{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:DISBYY2FR7D6BHWOA6ZJF624OX","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":"a5f94009b854637dd06b13a2335a56714362ff846eda1c29bca70eba839fd1e6","cross_cats_sorted":["cs.LG","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2018-06-19T10:08:37Z","title_canon_sha256":"7f5df5842d50547f370144b8b70b492e276a53c2eed257cea88eb5d3c3b15994"},"schema_version":"1.0","source":{"id":"1806.07137","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.07137","created_at":"2026-05-18T00:02:17Z"},{"alias_kind":"arxiv_version","alias_value":"1806.07137v2","created_at":"2026-05-18T00:02:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.07137","created_at":"2026-05-18T00:02:17Z"},{"alias_kind":"pith_short_12","alias_value":"DISBYY2FR7D6","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_16","alias_value":"DISBYY2FR7D6BHWO","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_8","alias_value":"DISBYY2F","created_at":"2026-05-18T12:32:19Z"}],"graph_snapshots":[{"event_id":"sha256:00b690f41786451933926b31e1230a68e9d41da9cb46d37c805f763a3d4de3b4","target":"graph","created_at":"2026-05-18T00:02:17Z","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":"Stochastic gradient Markov chain Monte Carlo (SGMCMC) has become a popular method for scalable Bayesian inference. These methods are based on sampling a discrete-time approximation to a continuous time process, such as the Langevin diffusion. When applied to distributions defined on a constrained space the time-discretization error can dominate when we are near the boundary of the space. We demonstrate that because of this, current SGMCMC methods for the simplex struggle with sparse simplex spaces; when many of the components are close to zero. Unfortunately, many popular large-scale Bayesian ","authors_text":"Christopher Nemeth, Emily B Fox, Jack Baker, Paul Fearnhead","cross_cats":["cs.LG","stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2018-06-19T10:08:37Z","title":"Large-Scale Stochastic Sampling from the Probability Simplex"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.07137","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":"sha256:1658b4510da40f247fb9b38c1fdfd6b3c825f315927ada8d34cb5d3f689e9584","target":"record","created_at":"2026-05-18T00:02:17Z","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":"a5f94009b854637dd06b13a2335a56714362ff846eda1c29bca70eba839fd1e6","cross_cats_sorted":["cs.LG","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2018-06-19T10:08:37Z","title_canon_sha256":"7f5df5842d50547f370144b8b70b492e276a53c2eed257cea88eb5d3c3b15994"},"schema_version":"1.0","source":{"id":"1806.07137","kind":"arxiv","version":2}},"canonical_sha256":"1a241c63458fc7e09ece07b292fb5c75dd175bd42a12838485f65b38e1db7fb6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1a241c63458fc7e09ece07b292fb5c75dd175bd42a12838485f65b38e1db7fb6","first_computed_at":"2026-05-18T00:02:17.780166Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:02:17.780166Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5YLDO3oNIaH4QdxCXHnSYhzSMHAFhYadAmLbNnp0fZpY5IhfYLMiXXkKY5wrgepTTh8dAg8PLeC+JnTfM8vKAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:02:17.780597Z","signed_message":"canonical_sha256_bytes"},"source_id":"1806.07137","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1658b4510da40f247fb9b38c1fdfd6b3c825f315927ada8d34cb5d3f689e9584","sha256:00b690f41786451933926b31e1230a68e9d41da9cb46d37c805f763a3d4de3b4"],"state_sha256":"4e5e4ec4d9c14808f976abab20874c03d2daef27d2bbd15901a468181cd42995"}