{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:5FT5HT5HCAOBS6IRSOHVDABNFG","short_pith_number":"pith:5FT5HT5H","canonical_record":{"source":{"id":"2010.05983","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2020-10-12T19:18:27Z","cross_cats_sorted":["cs.AI"],"title_canon_sha256":"dcdd1bb45aecdbd6ff371e9fa862a44221a2c3c37cfadd19d66f49ced60f3c25","abstract_canon_sha256":"aaba53fbebf6ffefa4bd01cbb984b9c5e0715e70fc05a81980ff9b849727ebf8"},"schema_version":"1.0"},"canonical_sha256":"e967d3cfa7101c197911938f51802d29870394b3b07ba158f5a0fb439eb64f31","source":{"kind":"arxiv","id":"2010.05983","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2010.05983","created_at":"2026-07-05T01:43:42Z"},{"alias_kind":"arxiv_version","alias_value":"2010.05983v3","created_at":"2026-07-05T01:43:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2010.05983","created_at":"2026-07-05T01:43:42Z"},{"alias_kind":"pith_short_12","alias_value":"5FT5HT5HCAOB","created_at":"2026-07-05T01:43:42Z"},{"alias_kind":"pith_short_16","alias_value":"5FT5HT5HCAOBS6IR","created_at":"2026-07-05T01:43:42Z"},{"alias_kind":"pith_short_8","alias_value":"5FT5HT5H","created_at":"2026-07-05T01:43:42Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:5FT5HT5HCAOBS6IRSOHVDABNFG","target":"record","payload":{"canonical_record":{"source":{"id":"2010.05983","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2020-10-12T19:18:27Z","cross_cats_sorted":["cs.AI"],"title_canon_sha256":"dcdd1bb45aecdbd6ff371e9fa862a44221a2c3c37cfadd19d66f49ced60f3c25","abstract_canon_sha256":"aaba53fbebf6ffefa4bd01cbb984b9c5e0715e70fc05a81980ff9b849727ebf8"},"schema_version":"1.0"},"canonical_sha256":"e967d3cfa7101c197911938f51802d29870394b3b07ba158f5a0fb439eb64f31","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:43:42.689999Z","signature_b64":"wC/+R52ti+b1uOxrF5D7b2Evm3wSMKGitj4tSkQkQjykqQGv6jXxp2Xvly8m9fcCT/0pggKiyTa8ar42oMKxCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e967d3cfa7101c197911938f51802d29870394b3b07ba158f5a0fb439eb64f31","last_reissued_at":"2026-07-05T01:43:42.689576Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:43:42.689576Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2010.05983","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T01:43:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FiX2D34sHtPHGsO08dANPFu2Y7IFmI+MTEPhLqA5hrVPcYjbkMKvRpg8WW9jzsCLY6QIAj8vino3so227h5NAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-26T21:44:11.743802Z"},"content_sha256":"9ecaebb9bd29b762d4459b6d5e4e3d8e2ee129554c830789c9b568c3461cea1f","schema_version":"1.0","event_id":"sha256:9ecaebb9bd29b762d4459b6d5e4e3d8e2ee129554c830789c9b568c3461cea1f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:5FT5HT5HCAOBS6IRSOHVDABNFG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"How does Weight Correlation Affect the Generalisation Ability of Deep Neural Networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.AI"],"primary_cat":"cs.LG","authors_text":"Gaojie Jin, Liang Zhang, Lijun Zhang, Sven Schewe, Xiaowei Huang, Xinping Yi","submitted_at":"2020-10-12T19:18:27Z","abstract_excerpt":"This paper studies the novel concept of weight correlation in deep neural networks and discusses its impact on the networks' generalisation ability. For fully-connected layers, the weight correlation is defined as the average cosine similarity between weight vectors of neurons, and for convolutional layers, the weight correlation is defined as the cosine similarity between filter matrices. Theoretically, we show that, weight correlation can, and should, be incorporated into the PAC Bayesian framework for the generalisation of neural networks, and the resulting generalisation bound is monotonic"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2010.05983","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2010.05983/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T01:43:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bmtW6QVW92asFwSraUwuEP+DfaKEIwrDS2vNGCX1uHcA7THyqSYA+utCYxVaeKhbHI9h4v3VW9rmrP959TANAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-26T21:44:11.744182Z"},"content_sha256":"a4b8e870f10cbe763c293a078f5779059c31a07b699b3ebca5ef3e628cc7a2ef","schema_version":"1.0","event_id":"sha256:a4b8e870f10cbe763c293a078f5779059c31a07b699b3ebca5ef3e628cc7a2ef"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5FT5HT5HCAOBS6IRSOHVDABNFG/bundle.json","state_url":"https://pith.science/pith/5FT5