{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:PVNKB24KAAOQY4MCZK7PI5V3KR","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":"1b8de83780d68c3f0d7ebbd52c5fce6db19f3c728ee78c24e983e4a289374145","cross_cats_sorted":["stat.ML","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2024-05-28T11:09:39Z","title_canon_sha256":"4d56032c6909faf3554cd68d8e51d1003335f58bd39071445e1713df5f72f8be"},"schema_version":"1.0","source":{"id":"2405.18055","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2405.18055","created_at":"2026-07-05T09:19:57Z"},{"alias_kind":"arxiv_version","alias_value":"2405.18055v5","created_at":"2026-07-05T09:19:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2405.18055","created_at":"2026-07-05T09:19:57Z"},{"alias_kind":"pith_short_12","alias_value":"PVNKB24KAAOQ","created_at":"2026-07-05T09:19:57Z"},{"alias_kind":"pith_short_16","alias_value":"PVNKB24KAAOQY4MC","created_at":"2026-07-05T09:19:57Z"},{"alias_kind":"pith_short_8","alias_value":"PVNKB24K","created_at":"2026-07-05T09:19:57Z"}],"graph_snapshots":[{"event_id":"sha256:a7889b4002f86ecac8a5b564ab6f696185d881cc6bf204455cb5f39876a4a723","target":"graph","created_at":"2026-07-05T09:19:57Z","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/2405.18055/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We provide a novel dimension-free uniform concentration bound for the empirical risk function of constrained logistic regression. Our bound yields a milder sufficient condition for a uniform law of large numbers than conditions derived by the Rademacher complexity argument and McDiarmid's inequality. The derivation is based on the PAC-Bayes approach with second-order expansion and Rademacher-complexity-based bounds for the residual term of the expansion.","authors_text":"Shogo Nakakita","cross_cats":["stat.ML","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2024-05-28T11:09:39Z","title":"Dimension-free uniform concentration bound for logistic regression"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2405.18055","kind":"arxiv","version":5},"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:c192a32dec28b4b3ce4a10271194317637e0745e7bed1e139a735bc7c1d54ddf","target":"record","created_at":"2026-07-05T09:19:57Z","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":"1b8de83780d68c3f0d7ebbd52c5fce6db19f3c728ee78c24e983e4a289374145","cross_cats_sorted":["stat.ML","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2024-05-28T11:09:39Z","title_canon_sha256":"4d56032c6909faf3554cd68d8e51d1003335f58bd39071445e1713df5f72f8be"},"schema_version":"1.0","source":{"id":"2405.18055","kind":"arxiv","version":5}},"canonical_sha256":"7d5aa0eb8a001d0c7182cabef476bb545212dd1d9743702de399643891456595","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7d5aa0eb8a001d0c7182cabef476bb545212dd1d9743702de399643891456595","first_computed_at":"2026-07-05T09:19:57.862332Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:19:57.862332Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oN4Nbw6/50T+vHZU+xY7CriedqQjTILEUvpB8/H3cfTjJifEqelaO17aGGrmAAo32UX4jbfRtAL9ptem+rO/BQ==","signature_status":"signed_v1","signed_at":"2026-07-05T09:19:57.862798Z","signed_message":"canonical_sha256_bytes"},"source_id":"2405.18055","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c192a32dec28b4b3ce4a10271194317637e0745e7bed1e139a735bc7c1d54ddf","sha256:a7889b4002f86ecac8a5b564ab6f696185d881cc6bf204455cb5f39876a4a723"],"state_sha256":"97e6754b5c460acec27baf435a85e9c4bd8d9c16ae48ec9501c87df97d99b405"}