{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:OJR7PYQZO2ICXZDHKETB4QWADC","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":"75fd39f18329c90c46f898fdb099e41407dadf1358b194bafd03ac85abc69669","cross_cats_sorted":["cs.AI"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2021-09-29T15:44:26Z","title_canon_sha256":"2c23abfa33a1c7a4da82ee2f0c0c68c146151f7b2494cdd3333b33948515b9f0"},"schema_version":"1.0","source":{"id":"2109.14509","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2109.14509","created_at":"2026-07-05T04:02:09Z"},{"alias_kind":"arxiv_version","alias_value":"2109.14509v4","created_at":"2026-07-05T04:02:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2109.14509","created_at":"2026-07-05T04:02:09Z"},{"alias_kind":"pith_short_12","alias_value":"OJR7PYQZO2IC","created_at":"2026-07-05T04:02:09Z"},{"alias_kind":"pith_short_16","alias_value":"OJR7PYQZO2ICXZDH","created_at":"2026-07-05T04:02:09Z"},{"alias_kind":"pith_short_8","alias_value":"OJR7PYQZ","created_at":"2026-07-05T04:02:09Z"}],"graph_snapshots":[{"event_id":"sha256:894a0f6e986637c0a67b6d6ea168d167201c8ba852396a98b639802f8301875a","target":"graph","created_at":"2026-07-05T04:02:09Z","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/2109.14509/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Understanding the source of the superior generalization ability of NNs remains one of the most important problems in ML research. There have been a series of theoretical works trying to derive non-vacuous bounds for NNs. Recently, the compression of information stored in weights (IIW) is proved to play a key role in NNs generalization based on the PAC-Bayes theorem. However, no solution of IIW has ever been provided, which builds a barrier for further investigation of the IIW's property and its potential in practical deep learning. In this paper, we propose an algorithm for the efficient appro","authors_text":"Ercan E. Kuruoglu, Jimeng Sun, Shao-Lun Huang, Xi Chen, Yefeng Zheng, Zifeng Wang","cross_cats":["cs.AI"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2021-09-29T15:44:26Z","title":"PAC-Bayes Information Bottleneck"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2109.14509","kind":"arxiv","version":4},"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:fe7a4283898641efe383b247d2c8ee4e56f192805e78897fb9d42ac2a45b6c01","target":"record","created_at":"2026-07-05T04:02:09Z","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":"75fd39f18329c90c46f898fdb099e41407dadf1358b194bafd03ac85abc69669","cross_cats_sorted":["cs.AI"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2021-09-29T15:44:26Z","title_canon_sha256":"2c23abfa33a1c7a4da82ee2f0c0c68c146151f7b2494cdd3333b33948515b9f0"},"schema_version":"1.0","source":{"id":"2109.14509","kind":"arxiv","version":4}},"canonical_sha256":"7263f7e21976902be46751261e42c018b7d88cac6776e7c46a809822279030d6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7263f7e21976902be46751261e42c018b7d88cac6776e7c46a809822279030d6","first_computed_at":"2026-07-05T04:02:09.321524Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:02:09.321524Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iUyi6w1C9i5DOLzXkDFNNeU9xyGWqWztikwUfy/y8gEcTLXVINmn56c+LuHEhxBFMD7mgbsvMrwfsMNVgXNUDg==","signature_status":"signed_v1","signed_at":"2026-07-05T04:02:09.322051Z","signed_message":"canonical_sha256_bytes"},"source_id":"2109.14509","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fe7a4283898641efe383b247d2c8ee4e56f192805e78897fb9d42ac2a45b6c01","sha256:894a0f6e986637c0a67b6d6ea168d167201c8ba852396a98b639802f8301875a"],"state_sha256":"c9c0ecf39c3a2906da21ecbacc3c66a8daf73eb4dca57cbb85ceac2ebbddb596"}