHEOWB","created_at":"2026-05-18T12:26:28Z"}],"graph_snapshots":[{"event_id":"sha256:a2dfce0037f7437cbd617a78ad9a626e77b512a275a2da85c99cbe48d4c037ba","target":"graph","created_at":"2026-05-18T03:39:03Z","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":"Bayes linear analysis and approximate Bayesian computation (ABC) are techniques commonly used in the Bayesian analysis of complex models. In this article we connect these ideas by demonstrating that regression-adjustment ABC algorithms produce samples for which first and second order moment summaries approximate adjusted expectation and variance for a Bayes linear analysis. This gives regression-adjustment methods a useful interpretation and role in exploratory analysis in high-dimensional problems. As a result, we propose a new method for combining high-dimensional, regression-adjustment ABC ","authors_text":"D. J. Nott, L. Marshall, S. A. Sisson, Y. Fan","cross_cats":["stat.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2011-12-20T16:30:09Z","title":"Approximate Bayesian computation and Bayes linear analysis: Towards high-dimensional ABC"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.4755","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":"sha256:2e1a343fd5af38b6e8e68329bc81683bca64947c80726d1cf7e65091a52b1016","target":"record","created_at":"2026-05-18T03:39:03Z","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":"ca3f5de743ed7631323c08a7026df9469ed858000cf3adb583895f894147b03f","cross_cats_sorted":["stat.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2011-12-20T16:30:09Z","title_canon_sha256":"5066df9decc7f7fc2fe7b8ddbd0c648fdf13a7b03dffbe8a8915ac287f7007b2"},"schema_version":"1.0","source":{"id":"1112.4755","kind":"arxiv","version":2}},"canonical_sha256":"2b2e723ac19ee602d6ce638399b236059f187950c8b3621ad4fded615a47fae5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2b2e723ac19ee602d6ce638399b236059f187950c8b3621ad4fded615a47fae5","first_computed_at":"2026-05-18T03:39:03.702046Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:39:03.702046Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UmU2AwOHGhS6QqIxbIQhzVn8nCcQVzAUv8K/Oi/OcRqoQdojk96L6fkG1g2H9MfxTLaleCRoIVbKpddC1ALvBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:39:03.702657Z","signed_message":"canonical_sha256_bytes"},"source_id":"1112.4755","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2e1a343fd5af38b6e8e68329bc81683bca64947c80726d1cf7e65091a52b1016","sha256:a2dfce0037f7437cbd617a78ad9a626e77b512a275a2da85c99cbe48d4c037ba"],"state_sha256":"7787c79acc3a3501c45c07ab0410a0173d1adf005faf177860cddffcd0a617de"}