{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:MQEW3ULOQR3ANXI24GNPUL255D","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":"4589e5b7f6c1283faa71b636f110cc7a072bbabd3a7bfa18bbf3a372f82e1e19","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-07-04T09:06:47Z","title_canon_sha256":"ba787835977c95629a5347ddff4931f679961df2c7b612eeae2c532b8daf4686"},"schema_version":"1.0","source":{"id":"1607.00781","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.00781","created_at":"2026-05-18T01:11:34Z"},{"alias_kind":"arxiv_version","alias_value":"1607.00781v1","created_at":"2026-05-18T01:11:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.00781","created_at":"2026-05-18T01:11:34Z"},{"alias_kind":"pith_short_12","alias_value":"MQEW3ULOQR3A","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_16","alias_value":"MQEW3ULOQR3ANXI2","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_8","alias_value":"MQEW3ULO","created_at":"2026-05-18T12:30:32Z"}],"graph_snapshots":[{"event_id":"sha256:d5e0241d7e339fefa8f1b1ad8743c82ae791ffa82cdff039f2ce8e46f1330c61","target":"graph","created_at":"2026-05-18T01:11:34Z","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 investigate a weighted Multilevel Richardson-Romberg extrapolation for the ergodic approximation of invariant distributions of diffusions adapted from the one  introduced in~[Lemaire-Pag\\`es, 2013] for regular Monte Carlo simulation.  In a first result, we prove under  weak confluence assumptions on the diffusion,  that for any integer $R\\ge2$,  the procedure allows us  to attain a rate $n^{\\frac{R}{2R+1}}$  whereas the original algorithm convergence is at a weak rate $n^{1/3}$. Furthermore, this is achieved without any explosion of the asymptotic variance. In a second part, under stronger ","authors_text":"Fabien Panloup (IMT), Gilles Pag\\`es (LPMA)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-07-04T09:06:47Z","title":"Weighted Multilevel Langevin Simulation of Invariant Measures"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.00781","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":"sha256:649699edb011e932b7119278119334d7de78d1b6fcbea58e3e7fe3120e382bea","target":"record","created_at":"2026-05-18T01:11:34Z","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":"4589e5b7f6c1283faa71b636f110cc7a072bbabd3a7bfa18bbf3a372f82e1e19","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-07-04T09:06:47Z","title_canon_sha256":"ba787835977c95629a5347ddff4931f679961df2c7b612eeae2c532b8daf4686"},"schema_version":"1.0","source":{"id":"1607.00781","kind":"arxiv","version":1}},"canonical_sha256":"64096dd16e847606dd1ae19afa2f5de8e94f132339b07278e9ce6d7b0028cc31","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"64096dd16e847606dd1ae19afa2f5de8e94f132339b07278e9ce6d7b0028cc31","first_computed_at":"2026-05-18T01:11:34.296905Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:11:34.296905Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"V7Ys+IYhC0jkArS7mz2CngHeWS2l+FOZdhxmUX+JSm4nt9/nubCuS5OpTHqfiR+wa4fLwtBh5vsJyYX/DD2lDw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:11:34.297278Z","signed_message":"canonical_sha256_bytes"},"source_id":"1607.00781","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:649699edb011e932b7119278119334d7de78d1b6fcbea58e3e7fe3120e382bea","sha256:d5e0241d7e339fefa8f1b1ad8743c82ae791ffa82cdff039f2ce8e46f1330c61"],"state_sha256":"9b602c7db5d2a30c2559f7f97398eef9ed40b4afd72d3a66e28f850f404f51e1"}