{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:RIHYCJFTXLESUAV2W5M42JR55W","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":"115344f8f7090df6382fea0d2c2b7e0b08a35c49c513cf2de18b2e84652527d2","cross_cats_sorted":["cs.DS","cs.LG","stat.ML","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2019-02-06T01:33:05Z","title_canon_sha256":"4fb3f90616ed3e5468171a64caa28aa8cf171be39e0e6925f485d562a609ec7a"},"schema_version":"1.0","source":{"id":"1902.01998","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.01998","created_at":"2026-05-17T23:54:38Z"},{"alias_kind":"arxiv_version","alias_value":"1902.01998v1","created_at":"2026-05-17T23:54:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.01998","created_at":"2026-05-17T23:54:38Z"},{"alias_kind":"pith_short_12","alias_value":"RIHYCJFTXLES","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_16","alias_value":"RIHYCJFTXLESUAV2","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_8","alias_value":"RIHYCJFT","created_at":"2026-05-18T12:33:27Z"}],"graph_snapshots":[{"event_id":"sha256:6946cd2b8cff9312245a6a9751efc022321bfeabc268eba27521737a622084ac","target":"graph","created_at":"2026-05-17T23:54:38Z","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":"We propose an estimator for the mean of a random vector in $\\mathbb{R}^d$ that can be computed in time $O(n^4+n^2d)$ for $n$ i.i.d.~samples and that has error bounds matching the sub-Gaussian case. The only assumptions we make about the data distribution are that it has finite mean and covariance; in particular, we make no assumptions about higher-order moments. Like the polynomial time estimator introduced by Hopkins, 2018, which is based on the sum-of-squares hierarchy, our estimator achieves optimal statistical efficiency in this challenging setting, but it has a significantly faster runtim","authors_text":"Nicolas Flammarion, Peter L. Bartlett, Yeshwanth Cherapanamjeri","cross_cats":["cs.DS","cs.LG","stat.ML","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2019-02-06T01:33:05Z","title":"Fast Mean Estimation with Sub-Gaussian Rates"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.01998","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":"sha256:305568f05fa55a253ba50f2094bc6e9b9179fe4a9fd8eb27b3f6f1812a02598a","target":"record","created_at":"2026-05-17T23:54:38Z","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":"115344f8f7090df6382fea0d2c2b7e0b08a35c49c513cf2de18b2e84652527d2","cross_cats_sorted":["cs.DS","cs.LG","stat.ML","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2019-02-06T01:33:05Z","title_canon_sha256":"4fb3f90616ed3e5468171a64caa28aa8cf171be39e0e6925f485d562a609ec7a"},"schema_version":"1.0","source":{"id":"1902.01998","kind":"arxiv","version":1}},"canonical_sha256":"8a0f8124b3bac92a02bab759cd263ded864952de9fedc07be4c17d6784a6512e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8a0f8124b3bac92a02bab759cd263ded864952de9fedc07be4c17d6784a6512e","first_computed_at":"2026-05-17T23:54:38.129205Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:54:38.129205Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LiM2jZWb3lLMz8/3VmeV/Y1Eb7h18QbiFW+oIY+w//yguVU6RQw1qvf7oeGF275uW6XtGBUJdATV6sWcjB2NDQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:54:38.129734Z","signed_message":"canonical_sha256_bytes"},"source_id":"1902.01998","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:305568f05fa55a253ba50f2094bc6e9b9179fe4a9fd8eb27b3f6f1812a02598a","sha256:6946cd2b8cff9312245a6a9751efc022321bfeabc268eba27521737a622084ac"],"state_sha256":"ba6d4d18d09734a61cf30ad37b1d82ba2a475a60395eb3a31c21acf29b305570"}