{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:INXEZYLKAKTIWOOFYIDKVCEP2X","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":"74d0e972e785f43d4ced451d092bbd260cbcd94304b680a0a9920bb33c92bb90","cross_cats_sorted":["cs.LG"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ML","submitted_at":"2022-12-02T15:55:52Z","title_canon_sha256":"f51bc01322cbcf18489dde805ff2f2f480d777dba64747c3a07a748ae13d5159"},"schema_version":"1.0","source":{"id":"2212.01259","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2212.01259","created_at":"2026-07-05T05:21:51Z"},{"alias_kind":"arxiv_version","alias_value":"2212.01259v1","created_at":"2026-07-05T05:21:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2212.01259","created_at":"2026-07-05T05:21:51Z"},{"alias_kind":"pith_short_12","alias_value":"INXEZYLKAKTI","created_at":"2026-07-05T05:21:51Z"},{"alias_kind":"pith_short_16","alias_value":"INXEZYLKAKTIWOOF","created_at":"2026-07-05T05:21:51Z"},{"alias_kind":"pith_short_8","alias_value":"INXEZYLK","created_at":"2026-07-05T05:21:51Z"}],"graph_snapshots":[{"event_id":"sha256:df0d18cb50bf940d60241843a6c7f8087aa1a518fff9e6fb5d4ee89d552c04e8","target":"graph","created_at":"2026-07-05T05:21:51Z","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/2212.01259/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Online learning naturally arises in many statistical and machine learning problems. The most widely used methods in online learning are stochastic first-order algorithms. Among this family of algorithms, there is a recently developed algorithm, Recursive One-Over-T SGD (ROOT-SGD). ROOT-SGD is advantageous in that it converges at a non-asymptotically fast rate, and its estimator further converges to a normal distribution. However, this normal distribution has unknown asymptotic covariance; thus cannot be directly applied to measure the uncertainty. To fill this gap, we develop two estimators fo","authors_text":"Xiaoming Huo, Yajun Mei, Yiling Luo","cross_cats":["cs.LG"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ML","submitted_at":"2022-12-02T15:55:52Z","title":"Covariance Estimators for the ROOT-SGD Algorithm in Online Learning"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2212.01259","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:c23eef88e0d49e7847c2821ba064b4171f97e759ef5c11a768f3ea2aec0611d0","target":"record","created_at":"2026-07-05T05:21:51Z","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":"74d0e972e785f43d4ced451d092bbd260cbcd94304b680a0a9920bb33c92bb90","cross_cats_sorted":["cs.LG"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ML","submitted_at":"2022-12-02T15:55:52Z","title_canon_sha256":"f51bc01322cbcf18489dde805ff2f2f480d777dba64747c3a07a748ae13d5159"},"schema_version":"1.0","source":{"id":"2212.01259","kind":"arxiv","version":1}},"canonical_sha256":"436e4ce16a02a68b39c5c206aa888fd5ded9eedb63a24b58ccc8462fc03a2c15","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"436e4ce16a02a68b39c5c206aa888fd5ded9eedb63a24b58ccc8462fc03a2c15","first_computed_at":"2026-07-05T05:21:51.102406Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:21:51.102406Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7lwUagi4eGB6uKPmimdcigXvVBvXMgsmfCJc8ZmAkbk2SAIFptBw2AkjqeDwzK9ICFY8+TXgH5vNAI1fl9JbDA==","signature_status":"signed_v1","signed_at":"2026-07-05T05:21:51.102818Z","signed_message":"canonical_sha256_bytes"},"source_id":"2212.01259","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c23eef88e0d49e7847c2821ba064b4171f97e759ef5c11a768f3ea2aec0611d0","sha256:df0d18cb50bf940d60241843a6c7f8087aa1a518fff9e6fb5d4ee89d552c04e8"],"state_sha256":"f2727a0849409ec00ea4e739922df38549ddae7f177cdfd74fca9b59adfb9d5f"}