{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:3KISCN4I4RHBGISUPNX2GZALYB","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":"21e40a62190106999eebf5d3a6eb12e509890cad737a99e90caf4689443c5eb8","cross_cats_sorted":["stat.ML"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-06-04T00:45:37Z","title_canon_sha256":"ee776d36a4aab1c540cb13f9d471fb4c3a33a392789cdaba2ffe68249e1fabc4"},"schema_version":"1.0","source":{"id":"2406.01870","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2406.01870","created_at":"2026-07-05T08:26:49Z"},{"alias_kind":"arxiv_version","alias_value":"2406.01870v1","created_at":"2026-07-05T08:26:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.01870","created_at":"2026-07-05T08:26:49Z"},{"alias_kind":"pith_short_12","alias_value":"3KISCN4I4RHB","created_at":"2026-07-05T08:26:49Z"},{"alias_kind":"pith_short_16","alias_value":"3KISCN4I4RHBGISU","created_at":"2026-07-05T08:26:49Z"},{"alias_kind":"pith_short_8","alias_value":"3KISCN4I","created_at":"2026-07-05T08:26:49Z"}],"graph_snapshots":[{"event_id":"sha256:59e133ea671c41c8e8cff8bb5a0401a6f35e9027925fc8bdd4ec1370ec2db54a","target":"graph","created_at":"2026-07-05T08:26:49Z","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/2406.01870/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Stochastic natural gradient variational inference (NGVI) is a popular posterior inference method with applications in various probabilistic models. Despite its wide usage, little is known about the non-asymptotic convergence rate in the \\emph{stochastic} setting. We aim to lessen this gap and provide a better understanding. For conjugate likelihoods, we prove the first $\\mathcal{O}(\\frac{1}{T})$ non-asymptotic convergence rate of stochastic NGVI. The complexity is no worse than stochastic gradient descent (\\aka black-box variational inference) and the rate likely has better constant dependency","authors_text":"Jacob R. Gardner, Kaiwen Wu","cross_cats":["stat.ML"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-06-04T00:45:37Z","title":"Understanding Stochastic Natural Gradient Variational Inference"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.01870","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:c3d066ea10a7e78eebc00a0a724585e5b8d97c81baca465d0328f4cec61a7be5","target":"record","created_at":"2026-07-05T08:26:49Z","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":"21e40a62190106999eebf5d3a6eb12e509890cad737a99e90caf4689443c5eb8","cross_cats_sorted":["stat.ML"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-06-04T00:45:37Z","title_canon_sha256":"ee776d36a4aab1c540cb13f9d471fb4c3a33a392789cdaba2ffe68249e1fabc4"},"schema_version":"1.0","source":{"id":"2406.01870","kind":"arxiv","version":1}},"canonical_sha256":"da91213788e44e1322547b6fa3640bc04d4d03bd74771d26610de6ff8a035981","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"da91213788e44e1322547b6fa3640bc04d4d03bd74771d26610de6ff8a035981","first_computed_at":"2026-07-05T08:26:49.743918Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:26:49.743918Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CGAUnchxyqxZQFspQM+ysl2R/x8VOc4BgNXq0eMJpa9tTNp8yM3rcYH8EbSoWs1GNDNP/fuy5iQA3QK/iBEsBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T08:26:49.744371Z","signed_message":"canonical_sha256_bytes"},"source_id":"2406.01870","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c3d066ea10a7e78eebc00a0a724585e5b8d97c81baca465d0328f4cec61a7be5","sha256:59e133ea671c41c8e8cff8bb5a0401a6f35e9027925fc8bdd4ec1370ec2db54a"],"state_sha256":"88e7b1f108dd5360f545dd2aaaffbb72a5b106249f7578581b57f52e586c88d4"}