{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:H5T3ROWFRUJC77RA5YQ7S6BF7H","short_pith_number":"pith:H5T3ROWF","schema_version":"1.0","canonical_sha256":"3f67b8bac58d122ffe20ee21f97825f9c6cef97fcf5a1a36dc80f6dd782a57db","source":{"kind":"arxiv","id":"1509.02230","version":2},"attestation_state":"computed","paper":{"title":"Properties of the Affine Invariant Ensemble Sampler in high dimensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.data-an"],"primary_cat":"stat.CO","authors_text":"Brendon J. Brewer, David Huijser, Jesse Goodman","submitted_at":"2015-09-07T23:55:57Z","abstract_excerpt":"We present theoretical and practical properties of the affine-invariant ensemble sampler Markov chain Monte Carlo method. In high dimensions the affine-invariant ensemble sampler shows unusual and undesirable properties. We demonstrate this with an $n$-dimensional correlated Gaussian toy problem with a known mean and covariance structure, and analyse the burn-in period. The burn-in period seems to be short, however upon closer inspection we discover the mean and the variance of the target distribution do not match the expected, known values. This problem becomes greater as $n$ increases. We th"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1509.02230","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2015-09-07T23:55:57Z","cross_cats_sorted":["physics.data-an"],"title_canon_sha256":"ba4d3168e7040c6f27d65a42a0d438002387500895d7168d19f7c1805ae28934","abstract_canon_sha256":"1342be48bdb09df6b15fe12190f912d898df0d48ac3709cfd29d37971bee4d85"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:37:48.867345Z","signature_b64":"ach/jc1+ckWZVrCg+dW9MJP+D+uzu6T1KNwUnxHgT3ZOu+WjhS1WHkGB8neBE5QIqJDPmj0t+hvX97UD1me/CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3f67b8bac58d122ffe20ee21f97825f9c6cef97fcf5a1a36dc80f6dd782a57db","last_reissued_at":"2026-05-18T00:37:48.866883Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:37:48.866883Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Properties of the Affine Invariant Ensemble Sampler in high dimensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.data-an"],"primary_cat":"stat.CO","authors_text":"Brendon J. Brewer, David Huijser, Jesse Goodman","submitted_at":"2015-09-07T23:55:57Z","abstract_excerpt":"We present theoretical and practical properties of the affine-invariant ensemble sampler Markov chain Monte Carlo method. In high dimensions the affine-invariant ensemble sampler shows unusual and undesirable properties. We demonstrate this with an $n$-dimensional correlated Gaussian toy problem with a known mean and covariance structure, and analyse the burn-in period. The burn-in period seems to be short, however upon closer inspection we discover the mean and the variance of the target distribution do not match the expected, known values. This problem becomes greater as $n$ increases. We th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.02230","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":""},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1509.02230","created_at":"2026-05-18T00:37:48.866953+00:00"},{"alias_kind":"arxiv_version","alias_value":"1509.02230v2","created_at":"2026-05-18T00:37:48.866953+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.02230","created_at":"2026-05-18T00:37:48.866953+00:00"},{"alias_kind":"pith_short_12","alias_value":"H5T3ROWFRUJC","created_at":"2026-05-18T12:29:22.688609+00:00"},{"alias_kind":"pith_short_16","alias_value":"H5T3ROWFRUJC77RA","created_at":"2026-05-18T12:29:22.688609+00:00"},{"alias_kind":"pith_short_8","alias_value":"H5T3ROWF","created_at":"2026-05-18T12:29:22.688609+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/H5T3ROWFRUJC77RA5YQ7S6BF7H","json":"https://pith.science/pith/H5T3ROWFRUJC77RA5YQ7S6BF7H.json","graph_json":"https://pith.science/api/pith-number/H5T3ROWFRUJC77RA5YQ7S6BF7H/graph.json","events_json":"https://pith.science/api/pith-number/H5T3ROWFRUJC77RA5YQ7S6BF7H/events.json","paper":"https://pith.science/paper/H5T3ROWF"},"agent_actions":{"view_html":"https://pith.science/pith/H5T3ROWFRUJC77RA5YQ7S6BF7H","download_json":"https://pith.science/pith/H5T3ROWFRUJC77RA5YQ7S6BF7H.json","view_paper":"https://pith.science/paper/H5T3ROWF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1509.02230&json=true","fetch_graph":"https://pith.science/api/pith-number/H5T3ROWFRUJC77RA5YQ7S6BF7H/graph.json","fetch_events":"https://pith.science/api/pith-number/H5T3ROWFRUJC77RA5YQ7S6BF7H/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/H5T3ROWFRUJC77RA5YQ7S6BF7H/action/timestamp_anchor","attest_storage":"https://pith.science/pith/H5T3ROWFRUJC77RA5YQ7S6BF7H/action/storage_attestation","attest_author":"https://pith.science/pith/H5T3ROWFRUJC77RA5YQ7S6BF7H/action/author_attestation","sign_citation":"https://pith.science/pith/H5T3ROWFRUJC77RA5YQ7S6BF7H/action/citation_signature","submit_replication":"https://pith.science/pith/H5T3ROWFRUJC77RA5YQ7S6BF7H/action/replication_record"}},"created_at":"2026-05-18T00:37:48.866953+00:00","updated_at":"2026-05-18T00:37:48.866953+00:00"}