{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:XAOR2CG4FY3GRDG73UR5SB722N","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":"94cf676b6ce0f1a68514ff7847c59e3ff97f1fb59a9e2cc6dfc5de3d0ea315e1","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2020-02-26T07:21:54Z","title_canon_sha256":"e59663841e76a0a62606bc94ef022df9554dc41d07ce7c420cdb9deea4b2552d"},"schema_version":"1.0","source":{"id":"2002.11328","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2002.11328","created_at":"2026-07-05T01:57:50Z"},{"alias_kind":"arxiv_version","alias_value":"2002.11328v3","created_at":"2026-07-05T01:57:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2002.11328","created_at":"2026-07-05T01:57:50Z"},{"alias_kind":"pith_short_12","alias_value":"XAOR2CG4FY3G","created_at":"2026-07-05T01:57:50Z"},{"alias_kind":"pith_short_16","alias_value":"XAOR2CG4FY3GRDG7","created_at":"2026-07-05T01:57:50Z"},{"alias_kind":"pith_short_8","alias_value":"XAOR2CG4","created_at":"2026-07-05T01:57:50Z"}],"graph_snapshots":[{"event_id":"sha256:20daf4d2b52d4ff18f24d1a463c0b28372e884f66def8746f79500c6ba8bee9b","target":"graph","created_at":"2026-07-05T01:57:50Z","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/2002.11328/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The classical bias-variance trade-off predicts that bias decreases and variance increase with model complexity, leading to a U-shaped risk curve. Recent work calls this into question for neural networks and other over-parameterized models, for which it is often observed that larger models generalize better. We provide a simple explanation for this by measuring the bias and variance of neural networks: while the bias is monotonically decreasing as in the classical theory, the variance is unimodal or bell-shaped: it increases then decreases with the width of the network. We vary the network arch","authors_text":"Chong You, Jacob Steinhardt, Yaodong Yu, Yi Ma, Zitong Yang","cross_cats":["stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2020-02-26T07:21:54Z","title":"Rethinking Bias-Variance Trade-off for Generalization of Neural Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2002.11328","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:fbd6fd4b3dac6badcea6859ace3dbf892043485a1202269c9b1915f1212a04f2","target":"record","created_at":"2026-07-05T01:57:50Z","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":"94cf676b6ce0f1a68514ff7847c59e3ff97f1fb59a9e2cc6dfc5de3d0ea315e1","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2020-02-26T07:21:54Z","title_canon_sha256":"e59663841e76a0a62606bc94ef022df9554dc41d07ce7c420cdb9deea4b2552d"},"schema_version":"1.0","source":{"id":"2002.11328","kind":"arxiv","version":3}},"canonical_sha256":"b81d1d08dc2e36688cdfdd23d907fad368ad5959061e3b0c14d0531e134ab1ed","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b81d1d08dc2e36688cdfdd23d907fad368ad5959061e3b0c14d0531e134ab1ed","first_computed_at":"2026-07-05T01:57:50.317023Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:57:50.317023Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+oY/PkLbu96zYyMSDxWTE/YDBrU6jcYhCI8igP0jkaGl0BXEOjVmm+8TVo5dj0wj93Z0lVN6VdnQmmoPFFtwCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T01:57:50.317445Z","signed_message":"canonical_sha256_bytes"},"source_id":"2002.11328","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fbd6fd4b3dac6badcea6859ace3dbf892043485a1202269c9b1915f1212a04f2","sha256:20daf4d2b52d4ff18f24d1a463c0b28372e884f66def8746f79500c6ba8bee9b"],"state_sha256":"b65366cc53bbdf44f53f1c020f7d17d4257969b057321c2f08744cb64c946429"}