{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:HYHCJFCX7QGVCN3CFDOMODYXEY","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":"e2486caf2d257fc1b4b38b8e787cc55afaa119cc019270d6d467fdd82bf6ea4d","cross_cats_sorted":["cs.AI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2011-08-15T13:26:26Z","title_canon_sha256":"679a91b898eed2b9804fa711ef2c279e20e39a60c8e4efabcb250e7e995b034e"},"schema_version":"1.0","source":{"id":"1108.2989","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.2989","created_at":"2026-05-18T04:15:28Z"},{"alias_kind":"arxiv_version","alias_value":"1108.2989v1","created_at":"2026-05-18T04:15:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.2989","created_at":"2026-05-18T04:15:28Z"},{"alias_kind":"pith_short_12","alias_value":"HYHCJFCX7QGV","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_16","alias_value":"HYHCJFCX7QGVCN3C","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_8","alias_value":"HYHCJFCX","created_at":"2026-05-18T12:26:30Z"}],"graph_snapshots":[{"event_id":"sha256:a0a077b1202a0cd9c60db7c245560858b33479caee402713608fd272c54c13a5","target":"graph","created_at":"2026-05-18T04:15:28Z","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":"Boosting combines weak classifiers to form highly accurate predictors. Although the case of binary classification is well understood, in the multiclass setting, the \"correct\" requirements on the weak classifier, or the notion of the most efficient boosting algorithms are missing. In this paper, we create a broad and general framework, within which we make precise and identify the optimal requirements on the weak-classifier, as well as design the most effective, in a certain sense, boosting algorithms that assume such requirements.","authors_text":"Indraneel Mukherjee, Robert E. Schapire","cross_cats":["cs.AI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2011-08-15T13:26:26Z","title":"A theory of multiclass boosting"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.2989","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":"sha256:79b28622b811229cb10e9b353122f99f7425ba039fa748211130785923d41651","target":"record","created_at":"2026-05-18T04:15:28Z","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":"e2486caf2d257fc1b4b38b8e787cc55afaa119cc019270d6d467fdd82bf6ea4d","cross_cats_sorted":["cs.AI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2011-08-15T13:26:26Z","title_canon_sha256":"679a91b898eed2b9804fa711ef2c279e20e39a60c8e4efabcb250e7e995b034e"},"schema_version":"1.0","source":{"id":"1108.2989","kind":"arxiv","version":1}},"canonical_sha256":"3e0e249457fc0d51376228dcc70f172629d6893642ae364cea5b9714a7b171ed","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3e0e249457fc0d51376228dcc70f172629d6893642ae364cea5b9714a7b171ed","first_computed_at":"2026-05-18T04:15:28.881433Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:15:28.881433Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cwAp24E0tE01WtWCbLC3ZvNEYY+gplTYPAeBSbT6VgZtlg6C4+fUAAueyv0TUB4NP+cDWGbzsTrJE8uauX4mCg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:15:28.882024Z","signed_message":"canonical_sha256_bytes"},"source_id":"1108.2989","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:79b28622b811229cb10e9b353122f99f7425ba039fa748211130785923d41651","sha256:a0a077b1202a0cd9c60db7c245560858b33479caee402713608fd272c54c13a5"],"state_sha256":"61816ba2eb21e644468ac04f568d3c8091046de7dfdaa35400b784e0fab5d85a"}