{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:EZ62LPMJ47ELYVMDUQDGWWL6WV","short_pith_number":"pith:EZ62LPMJ","schema_version":"1.0","canonical_sha256":"267da5bd89e7c8bc5583a4066b597eb57cab5a613d799034108fe28c379a369a","source":{"kind":"arxiv","id":"1601.02557","version":3},"attestation_state":"computed","paper":{"title":"Bayesian subset simulation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.CO","authors_text":"Emmanuel Vazquez (L2S, GdR MASCOT-NUM), Julien Bect (L2S, Ling Li (L2S","submitted_at":"2016-01-11T19:07:49Z","abstract_excerpt":"We consider the problem of estimating a probability of failure $\\alpha$, defined as the volume of the excursion set of a function $f:\\mathbb{X} \\subseteq \\mathbb{R}^{d} \\to \\mathbb{R}$ above a given threshold, under a given probability measure on $\\mathbb{X}$. In this article, we combine the popular subset simulation algorithm (Au and Beck, Probab. Eng. Mech. 2001) and our sequential Bayesian approach for the estimation of a probability of failure (Bect, Ginsbourger, Li, Picheny and Vazquez, Stat. Comput. 2012). This makes it possible to estimate $\\alpha$ when the number of evaluations of $f$ "},"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":"1601.02557","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2016-01-11T19:07:49Z","cross_cats_sorted":[],"title_canon_sha256":"9ff9691f80c6f2ac27a136a9d90826f9e619374d35771f353be7b50d9094c77b","abstract_canon_sha256":"5915eb3aa4934a9868ce178cf78cb8420db4eef11794edf8cc3faf9a0207583f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:36:51.729631Z","signature_b64":"0et67z6SX2rKmL6A08KM+GZ8NEtjqIDrME5Edk6fZB2Ixu+w2FToeRtExEmwm0RRBjFOuAuctZV/nFreLWi0Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"267da5bd89e7c8bc5583a4066b597eb57cab5a613d799034108fe28c379a369a","last_reissued_at":"2026-05-18T00:36:51.729034Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:36:51.729034Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Bayesian subset simulation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.CO","authors_text":"Emmanuel Vazquez (L2S, GdR MASCOT-NUM), Julien Bect (L2S, Ling Li (L2S","submitted_at":"2016-01-11T19:07:49Z","abstract_excerpt":"We consider the problem of estimating a probability of failure $\\alpha$, defined as the volume of the excursion set of a function $f:\\mathbb{X} \\subseteq \\mathbb{R}^{d} \\to \\mathbb{R}$ above a given threshold, under a given probability measure on $\\mathbb{X}$. In this article, we combine the popular subset simulation algorithm (Au and Beck, Probab. Eng. Mech. 2001) and our sequential Bayesian approach for the estimation of a probability of failure (Bect, Ginsbourger, Li, Picheny and Vazquez, Stat. Comput. 2012). This makes it possible to estimate $\\alpha$ when the number of evaluations of $f$ "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.02557","kind":"arxiv","version":3},"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":"1601.02557","created_at":"2026-05-18T00:36:51.729128+00:00"},{"alias_kind":"arxiv_version","alias_value":"1601.02557v3","created_at":"2026-05-18T00:36:51.729128+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.02557","created_at":"2026-05-18T00:36:51.729128+00:00"},{"alias_kind":"pith_short_12","alias_value":"EZ62LPMJ47EL","created_at":"2026-05-18T12:30:15.759754+00:00"},{"alias_kind":"pith_short_16","alias_value":"EZ62LPMJ47ELYVMD","created_at":"2026-05-18T12:30:15.759754+00:00"},{"alias_kind":"pith_short_8","alias_value":"EZ62LPMJ","created_at":"2026-05-18T12:30:15.759754+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/EZ62LPMJ47ELYVMDUQDGWWL6WV","json":"https://pith.science/pith/EZ62LPMJ47ELYVMDUQDGWWL6WV.json","graph_json":"https://pith.science/api/pith-number/EZ62LPMJ47ELYVMDUQDGWWL6WV/graph.json","events_json":"https://pith.science/api/pith-number/EZ62LPMJ47ELYVMDUQDGWWL6WV/events.json","paper":"https://pith.science/paper/EZ62LPMJ"},"agent_actions":{"view_html":"https://pith.science/pith/EZ62LPMJ47ELYVMDUQDGWWL6WV","download_json":"https://pith.science/pith/EZ62LPMJ47ELYVMDUQDGWWL6WV.json","view_paper":"https://pith.science/paper/EZ62LPMJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1601.02557&json=true","fetch_graph":"https://pith.science/api/pith-number/EZ62LPMJ47ELYVMDUQDGWWL6WV/graph.json","fetch_events":"https://pith.science/api/pith-number/EZ62LPMJ47ELYVMDUQDGWWL6WV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EZ62LPMJ47ELYVMDUQDGWWL6WV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EZ62LPMJ47ELYVMDUQDGWWL6WV/action/storage_attestation","attest_author":"https://pith.science/pith/EZ62LPMJ47ELYVMDUQDGWWL6WV/action/author_attestation","sign_citation":"https://pith.science/pith/EZ62LPMJ47ELYVMDUQDGWWL6WV/action/citation_signature","submit_replication":"https://pith.science/pith/EZ62LPMJ47ELYVMDUQDGWWL6WV/action/replication_record"}},"created_at":"2026-05-18T00:36:51.729128+00:00","updated_at":"2026-05-18T00:36:51.729128+00:00"}