{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:2DES37D2Y74HEMT4HBKYFVHMP7","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":"726f4654cbd4615600a5a195289ee65d773607352e1fc1f5bbedadeabb24693c","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2015-05-26T17:57:32Z","title_canon_sha256":"ddd97bd796a28ea59b1ccc523d79cb931058fc01a81b3a429dda903b78223ca0"},"schema_version":"1.0","source":{"id":"1505.07067","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.07067","created_at":"2026-05-18T02:03:27Z"},{"alias_kind":"arxiv_version","alias_value":"1505.07067v1","created_at":"2026-05-18T02:03:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.07067","created_at":"2026-05-18T02:03:27Z"},{"alias_kind":"pith_short_12","alias_value":"2DES37D2Y74H","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_16","alias_value":"2DES37D2Y74HEMT4","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_8","alias_value":"2DES37D2","created_at":"2026-05-18T12:28:59Z"}],"graph_snapshots":[{"event_id":"sha256:7a50966a9d57255458933de93f16d8c0072b55b08111e42337c6a6c88740218e","target":"graph","created_at":"2026-05-18T02:03:27Z","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":"This paper introduces a new probabilistic model for online learning which dynamically incorporates information from stochastic gradients of an arbitrary loss function. Similar to probabilistic filtering, the model maintains a Gaussian belief over the optimal weight parameters. Unlike traditional Bayesian updates, the model incorporates a small number of gradient evaluations at locations chosen using Thompson sampling, making it computationally tractable. The belief is then transformed via a linear flow field which optimally updates the belief distribution using rules derived from information t","authors_text":"Daniel D. Lee, Koby Crammer, Pedro A. Ortega","cross_cats":["cs.LG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2015-05-26T17:57:32Z","title":"Belief Flows of Robust Online Learning"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.07067","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":"sha256:51f7d9123b1ea1e00ba15e0ce9036d6166e77d604120d9bee89aef8049479958","target":"record","created_at":"2026-05-18T02:03:27Z","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":"726f4654cbd4615600a5a195289ee65d773607352e1fc1f5bbedadeabb24693c","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2015-05-26T17:57:32Z","title_canon_sha256":"ddd97bd796a28ea59b1ccc523d79cb931058fc01a81b3a429dda903b78223ca0"},"schema_version":"1.0","source":{"id":"1505.07067","kind":"arxiv","version":1}},"canonical_sha256":"d0c92dfc7ac7f872327c385582d4ec7fc230d6bf198d9aef5da406b3dd828e43","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d0c92dfc7ac7f872327c385582d4ec7fc230d6bf198d9aef5da406b3dd828e43","first_computed_at":"2026-05-18T02:03:27.244826Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:03:27.244826Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ro7/B90j7MOCezUZtdjuM2RxbLYEwJnm6fwLSd1wXmPiLCEwoxJXK0hFW8yt2LoC9GNfx95AYCYDXA+xY5+DBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:03:27.245217Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.07067","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:51f7d9123b1ea1e00ba15e0ce9036d6166e77d604120d9bee89aef8049479958","sha256:7a50966a9d57255458933de93f16d8c0072b55b08111e42337c6a6c88740218e"],"state_sha256":"af29cf57b2948e7c59521b745a5f95c8f45af90314591148291cbaeaf63b6e83"}