{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:TPR6HP2ISRHEMWSMNO5H3HIKXQ","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":"2d3ae2a611e104902c85dad159217151477a1c1e561fe8ee76cb616ce5abc869","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2009-08-17T14:24:32Z","title_canon_sha256":"04f731e235b0dad9a8c95b875ccb8722f38ccdef2eec113d02d9235c778ff984"},"schema_version":"1.0","source":{"id":"0908.2359","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0908.2359","created_at":"2026-05-18T04:28:45Z"},{"alias_kind":"arxiv_version","alias_value":"0908.2359v2","created_at":"2026-05-18T04:28:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0908.2359","created_at":"2026-05-18T04:28:45Z"},{"alias_kind":"pith_short_12","alias_value":"TPR6HP2ISRHE","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_16","alias_value":"TPR6HP2ISRHEMWSM","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_8","alias_value":"TPR6HP2I","created_at":"2026-05-18T12:26:01Z"}],"graph_snapshots":[{"event_id":"sha256:4fc857f968730db2a25e01fe6310aa5e9848952b95d7cde28b7d43b06dc6facc","target":"graph","created_at":"2026-05-18T04:28:45Z","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":"Online (also called \"recursive\" or \"adaptive\") estimation of fixed model parameters in hidden Markov models is a topic of much interest in times series modelling. In this work, we propose an online parameter estimation algorithm that combines two key ideas. The first one, which is deeply rooted in the Expectation-Maximization (EM) methodology consists in reparameterizing the problem using complete-data sufficient statistics. The second ingredient consists in exploiting a purely recursive form of smoothing in HMMs based on an auxiliary recursion. Although the proposed online EM algorithm resemb","authors_text":"Olivier Capp\\'e (LTCI)","cross_cats":["stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2009-08-17T14:24:32Z","title":"Online EM Algorithm for Hidden Markov Models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0908.2359","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":"sha256:5c9985beaa25a75c75f4efba993c48840407542132ec480d83121708025cc7af","target":"record","created_at":"2026-05-18T04:28:45Z","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":"2d3ae2a611e104902c85dad159217151477a1c1e561fe8ee76cb616ce5abc869","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2009-08-17T14:24:32Z","title_canon_sha256":"04f731e235b0dad9a8c95b875ccb8722f38ccdef2eec113d02d9235c778ff984"},"schema_version":"1.0","source":{"id":"0908.2359","kind":"arxiv","version":2}},"canonical_sha256":"9be3e3bf48944e465a4c6bba7d9d0abc23ffe06e802c29d848c7bdc86045c0c5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9be3e3bf48944e465a4c6bba7d9d0abc23ffe06e802c29d848c7bdc86045c0c5","first_computed_at":"2026-05-18T04:28:45.837531Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:28:45.837531Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mqpNQGsU3KflmUUWKtRcSBZNnjfFu6XIXHnmkOPtcUwoSYC/Jsni1LmDfVTTbGcYbydkjfPIMJf2vl/HCZZSDA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:28:45.837932Z","signed_message":"canonical_sha256_bytes"},"source_id":"0908.2359","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5c9985beaa25a75c75f4efba993c48840407542132ec480d83121708025cc7af","sha256:4fc857f968730db2a25e01fe6310aa5e9848952b95d7cde28b7d43b06dc6facc"],"state_sha256":"2014b1f81664beeebd59081f60f8b6fc6857c1eee844a0c47f804c51fc49b079"}