{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:VV45SOKPDHLOMDIQTTVBCFLCCX","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":"0e2858c9bad65727a2762d6607a91473066524b73249643b7a1a448cfb8572f6","cross_cats_sorted":["stat.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-10-22T19:49:43Z","title_canon_sha256":"997f648b0df139ac0bd5aa040861cdb1790e999633f97fb5620177ccbbef050d"},"schema_version":"1.0","source":{"id":"1410.6151","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.6151","created_at":"2026-05-18T02:39:31Z"},{"alias_kind":"arxiv_version","alias_value":"1410.6151v1","created_at":"2026-05-18T02:39:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.6151","created_at":"2026-05-18T02:39:31Z"},{"alias_kind":"pith_short_12","alias_value":"VV45SOKPDHLO","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_16","alias_value":"VV45SOKPDHLOMDIQ","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_8","alias_value":"VV45SOKP","created_at":"2026-05-18T12:28:54Z"}],"graph_snapshots":[{"event_id":"sha256:4817acbe77aacc776093a562aa4e231068f5087bfc854d9829744a835e17a624","target":"graph","created_at":"2026-05-18T02:39:31Z","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":"Implicit samplers are algorithms for producing independent, weighted samples from multi-variate probability distributions. These are often applied in Bayesian data assimilation algorithms. We use Laplace asymptotic expansions to analyze two implicit samplers in the small noise regime. Our analysis suggests a symmetrization of the algo- rithms that leads to improved (implicit) sampling schemes at a rel- atively small additional cost. Computational experiments confirm the theory and show that symmetrization is effective for small noise sampling problems.","authors_text":"Jonathan Goodman, Kevin K. Lin, Matthias Morzfeld","cross_cats":["stat.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-10-22T19:49:43Z","title":"Small-noise analysis and symmetrization of implicit Monte Carlo samplers"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.6151","kind":"arxiv","version":1},"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":"sha256:1a0289c7911a5fbc065c1069c065da5c5ed8efd958d8f80af278ce39d0a55540","target":"record","created_at":"2026-05-18T02:39:31Z","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":"0e2858c9bad65727a2762d6607a91473066524b73249643b7a1a448cfb8572f6","cross_cats_sorted":["stat.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-10-22T19:49:43Z","title_canon_sha256":"997f648b0df139ac0bd5aa040861cdb1790e999633f97fb5620177ccbbef050d"},"schema_version":"1.0","source":{"id":"1410.6151","kind":"arxiv","version":1}},"canonical_sha256":"ad79d9394f19d6e60d109cea11156215fd65a1734bf93ae38e086b27f8cf9013","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ad79d9394f19d6e60d109cea11156215fd65a1734bf93ae38e086b27f8cf9013","first_computed_at":"2026-05-18T02:39:31.474137Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:39:31.474137Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JlWQmfWHOIutPZRbFtiPLCzQuK+LmnAStItKSPCioQ8YXAfUhk6+SFnLtUsBMK9zBDBKVMGTx7oEMX0KYG42CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:39:31.474619Z","signed_message":"canonical_sha256_bytes"},"source_id":"1410.6151","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1a0289c7911a5fbc065c1069c065da5c5ed8efd958d8f80af278ce39d0a55540","sha256:4817acbe77aacc776093a562aa4e231068f5087bfc854d9829744a835e17a624"],"state_sha256":"3ce7d47831c8efbe8645b6ad854d3211ffa83680fb10ef5c9ab1904ca3b9dfe3"}