{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:A4IVBCN3L6FIPAFSIIF7ION3OT","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":"a850aebef15cc433742e47cf18ebefafb37d5af5c6fc8a95d21bcf296902a5b2","cross_cats_sorted":["cs.CC","cs.LG","stat.CO"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ML","submitted_at":"2023-04-08T20:17:29Z","title_canon_sha256":"2457a7039bad49b71dad9e0dbb850738d8daaa5f67639be3234e5964edf46106"},"schema_version":"1.0","source":{"id":"2304.04095","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2304.04095","created_at":"2026-07-05T06:18:52Z"},{"alias_kind":"arxiv_version","alias_value":"2304.04095v2","created_at":"2026-07-05T06:18:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2304.04095","created_at":"2026-07-05T06:18:52Z"},{"alias_kind":"pith_short_12","alias_value":"A4IVBCN3L6FI","created_at":"2026-07-05T06:18:52Z"},{"alias_kind":"pith_short_16","alias_value":"A4IVBCN3L6FIPAFS","created_at":"2026-07-05T06:18:52Z"},{"alias_kind":"pith_short_8","alias_value":"A4IVBCN3","created_at":"2026-07-05T06:18:52Z"}],"graph_snapshots":[{"event_id":"sha256:d2136b9cb77cefc43d18b4af5f22f4a601fb91b13dbff06fd5f0a0c07d551bc2","target":"graph","created_at":"2026-07-05T06:18:52Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2304.04095/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the mixing time of Metropolis-Adjusted Langevin algorithm (MALA) for sampling a target density on $\\mathbb{R}^d$. We assume that the target density satisfies $\\psi_\\mu$-isoperimetry and that the operator norm and trace of its Hessian are bounded by $L$ and $\\Upsilon$ respectively. Our main result establishes that, from a warm start, to achieve $\\epsilon$-total variation distance to the target density, MALA mixes in $O\\left(\\frac{(L\\Upsilon)^{\\frac12}}{\\psi_\\mu^2} \\log\\left(\\frac{1}{\\epsilon}\\right)\\right)$ iterations. Notably, this result holds beyond the log-concave sampling setting ","authors_text":"Khashayar Gatmiry, Yuansi Chen","cross_cats":["cs.CC","cs.LG","stat.CO"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ML","submitted_at":"2023-04-08T20:17:29Z","title":"A Simple Proof of the Mixing of Metropolis-Adjusted Langevin Algorithm under Smoothness and Isoperimetry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2304.04095","kind":"arxiv","version":2},"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:b117a48fb0e5ae3da1254e40f1a0d8714bdc51e51a563be591eb14099f5757db","target":"record","created_at":"2026-07-05T06:18:52Z","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":"a850aebef15cc433742e47cf18ebefafb37d5af5c6fc8a95d21bcf296902a5b2","cross_cats_sorted":["cs.CC","cs.LG","stat.CO"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ML","submitted_at":"2023-04-08T20:17:29Z","title_canon_sha256":"2457a7039bad49b71dad9e0dbb850738d8daaa5f67639be3234e5964edf46106"},"schema_version":"1.0","source":{"id":"2304.04095","kind":"arxiv","version":2}},"canonical_sha256":"07115089bb5f8a8780b2420bf439bb74c44ca012439c1bd40fd2bee99038d574","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"07115089bb5f8a8780b2420bf439bb74c44ca012439c1bd40fd2bee99038d574","first_computed_at":"2026-07-05T06:18:52.601730Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:18:52.601730Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Gs4xqIZRrhXt+IC+yzjVx442pW6LKweW73UjUOOv7gW6cvvtMcyIXJVIxXeYYB9YUTbgJ3Vk+dgN0Go82jY9CA==","signature_status":"signed_v1","signed_at":"2026-07-05T06:18:52.602156Z","signed_message":"canonical_sha256_bytes"},"source_id":"2304.04095","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b117a48fb0e5ae3da1254e40f1a0d8714bdc51e51a563be591eb14099f5757db","sha256:d2136b9cb77cefc43d18b4af5f22f4a601fb91b13dbff06fd5f0a0c07d551bc2"],"state_sha256":"53a7a285bf898dbc5f4d7023ac2e0efc9f855309d9efc8cbb8d3311554d83418"}