{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:VHXIORKCIZSHGCW7CKK5ZMYSTL","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":"5a295fb6a142549c0b355c069355de21022122359dd52817f8001e8be449420d","cross_cats_sorted":["cs.LG","math.ST","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-07-24T23:04:49Z","title_canon_sha256":"8cb5f916936baa052482a1d1e750207cd27289552dffb19c2f4244ae92a3441c"},"schema_version":"1.0","source":{"id":"1807.09382","kind":"arxiv","version":6}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.09382","created_at":"2026-05-17T23:57:31Z"},{"alias_kind":"arxiv_version","alias_value":"1807.09382v6","created_at":"2026-05-17T23:57:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.09382","created_at":"2026-05-17T23:57:31Z"},{"alias_kind":"pith_short_12","alias_value":"VHXIORKCIZSH","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_16","alias_value":"VHXIORKCIZSHGCW7","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_8","alias_value":"VHXIORKC","created_at":"2026-05-18T12:32:59Z"}],"graph_snapshots":[{"event_id":"sha256:7ba3de0d3d732353e0a605345876bb17e6c59e4542b1a41bb57c3c5301ef23f2","target":"graph","created_at":"2026-05-17T23:57:31Z","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":"Langevin diffusion processes and their discretizations are often used for sampling from a target density. The most convenient framework for assessing the quality of such a sampling scheme corresponds to smooth and strongly log-concave densities defined on $\\mathbb R^p$. The present work focuses on this framework and studies the behavior of Monte Carlo algorithms based on discretizations of the kinetic Langevin diffusion. We first prove the geometric mixing property of the kinetic Langevin diffusion with a mixing rate that is, in the overdamped regime, optimal in terms of its dependence on the ","authors_text":"Arnak S.Dalalyan, Lionel Riou-Durand","cross_cats":["cs.LG","math.ST","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-07-24T23:04:49Z","title":"On sampling from a log-concave density using kinetic Langevin diffusions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.09382","kind":"arxiv","version":6},"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:ea03c2deda66e0a4cc16d6f1a70e30acdd618a7a9431b4455ab4bd3ee523f20b","target":"record","created_at":"2026-05-17T23:57:31Z","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":"5a295fb6a142549c0b355c069355de21022122359dd52817f8001e8be449420d","cross_cats_sorted":["cs.LG","math.ST","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-07-24T23:04:49Z","title_canon_sha256":"8cb5f916936baa052482a1d1e750207cd27289552dffb19c2f4244ae92a3441c"},"schema_version":"1.0","source":{"id":"1807.09382","kind":"arxiv","version":6}},"canonical_sha256":"a9ee8745424664730adf1295dcb3129acc7c1466b919df93f48458aeb21e16f5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a9ee8745424664730adf1295dcb3129acc7c1466b919df93f48458aeb21e16f5","first_computed_at":"2026-05-17T23:57:31.613870Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:57:31.613870Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YWRMBifqRqBeedwuRF51UQD4rcsCCVQimVM0U6nfp6iLiDZWwBsbt5lvxeNHQaJxfmTPgUHDKJqi7qeg7BauDQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:57:31.614333Z","signed_message":"canonical_sha256_bytes"},"source_id":"1807.09382","source_kind":"arxiv","source_version":6}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ea03c2deda66e0a4cc16d6f1a70e30acdd618a7a9431b4455ab4bd3ee523f20b","sha256:7ba3de0d3d732353e0a605345876bb17e6c59e4542b1a41bb57c3c5301ef23f2"],"state_sha256":"e128a7575cdd720686aea4edaeddfe0b807e6c4df5283b736e54dd8565bc65e2"}