{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:YSQIGV43WJEY7DSJZMIYLAU2CM","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":"a2836b20583ad9a2124297e256800cc919e69bb9cd1df48d5392aca0b4977e25","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2017-12-26T19:20:55Z","title_canon_sha256":"5d1f824eb4f7393a697d0e5cc94b86f892ee18e2332cac0804ddbb405106dc72"},"schema_version":"1.0","source":{"id":"1712.09376","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.09376","created_at":"2026-05-17T23:48:07Z"},{"alias_kind":"arxiv_version","alias_value":"1712.09376v3","created_at":"2026-05-17T23:48:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.09376","created_at":"2026-05-17T23:48:07Z"},{"alias_kind":"pith_short_12","alias_value":"YSQIGV43WJEY","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_16","alias_value":"YSQIGV43WJEY7DSJ","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_8","alias_value":"YSQIGV43","created_at":"2026-05-18T12:31:56Z"}],"graph_snapshots":[{"event_id":"sha256:3183ff1ed48a70a780228fc38096ee1e38391f701969218f4e68519ebea1f181","target":"graph","created_at":"2026-05-17T23:48:07Z","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":"We show that Entropy-SGD (Chaudhari et al., 2017), when viewed as a learning algorithm, optimizes a PAC-Bayes bound on the risk of a Gibbs (posterior) classifier, i.e., a randomized classifier obtained by a risk-sensitive perturbation of the weights of a learned classifier. Entropy-SGD works by optimizing the bound's prior, violating the hypothesis of the PAC-Bayes theorem that the prior is chosen independently of the data. Indeed, available implementations of Entropy-SGD rapidly obtain zero training error on random labels and the same holds of the Gibbs posterior. In order to obtain a valid g","authors_text":"Daniel M. Roy, Gintare Karolina Dziugaite","cross_cats":["cs.LG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2017-12-26T19:20:55Z","title":"Entropy-SGD optimizes the prior of a PAC-Bayes bound: Generalization properties of Entropy-SGD and data-dependent priors"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.09376","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":"sha256:03d953f5e1d84399616f2376edb63a014ae7fed719f81cf322db1816c820294b","target":"record","created_at":"2026-05-17T23:48:07Z","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":"a2836b20583ad9a2124297e256800cc919e69bb9cd1df48d5392aca0b4977e25","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2017-12-26T19:20:55Z","title_canon_sha256":"5d1f824eb4f7393a697d0e5cc94b86f892ee18e2332cac0804ddbb405106dc72"},"schema_version":"1.0","source":{"id":"1712.09376","kind":"arxiv","version":3}},"canonical_sha256":"c4a083579bb2498f8e49cb1185829a132bb42587399574427331b1ac3aaf5bd4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c4a083579bb2498f8e49cb1185829a132bb42587399574427331b1ac3aaf5bd4","first_computed_at":"2026-05-17T23:48:07.712674Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:48:07.712674Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PNtwd1dfalDIC5yof8y2HH6iTzQW5YZbHfU3Jye9ItTqExQQPGWH54BA0VHk9IuNFRC3H5u1kuJD4L1IGSG4CQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:48:07.713185Z","signed_message":"canonical_sha256_bytes"},"source_id":"1712.09376","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:03d953f5e1d84399616f2376edb63a014ae7fed719f81cf322db1816c820294b","sha256:3183ff1ed48a70a780228fc38096ee1e38391f701969218f4e68519ebea1f181"],"state_sha256":"bc6581c10a7f9a5861d1830a5278eac509e15a072d47a4c49c0d1b2ddb2dc38d"}