{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:LUKMCH4IC2QWAEEE6Y4UBIK6ZX","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":"30d8fa4159b5b1fb14e617fb5f00e26547e9c47694177d220322a2d76e854c53","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2018-04-16T23:33:09Z","title_canon_sha256":"db29286a013f6d0f70c2277999048dc92a2ca810258d96d8f3281ce976c7d76a"},"schema_version":"1.0","source":{"id":"1804.05981","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.05981","created_at":"2026-05-18T00:14:59Z"},{"alias_kind":"arxiv_version","alias_value":"1804.05981v2","created_at":"2026-05-18T00:14:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.05981","created_at":"2026-05-18T00:14:59Z"},{"alias_kind":"pith_short_12","alias_value":"LUKMCH4IC2QW","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_16","alias_value":"LUKMCH4IC2QWAEEE","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_8","alias_value":"LUKMCH4I","created_at":"2026-05-18T12:32:37Z"}],"graph_snapshots":[{"event_id":"sha256:9a0e5c2aabe2ed74f53a71aa8e339c88b42133ed01a9a4bf269ab6cdf8611023","target":"graph","created_at":"2026-05-18T00:14:59Z","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":"Area under ROC (AUC) is an important metric for binary classification and bipartite ranking problems. However, it is difficult to directly optimizing AUC as a learning objective, so most existing algorithms are based on optimizing a surrogate loss to AUC. One significant drawback of these surrogate losses is that they require pairwise comparisons among training data, which leads to slow running time and increasing local storage for online learning. In this work, we describe a new surrogate loss based on a reformulation of the AUC risk, which does not require pairwise comparison but rankings of","authors_text":"Siwei Lyu, Yiming Ying","cross_cats":["stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2018-04-16T23:33:09Z","title":"A Univariate Bound of Area Under ROC"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.05981","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":"sha256:80ab476dc641182435339a6172ece1f21b636b2200266e3c0f0a994de209369a","target":"record","created_at":"2026-05-18T00:14:59Z","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":"30d8fa4159b5b1fb14e617fb5f00e26547e9c47694177d220322a2d76e854c53","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2018-04-16T23:33:09Z","title_canon_sha256":"db29286a013f6d0f70c2277999048dc92a2ca810258d96d8f3281ce976c7d76a"},"schema_version":"1.0","source":{"id":"1804.05981","kind":"arxiv","version":2}},"canonical_sha256":"5d14c11f8816a1601084f63940a15ecdd27f61796fa430ea735758577afb6980","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5d14c11f8816a1601084f63940a15ecdd27f61796fa430ea735758577afb6980","first_computed_at":"2026-05-18T00:14:59.330894Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:14:59.330894Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PTJQI0nODWu9xbldrfBhJi2ajnAzjjfkPOj3VdvKx1k63/RubCcgJuQ4v5XEaexdKo+bCqo8VSfhoNPKr1qtDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:14:59.331451Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.05981","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:80ab476dc641182435339a6172ece1f21b636b2200266e3c0f0a994de209369a","sha256:9a0e5c2aabe2ed74f53a71aa8e339c88b42133ed01a9a4bf269ab6cdf8611023"],"state_sha256":"c20d2f100c34ccfe8358fdecc9f638a13e350448bebad9394b6208c5952e6320"}