{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:QC4F64PYMFMFO7QHVT5ISXMBTI","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":"3e35fe18b9a37a8107997d1ca7492fd3c6670c58fb59104a3888c6724370c987","cross_cats_sorted":["cs.LG"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ML","submitted_at":"2023-05-11T08:29:34Z","title_canon_sha256":"48249d58d2cf9c7272ac526b0866b151cdb1fac5a0f73c5697e4852220fad2e5"},"schema_version":"1.0","source":{"id":"2305.06648","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2305.06648","created_at":"2026-07-05T06:59:52Z"},{"alias_kind":"arxiv_version","alias_value":"2305.06648v2","created_at":"2026-07-05T06:59:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2305.06648","created_at":"2026-07-05T06:59:52Z"},{"alias_kind":"pith_short_12","alias_value":"QC4F64PYMFMF","created_at":"2026-07-05T06:59:52Z"},{"alias_kind":"pith_short_16","alias_value":"QC4F64PYMFMFO7QH","created_at":"2026-07-05T06:59:52Z"},{"alias_kind":"pith_short_8","alias_value":"QC4F64PY","created_at":"2026-07-05T06:59:52Z"}],"graph_snapshots":[{"event_id":"sha256:432ccbd843b2a14f9ce15bfa99d51b69bd9c686f6d86fb631a354e1e61e8123a","target":"graph","created_at":"2026-07-05T06:59:52Z","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/2305.06648/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Neural ordinary differential equations (neural ODEs) are a popular family of continuous-depth deep learning models. In this work, we consider a large family of parameterized ODEs with continuous-in-time parameters, which include time-dependent neural ODEs. We derive a generalization bound for this class by a Lipschitz-based argument. By leveraging the analogy between neural ODEs and deep residual networks, our approach yields in particular a generalization bound for a class of deep residual networks. The bound involves the magnitude of the difference between successive weight matrices. We illu","authors_text":"Pierre Marion","cross_cats":["cs.LG"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ML","submitted_at":"2023-05-11T08:29:34Z","title":"Generalization bounds for neural ordinary differential equations and deep residual networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2305.06648","kind":"arxiv","version":2},"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":"sha256:73987e5a3fa06c26611d5793b961857dddc551941d32ab461390196c01689425","target":"record","created_at":"2026-07-05T06:59:52Z","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":"3e35fe18b9a37a8107997d1ca7492fd3c6670c58fb59104a3888c6724370c987","cross_cats_sorted":["cs.LG"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ML","submitted_at":"2023-05-11T08:29:34Z","title_canon_sha256":"48249d58d2cf9c7272ac526b0866b151cdb1fac5a0f73c5697e4852220fad2e5"},"schema_version":"1.0","source":{"id":"2305.06648","kind":"arxiv","version":2}},"canonical_sha256":"80b85f71f86158577e07acfa895d819a0d52e69940538c5ecee2de85addb3a3c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"80b85f71f86158577e07acfa895d819a0d52e69940538c5ecee2de85addb3a3c","first_computed_at":"2026-07-05T06:59:52.186347Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:59:52.186347Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rNNClZx1ZZWi4F1TkJWUKqtkHXhh3Gzsj6QtOk5TWPC+4adIJWjVoYJ4pNGqp6kwk6572VLF6QXk7S4GR1pZCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T06:59:52.186689Z","signed_message":"canonical_sha256_bytes"},"source_id":"2305.06648","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:73987e5a3fa06c26611d5793b961857dddc551941d32ab461390196c01689425","sha256:432ccbd843b2a14f9ce15bfa99d51b69bd9c686f6d86fb631a354e1e61e8123a"],"state_sha256":"9d3bd1367466aa317e7bda13f9809551832ad98d6d9db68be6c3091effb21c31"}