{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:SQKBAUYDFKYTZUOS5OGX3D5KR5","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":"2071d021437a5d61b9045d1e327eea762df06535f05f11a30f0c6e05e758fe59","cross_cats_sorted":["cs.AI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2022-07-06T12:34:33Z","title_canon_sha256":"b102e30eead63d03075bffcc209a0282faebc0f548141ca3dad2d185b27475ae"},"schema_version":"1.0","source":{"id":"2207.02625","kind":"arxiv","version":6}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2207.02625","created_at":"2026-07-05T05:52:56Z"},{"alias_kind":"arxiv_version","alias_value":"2207.02625v6","created_at":"2026-07-05T05:52:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2207.02625","created_at":"2026-07-05T05:52:56Z"},{"alias_kind":"pith_short_12","alias_value":"SQKBAUYDFKYT","created_at":"2026-07-05T05:52:56Z"},{"alias_kind":"pith_short_16","alias_value":"SQKBAUYDFKYTZUOS","created_at":"2026-07-05T05:52:56Z"},{"alias_kind":"pith_short_8","alias_value":"SQKBAUYD","created_at":"2026-07-05T05:52:56Z"}],"graph_snapshots":[{"event_id":"sha256:63198b7e8837d095e76ce9264e5b8b87d58e2fd6868a1fa8d9d2c0c301c9e0f8","target":"graph","created_at":"2026-07-05T05:52:56Z","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/2207.02625/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we analyze batch normalization from the perspective of discriminability and find the disadvantages ignored by previous studies: the difference in $l_2$ norms of sample features can hinder batch normalization from obtaining more distinguished inter-class features and more compact intra-class features. To address this issue, we propose a simple yet effective method to equalize the $l_2$ norms of sample features. Concretely, we $l_2$-normalize each sample feature before feeding them into batch normalization, and therefore the features are of the same magnitude. Since the proposed m","authors_text":"Chang Liu, Fan Xu, Guoli Song, Jie Chen, Kehan Li, Pengchong Qiao, Runyi Yu, Xiangyang Ji, Yian Zhao, Zhennan Wang","cross_cats":["cs.AI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2022-07-06T12:34:33Z","title":"$L_2$BN: Enhancing Batch Normalization by Equalizing the $L_2$ Norms of Features"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2207.02625","kind":"arxiv","version":6},"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":"sha256:5876a04b5986be43f7660121ced4f9d750a3e61dacc6b0ea725d34f36a510a82","target":"record","created_at":"2026-07-05T05:52:56Z","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":"2071d021437a5d61b9045d1e327eea762df06535f05f11a30f0c6e05e758fe59","cross_cats_sorted":["cs.AI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2022-07-06T12:34:33Z","title_canon_sha256":"b102e30eead63d03075bffcc209a0282faebc0f548141ca3dad2d185b27475ae"},"schema_version":"1.0","source":{"id":"2207.02625","kind":"arxiv","version":6}},"canonical_sha256":"94141053032ab13cd1d2eb8d7d8faa8f66d748a40e5f66ebc3af663597ea7485","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"94141053032ab13cd1d2eb8d7d8faa8f66d748a40e5f66ebc3af663597ea7485","first_computed_at":"2026-07-05T05:52:56.958391Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:52:56.958391Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HU7VeUlIazGYtBDtYBPoFaaxAor433kllLgF63oL7Uq7PPwm9r81DNBewwSJbhYhWHelrGyu6FIQhBwYHql4Bg==","signature_status":"signed_v1","signed_at":"2026-07-05T05:52:56.958859Z","signed_message":"canonical_sha256_bytes"},"source_id":"2207.02625","source_kind":"arxiv","source_version":6}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5876a04b5986be43f7660121ced4f9d750a3e61dacc6b0ea725d34f36a510a82","sha256:63198b7e8837d095e76ce9264e5b8b87d58e2fd6868a1fa8d9d2c0c301c9e0f8"],"state_sha256":"6ef5f44a18f809f5e505dccc3363c8a0981cc35964c03256ae2e69407679520f"}