{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:UAQQLRYLEOTWZAW5EWOA3OPDAY","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":"cfc14f7e7b1994744d522e52e0db9532a3628e89862a40f76eee57712ac50e6e","cross_cats_sorted":["cs.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2022-03-17T04:34:28Z","title_canon_sha256":"fd8df23e9c5dde4a761dc4641d1b1f36142c79aa023595681dfff9a29f0bc9c4"},"schema_version":"1.0","source":{"id":"2203.09081","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2203.09081","created_at":"2026-07-05T05:05:45Z"},{"alias_kind":"arxiv_version","alias_value":"2203.09081v3","created_at":"2026-07-05T05:05:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2203.09081","created_at":"2026-07-05T05:05:45Z"},{"alias_kind":"pith_short_12","alias_value":"UAQQLRYLEOTW","created_at":"2026-07-05T05:05:45Z"},{"alias_kind":"pith_short_16","alias_value":"UAQQLRYLEOTWZAW5","created_at":"2026-07-05T05:05:45Z"},{"alias_kind":"pith_short_8","alias_value":"UAQQLRYL","created_at":"2026-07-05T05:05:45Z"}],"graph_snapshots":[{"event_id":"sha256:73a3d6bfea5180db568c47e3762a6d0296806ece6e5fc12dbac89301cc31873a","target":"graph","created_at":"2026-07-05T05:05:45Z","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/2203.09081/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Modern deep neural networks for classification usually jointly learn a backbone for representation and a linear classifier to output the logit of each class. A recent study has shown a phenomenon called neural collapse that the within-class means of features and the classifier vectors converge to the vertices of a simplex equiangular tight frame (ETF) at the terminal phase of training on a balanced dataset. Since the ETF geometric structure maximally separates the pair-wise angles of all classes in the classifier, it is natural to raise the question, why do we spend an effort to learn a classi","authors_text":"Dacheng Tao, Liang Xie, Shixiang Chen, Xiangtai Li, Yibo Yang, Zhouchen Lin","cross_cats":["cs.CV"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2022-03-17T04:34:28Z","title":"Inducing Neural Collapse in Imbalanced Learning: Do We Really Need a Learnable Classifier at the End of Deep Neural Network?"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2203.09081","kind":"arxiv","version":3},"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:d7ce1f9e7af57bd42f29b67352ec08669c5456deec4584ff56255e0493df676e","target":"record","created_at":"2026-07-05T05:05:45Z","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":"cfc14f7e7b1994744d522e52e0db9532a3628e89862a40f76eee57712ac50e6e","cross_cats_sorted":["cs.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2022-03-17T04:34:28Z","title_canon_sha256":"fd8df23e9c5dde4a761dc4641d1b1f36142c79aa023595681dfff9a29f0bc9c4"},"schema_version":"1.0","source":{"id":"2203.09081","kind":"arxiv","version":3}},"canonical_sha256":"a02105c70b23a76c82dd259c0db9e306141eb4cc3f4ca6ddfaaae385d3811869","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a02105c70b23a76c82dd259c0db9e306141eb4cc3f4ca6ddfaaae385d3811869","first_computed_at":"2026-07-05T05:05:45.964745Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:05:45.964745Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wR7FTu+7UhmvwI+xOwN87Q1yUL0AKM6S/m7x0aejftfgqaQIjctRbWFOihxBzxsnUI5T1TvEeMOJCRVZcEr9Cg==","signature_status":"signed_v1","signed_at":"2026-07-05T05:05:45.965080Z","signed_message":"canonical_sha256_bytes"},"source_id":"2203.09081","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d7ce1f9e7af57bd42f29b67352ec08669c5456deec4584ff56255e0493df676e","sha256:73a3d6bfea5180db568c47e3762a6d0296806ece6e5fc12dbac89301cc31873a"],"state_sha256":"f43ab3d02504f69a21f92ebe6a4f6306ead38e79a14d9e686f9e3ac3e2807540"}