{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:LSG3BAFDTAJQT5XT6WOYWX27S4","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":"32d142677838fd205f5e42a5feacd60034d526824cb4888bbd9e03d0ffc6080f","cross_cats_sorted":["cs.AI"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2023-07-01T20:59:05Z","title_canon_sha256":"361339761ddc52a2c91eb9ad0e5c3904de212ba2dcd290b1a93d487d69869667"},"schema_version":"1.0","source":{"id":"2307.00426","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2307.00426","created_at":"2026-07-05T06:27:52Z"},{"alias_kind":"arxiv_version","alias_value":"2307.00426v2","created_at":"2026-07-05T06:27:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2307.00426","created_at":"2026-07-05T06:27:52Z"},{"alias_kind":"pith_short_12","alias_value":"LSG3BAFDTAJQ","created_at":"2026-07-05T06:27:52Z"},{"alias_kind":"pith_short_16","alias_value":"LSG3BAFDTAJQT5XT","created_at":"2026-07-05T06:27:52Z"},{"alias_kind":"pith_short_8","alias_value":"LSG3BAFD","created_at":"2026-07-05T06:27:52Z"}],"graph_snapshots":[{"event_id":"sha256:9394097b5e8312a7be94407065619f1f27aa19edac5d04be35103b6cffeda6df","target":"graph","created_at":"2026-07-05T06:27:52Z","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/2307.00426/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Deep artificial neural networks achieve surprising generalization abilities that remain poorly understood. In this paper, we present a new approach to analyzing generalization for deep feed-forward ReLU networks that takes advantage of the degree of sparsity that is achieved in the hidden layer activations. By developing a framework that accounts for this reduced effective model size for each input sample, we are able to show fundamental trade-offs between sparsity and generalization. Importantly, our results make no strong assumptions about the degree of sparsity achieved by the model, and it","authors_text":"Jeremias Sulam, Ramchandran Muthukumar","cross_cats":["cs.AI"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2023-07-01T20:59:05Z","title":"Sparsity-aware generalization theory for deep neural networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2307.00426","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:b83b3446353aa295baf1163ac554be1da7a450ee92db6f7319564dda9c92a938","target":"record","created_at":"2026-07-05T06:27:52Z","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":"32d142677838fd205f5e42a5feacd60034d526824cb4888bbd9e03d0ffc6080f","cross_cats_sorted":["cs.AI"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2023-07-01T20:59:05Z","title_canon_sha256":"361339761ddc52a2c91eb9ad0e5c3904de212ba2dcd290b1a93d487d69869667"},"schema_version":"1.0","source":{"id":"2307.00426","kind":"arxiv","version":2}},"canonical_sha256":"5c8db080a3981309f6f3f59d8b5f5f97213b9faf4d58b9a9b8ce54b8e22bdedd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5c8db080a3981309f6f3f59d8b5f5f97213b9faf4d58b9a9b8ce54b8e22bdedd","first_computed_at":"2026-07-05T06:27:52.591416Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:27:52.591416Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uQPz63NSCo3hOK7fMacxjnKHmuyDhcGoIRcWXkx8bve51nlsrSWJ6huw3KBzOEpArxlX+vMR6PIDROvmRVa7BQ==","signature_status":"signed_v1","signed_at":"2026-07-05T06:27:52.591834Z","signed_message":"canonical_sha256_bytes"},"source_id":"2307.00426","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b83b3446353aa295baf1163ac554be1da7a450ee92db6f7319564dda9c92a938","sha256:9394097b5e8312a7be94407065619f1f27aa19edac5d04be35103b6cffeda6df"],"state_sha256":"be8e95ce241045baf4f33393c4793e6173d33c4c4c7402c453809c49fabf830b"}