{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:3RF7L6QEUPCPCOTATXIWSZVPSP","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":"750dc8b8f1b16ba1452654f698a0abb9ca445aef9df1472bdd5ffc6c6a9d45d8","cross_cats_sorted":["cs.AI","cs.LG","cs.NE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2018-02-21T05:03:52Z","title_canon_sha256":"69db9e74529bb09d048a4793fbc143ac163a3c2a4b7d7d3ebde93c84b9b26ddc"},"schema_version":"1.0","source":{"id":"1802.07426","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.07426","created_at":"2026-05-17T23:51:54Z"},{"alias_kind":"arxiv_version","alias_value":"1802.07426v3","created_at":"2026-05-17T23:51:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.07426","created_at":"2026-05-17T23:51:54Z"},{"alias_kind":"pith_short_12","alias_value":"3RF7L6QEUPCP","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_16","alias_value":"3RF7L6QEUPCPCOTA","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_8","alias_value":"3RF7L6QE","created_at":"2026-05-18T12:32:02Z"}],"graph_snapshots":[{"event_id":"sha256:3b7862a2c6f4429ee0d296bb98a23e8e034badf8a21e12ade77fe6dbb89bbbca","target":"graph","created_at":"2026-05-17T23:51:54Z","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"},"paper":{"abstract_excerpt":"This paper introduces a novel measure-theoretic theory for machine learning that does not require statistical assumptions. Based on this theory, a new regularization method in deep learning is derived and shown to outperform previous methods in CIFAR-10, CIFAR-100, and SVHN. Moreover, the proposed theory provides a theoretical basis for a family of practically successful regularization methods in deep learning. We discuss several consequences of our results on one-shot learning, representation learning, deep learning, and curriculum learning. Unlike statistical learning theory, the proposed le","authors_text":"Kenji Kawaguchi, Leslie Pack Kaelbling, Vikas Verma, Yoshua Bengio","cross_cats":["cs.AI","cs.LG","cs.NE"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2018-02-21T05:03:52Z","title":"Generalization in Machine Learning via Analytical Learning Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.07426","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:d6a2dbf8110f451fa92c85b048175cb964686211b54434325672ab485970e3fe","target":"record","created_at":"2026-05-17T23:51:54Z","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":"750dc8b8f1b16ba1452654f698a0abb9ca445aef9df1472bdd5ffc6c6a9d45d8","cross_cats_sorted":["cs.AI","cs.LG","cs.NE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2018-02-21T05:03:52Z","title_canon_sha256":"69db9e74529bb09d048a4793fbc143ac163a3c2a4b7d7d3ebde93c84b9b26ddc"},"schema_version":"1.0","source":{"id":"1802.07426","kind":"arxiv","version":3}},"canonical_sha256":"dc4bf5fa04a3c4f13a609dd16966af93e345c7bd0dfa19ca5d9227aac56f4f21","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dc4bf5fa04a3c4f13a609dd16966af93e345c7bd0dfa19ca5d9227aac56f4f21","first_computed_at":"2026-05-17T23:51:54.737985Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:51:54.737985Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DZg4bB5q56nuDd4ZzyiRLERcx9UgZmdk8wnWkN/f3VA5rXoluNPOYCHw4IYiRBTV7hCLG9griK89Vyi1kqa/AQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:51:54.738447Z","signed_message":"canonical_sha256_bytes"},"source_id":"1802.07426","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d6a2dbf8110f451fa92c85b048175cb964686211b54434325672ab485970e3fe","sha256:3b7862a2c6f4429ee0d296bb98a23e8e034badf8a21e12ade77fe6dbb89bbbca"],"state_sha256":"bfe181da69582cdd96845f609490afe73a30c2696484ac374bdb5ef476799167"}