{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:EG5RSOY3BQPKSR55X3W5YGR5LO","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":"e9958daf65ef7289f628cee6a523fe2f3922e2231365a1c9c693777d395ac67a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2017-10-23T09:33:02Z","title_canon_sha256":"f8a6596a7c2852bf884c9cda5d7dd428e4ddd05255870e4ce636b25ec76ed8f3"},"schema_version":"1.0","source":{"id":"1710.08165","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.08165","created_at":"2026-05-17T23:51:59Z"},{"alias_kind":"arxiv_version","alias_value":"1710.08165v3","created_at":"2026-05-17T23:51:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.08165","created_at":"2026-05-17T23:51:59Z"},{"alias_kind":"pith_short_12","alias_value":"EG5RSOY3BQPK","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_16","alias_value":"EG5RSOY3BQPKSR55","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_8","alias_value":"EG5RSOY3","created_at":"2026-05-18T12:31:12Z"}],"graph_snapshots":[{"event_id":"sha256:42e3846c4e95c6d386f6b5c70d153d8b8100923db28bb255f8a46cce3a2272c7","target":"graph","created_at":"2026-05-17T23:51:59Z","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 propose and analyze two new MCMC sampling algorithms, the Vaidya walk and the John walk, for generating samples from the uniform distribution over a polytope. Both random walks are sampling algorithms derived from interior point methods. The former is based on volumetric-logarithmic barrier introduced by Vaidya whereas the latter uses John's ellipsoids. We show that the Vaidya walk mixes in significantly fewer steps than the logarithmic-barrier based Dikin walk studied in past work. For a polytope in $\\mathbb{R}^d$ defined by $n >d$ linear constraints, we show that the mixing time from a wa","authors_text":"Bin Yu, Martin J. Wainwright, Raaz Dwivedi, Yuansi Chen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2017-10-23T09:33:02Z","title":"Fast MCMC sampling algorithms on polytopes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.08165","kind":"arxiv","version":3},"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:ef4d5368f19da7ee91433f4bf1c7f61d982f08f756e197e704fd4d7e1dbe938c","target":"record","created_at":"2026-05-17T23:51:59Z","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":"e9958daf65ef7289f628cee6a523fe2f3922e2231365a1c9c693777d395ac67a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2017-10-23T09:33:02Z","title_canon_sha256":"f8a6596a7c2852bf884c9cda5d7dd428e4ddd05255870e4ce636b25ec76ed8f3"},"schema_version":"1.0","source":{"id":"1710.08165","kind":"arxiv","version":3}},"canonical_sha256":"21bb193b1b0c1ea947bdbeeddc1a3d5b8aa90835a5a810f07f458c3ece20fb62","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"21bb193b1b0c1ea947bdbeeddc1a3d5b8aa90835a5a810f07f458c3ece20fb62","first_computed_at":"2026-05-17T23:51:59.170798Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:51:59.170798Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xdBxuA0j4vzrXrSHu2IAcmes5iqDCnBULQXopldwMnvy5uri+DppwWC/HPc8XIflQXAL97m04y6A6mNiXFaPAw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:51:59.171162Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.08165","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ef4d5368f19da7ee91433f4bf1c7f61d982f08f756e197e704fd4d7e1dbe938c","sha256:42e3846c4e95c6d386f6b5c70d153d8b8100923db28bb255f8a46cce3a2272c7"],"state_sha256":"7009421e1969e8ec99ada5c6754b9320174ca844ea5e3a5163606ff0ccfa439c"}