{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:NB2IWSA4SSGDVHH3Q37KUHAF4H","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":"e6723f0cdce8000b2f53f7256f60be3addcd69b8e909e04caddde1bad74a1b70","cross_cats_sorted":["cs.LG"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ML","submitted_at":"2021-12-09T18:54:29Z","title_canon_sha256":"588691f471436796275edad488c996f71648ebbac70c6bb80d82dbcea6253cd7"},"schema_version":"1.0","source":{"id":"2112.05120","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2112.05120","created_at":"2026-07-05T06:57:18Z"},{"alias_kind":"arxiv_version","alias_value":"2112.05120v4","created_at":"2026-07-05T06:57:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2112.05120","created_at":"2026-07-05T06:57:18Z"},{"alias_kind":"pith_short_12","alias_value":"NB2IWSA4SSGD","created_at":"2026-07-05T06:57:18Z"},{"alias_kind":"pith_short_16","alias_value":"NB2IWSA4SSGDVHH3","created_at":"2026-07-05T06:57:18Z"},{"alias_kind":"pith_short_8","alias_value":"NB2IWSA4","created_at":"2026-07-05T06:57:18Z"}],"graph_snapshots":[{"event_id":"sha256:e7c0e46127bc9eb0e9f5249cc0687a9bc864b37fab55a788dd5c19834183bef4","target":"graph","created_at":"2026-07-05T06:57:18Z","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/2112.05120/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We propose a federated averaging Langevin algorithm (FA-LD) for uncertainty quantification and mean predictions with distributed clients. In particular, we generalize beyond normal posterior distributions and consider a general class of models. We develop theoretical guarantees for FA-LD for strongly log-concave distributions with non-i.i.d data and study how the injected noise and the stochastic-gradient noise, the heterogeneity of data, and the varying learning rates affect the convergence. Such an analysis sheds light on the optimal choice of local updates to minimize communication costs. I","authors_text":"Guang Lin, Qian Zhang, Wei Deng, Yi-An Ma, Zhao Song","cross_cats":["cs.LG"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ML","submitted_at":"2021-12-09T18:54:29Z","title":"On Convergence of Federated Averaging Langevin Dynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2112.05120","kind":"arxiv","version":4},"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:d47f1f397cd64cc6b3ea66542ef75569ad66b47bc1b2a4bd19966b2af53b9f62","target":"record","created_at":"2026-07-05T06:57:18Z","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":"e6723f0cdce8000b2f53f7256f60be3addcd69b8e909e04caddde1bad74a1b70","cross_cats_sorted":["cs.LG"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ML","submitted_at":"2021-12-09T18:54:29Z","title_canon_sha256":"588691f471436796275edad488c996f71648ebbac70c6bb80d82dbcea6253cd7"},"schema_version":"1.0","source":{"id":"2112.05120","kind":"arxiv","version":4}},"canonical_sha256":"68748b481c948c3a9cfb86feaa1c05e1d739b14e2e3d2fdf668c8ea3cb53c740","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"68748b481c948c3a9cfb86feaa1c05e1d739b14e2e3d2fdf668c8ea3cb53c740","first_computed_at":"2026-07-05T06:57:18.602129Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:57:18.602129Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5//+nnVq+ZRKkB6cB+8g5F0pXqitzwE8vdZFgSXeO9lu2vM+i98kCld8ExbJUOjlQDny+DYEokffMspbQstWCg==","signature_status":"signed_v1","signed_at":"2026-07-05T06:57:18.602622Z","signed_message":"canonical_sha256_bytes"},"source_id":"2112.05120","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d47f1f397cd64cc6b3ea66542ef75569ad66b47bc1b2a4bd19966b2af53b9f62","sha256:e7c0e46127bc9eb0e9f5249cc0687a9bc864b37fab55a788dd5c19834183bef4"],"state_sha256":"9684ac0d679eb37615945cbb21861ad07649e26a5bb992cf8e43ef55729caeeb"}