HT5HCAOBS6IRSOHVDABNFG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5FT5HT5HCAOBS6IRSOHVDABNFG/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-07-26T21:44:11Z","links":{"resolver":"https://pith.science/pith/5FT5HT5HCAOBS6IRSOHVDABNFG","bundle":"https://pith.science/pith/5FT5HT5HCAOBS6IRSOHVDABNFG/bundle.json","state":"https://pith.science/pith/5FT5HT5HCAOBS6IRSOHVDABNFG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5FT5HT5HCAOBS6IRSOHVDABNFG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:5FT5HT5HCAOBS6IRSOHVDABNFG","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":"aaba53fbebf6ffefa4bd01cbb984b9c5e0715e70fc05a81980ff9b849727ebf8","cross_cats_sorted":["cs.AI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2020-10-12T19:18:27Z","title_canon_sha256":"dcdd1bb45aecdbd6ff371e9fa862a44221a2c3c37cfadd19d66f49ced60f3c25"},"schema_version":"1.0","source":{"id":"2010.05983","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2010.05983","created_at":"2026-07-05T01:43:42Z"},{"alias_kind":"arxiv_version","alias_value":"2010.05983v3","created_at":"2026-07-05T01:43:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2010.05983","created_at":"2026-07-05T01:43:42Z"},{"alias_kind":"pith_short_12","alias_value":"5FT5HT5HCAOB","created_at":"2026-07-05T01:43:42Z"},{"alias_kind":"pith_short_16","alias_value":"5FT5HT5HCAOBS6IR","created_at":"2026-07-05T01:43:42Z"},{"alias_kind":"pith_short_8","alias_value":"5FT5HT5H","created_at":"2026-07-05T01:43:42Z"}],"graph_snapshots":[{"event_id":"sha256:a4b8e870f10cbe763c293a078f5779059c31a07b699b3ebca5ef3e628cc7a2ef","target":"graph","created_at":"2026-07-05T01:43:42Z","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/2010.05983/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper studies the novel concept of weight correlation in deep neural networks and discusses its impact on the networks' generalisation ability. For fully-connected layers, the weight correlation is defined as the average cosine similarity between weight vectors of neurons, and for convolutional layers, the weight correlation is defined as the cosine similarity between filter matrices. Theoretically, we show that, weight correlation can, and should, be incorporated into the PAC Bayesian framework for the generalisation of neural networks, and the resulting generalisation bound is monotonic","authors_text":"Gaojie Jin, Liang Zhang, Lijun Zhang, Sven Schewe, Xiaowei Huang, Xinping Yi","cross_cats":["cs.AI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2020-10-12T19:18:27Z","title":"How does Weight Correlation Affect the Generalisation Ability of Deep Neural Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2010.05983","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":"sha256:9ecaebb9bd29b762d4459b6d5e4e3d8e2ee129554c830789c9b568c3461cea1f","target":"record","created_at":"2026-07-05T01:43:42Z","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":"aaba53fbebf6ffefa4bd01cbb984b9c5e0715e70fc05a81980ff9b849727ebf8","cross_cats_sorted":["cs.AI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2020-10-12T19:18:27Z","title_canon_sha256":"dcdd1bb45aecdbd6ff371e9fa862a44221a2c3c37cfadd19d66f49ced60f3c25"},"schema_version":"1.0","source":{"id":"2010.05983","kind":"arxiv","version":3}},"canonical_sha256":"e967d3cfa7101c197911938f51802d29870394b3b07ba158f5a0fb439eb64f31","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e967d3cfa7101c197911938f51802d29870394b3b07ba158f5a0fb439eb64f31","first_computed_at":"2026-07-05T01:43:42.689576Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:43:42.689576Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wC/+R52ti+b1uOxrF5D7b2Evm3wSMKGitj4tSkQkQjykqQGv6jXxp2Xvly8m9fcCT/0pggKiyTa8ar42oMKxCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T01:43:42.689999Z","signed_message":"canonical_sha256_bytes"},"source_id":"2010.05983","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9ecaebb9bd29b762d4459b6d5e4e3d8e2ee129554c830789c9b568c3461cea1f","sha256:a4b8e870f10cbe763c293a078f5779059c31a07b699b3ebca5ef3e628cc7a2ef"],"state_sha256":"4638ce7637eafc9a84ef47e94a3e1937c75e35639250678333c2f4e9bdb6d799"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4/fW5XT0QS9K7zQis81pfUa2HKxlGwIb92FWIp/TQVr/KrpaUPv1Ixu9pmBP9VCpx2vqwEHvzOTYHxkEKa33Dg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-26T21:44:11.746395Z","bundle_sha256":"9f520122f51450818387708a74ac63ba64f6224cc8412ab48156db885dc27870"}}