{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:A7CQPJ4BVEMD4XK2ZJFBR7DEVC","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":"70ca59b6fd62af202bfed06c60d31d5b049ae139f6d90b53f4a32576d231a411","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2016-06-07T10:00:30Z","title_canon_sha256":"7bda85dd331fd1f83ee05d74ff20be24ccb0df117a5c2e67f989fa55363f4d0d"},"schema_version":"1.0","source":{"id":"1606.02077","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.02077","created_at":"2026-05-18T01:12:44Z"},{"alias_kind":"arxiv_version","alias_value":"1606.02077v1","created_at":"2026-05-18T01:12:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.02077","created_at":"2026-05-18T01:12:44Z"},{"alias_kind":"pith_short_12","alias_value":"A7CQPJ4BVEMD","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_16","alias_value":"A7CQPJ4BVEMD4XK2","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_8","alias_value":"A7CQPJ4B","created_at":"2026-05-18T12:30:04Z"}],"graph_snapshots":[{"event_id":"sha256:f3c7c00118f68c3104e166b9ac872655847c1f51e503f47f08f124469f6268ec","target":"graph","created_at":"2026-05-18T01:12:44Z","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 consider the problem of recommending relevant labels (items) for a given data point (user). In particular, we are interested in the practically important setting where the evaluation is with respect to non-decomposable (over labels) performance metrics like the $F_1$ measure, and the training data has missing labels. To this end, we propose a generic framework that given a performance metric $\\Psi$, can devise a regularized objective function and a threshold such that all the values in the predicted score vector above and only above the threshold are selected to be positive. We show that th","authors_text":"Nagarajan Natarajan, Prateek Jain","cross_cats":["stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2016-06-07T10:00:30Z","title":"Regret Bounds for Non-decomposable Metrics with Missing Labels"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.02077","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":"sha256:44416a881a397921a2e72163510f1490c3a9911d64b44dda3ee568197d36e432","target":"record","created_at":"2026-05-18T01:12:44Z","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":"70ca59b6fd62af202bfed06c60d31d5b049ae139f6d90b53f4a32576d231a411","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2016-06-07T10:00:30Z","title_canon_sha256":"7bda85dd331fd1f83ee05d74ff20be24ccb0df117a5c2e67f989fa55363f4d0d"},"schema_version":"1.0","source":{"id":"1606.02077","kind":"arxiv","version":1}},"canonical_sha256":"07c507a781a9183e5d5aca4a18fc64a8881bd849ad8179ec046bef67ec933d9d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"07c507a781a9183e5d5aca4a18fc64a8881bd849ad8179ec046bef67ec933d9d","first_computed_at":"2026-05-18T01:12:44.657205Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:12:44.657205Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"O48w8FvvmuO2wlUJWSX5na4n6qKHjkqhIujQq6poz1/tlDQ4K4JZVRajfkxIDkF0v6Q4Ad36xcqnRIPtycB4AQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:12:44.657578Z","signed_message":"canonical_sha256_bytes"},"source_id":"1606.02077","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:44416a881a397921a2e72163510f1490c3a9911d64b44dda3ee568197d36e432","sha256:f3c7c00118f68c3104e166b9ac872655847c1f51e503f47f08f124469f6268ec"],"state_sha256":"7875b7bf64c9ac455dfc1e0d2f0a1b010dd98cb190ae691afe925272b9a2cac9"}