{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:7SMRKCA3XF76WENT6T3U33FD3H","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":"7e4c301610fadbb62c8ff3eb868c848729b7163158aebcde5915b0bd481575e1","cross_cats_sorted":["cs.AI","cs.NE","math.ST","stat.ML","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2019-05-29T17:20:36Z","title_canon_sha256":"d707a1f96d0c3fc88a25e2626f6d92f4a2de5d08cac7f6b91b1843b0ce249213"},"schema_version":"1.0","source":{"id":"1905.12600","kind":"arxiv","version":6}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.12600","created_at":"2026-07-05T00:53:50Z"},{"alias_kind":"arxiv_version","alias_value":"1905.12600v6","created_at":"2026-07-05T00:53:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.12600","created_at":"2026-07-05T00:53:50Z"},{"alias_kind":"pith_short_12","alias_value":"7SMRKCA3XF76","created_at":"2026-07-05T00:53:50Z"},{"alias_kind":"pith_short_16","alias_value":"7SMRKCA3XF76WENT","created_at":"2026-07-05T00:53:50Z"},{"alias_kind":"pith_short_8","alias_value":"7SMRKCA3","created_at":"2026-07-05T00:53:50Z"}],"graph_snapshots":[{"event_id":"sha256:ac616aa2c231267a015eba4b1401076a57bd3e17c0a010284fa32390d2389769","target":"graph","created_at":"2026-07-05T00:53:50Z","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/1905.12600/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We prove bounds on the generalization error of convolutional networks. The bounds are in terms of the training loss, the number of parameters, the Lipschitz constant of the loss and the distance from the weights to the initial weights. They are independent of the number of pixels in the input, and the height and width of hidden feature maps. We present experiments using CIFAR-10 with varying hyperparameters of a deep convolutional network, comparing our bounds with practical generalization gaps.","authors_text":"Hanie Sedghi, Philip M. Long","cross_cats":["cs.AI","cs.NE","math.ST","stat.ML","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2019-05-29T17:20:36Z","title":"Generalization bounds for deep convolutional neural networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.12600","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":"sha256:68b8f415968614cc6b4d510d72627342b85b11c52fb9c0ea079c5008cc481dae","target":"record","created_at":"2026-07-05T00:53:50Z","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":"7e4c301610fadbb62c8ff3eb868c848729b7163158aebcde5915b0bd481575e1","cross_cats_sorted":["cs.AI","cs.NE","math.ST","stat.ML","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2019-05-29T17:20:36Z","title_canon_sha256":"d707a1f96d0c3fc88a25e2626f6d92f4a2de5d08cac7f6b91b1843b0ce249213"},"schema_version":"1.0","source":{"id":"1905.12600","kind":"arxiv","version":6}},"canonical_sha256":"fc9915081bb97feb11b3f4f74deca3d9d8c50fb15c047738a6ab4efdbae7a1ce","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fc9915081bb97feb11b3f4f74deca3d9d8c50fb15c047738a6ab4efdbae7a1ce","first_computed_at":"2026-07-05T00:53:50.550719Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:53:50.550719Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Zo7g7Q90cDq7E+AsjVA4J1wu4b0p9ojZ6Hr5rBnPc4CgD5WrpuhnMGjr8ox+1mDvTo0Jm36ubtxEwPiW5vh2Ag==","signature_status":"signed_v1","signed_at":"2026-07-05T00:53:50.551164Z","signed_message":"canonical_sha256_bytes"},"source_id":"1905.12600","source_kind":"arxiv","source_version":6}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:68b8f415968614cc6b4d510d72627342b85b11c52fb9c0ea079c5008cc481dae","sha256:ac616aa2c231267a015eba4b1401076a57bd3e17c0a010284fa32390d2389769"],"state_sha256":"eff3bb49b43495154cd71f483616f7728d734419398ed0da7168b7b5c5bd4552"}