{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:54267PMJVQYGX6I7AD55U4FZ4V","short_pith_number":"pith:54267PMJ","canonical_record":{"source":{"id":"1806.06827","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2018-06-18T17:04:04Z","cross_cats_sorted":["cs.LG"],"title_canon_sha256":"667038f77f58af68d8ce499c6dd75b7434f4d555998aed8b71039bb8f1bda529","abstract_canon_sha256":"9cb98d10a9307159d8960f56926bd75d9dbd1707dff4b8758732208f511303aa"},"schema_version":"1.0"},"canonical_sha256":"ef35efbd89ac306bf91f00fbda70b9e569bc7dc044a7f78dc6d5d1c64fbd52a5","source":{"kind":"arxiv","id":"1806.06827","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.06827","created_at":"2026-05-18T00:06:50Z"},{"alias_kind":"arxiv_version","alias_value":"1806.06827v2","created_at":"2026-05-18T00:06:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.06827","created_at":"2026-05-18T00:06:50Z"},{"alias_kind":"pith_short_12","alias_value":"54267PMJVQYG","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_16","alias_value":"54267PMJVQYGX6I7","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_8","alias_value":"54267PMJ","created_at":"2026-05-18T12:32:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:54267PMJVQYGX6I7AD55U4FZ4V","target":"record","payload":{"canonical_record":{"source":{"id":"1806.06827","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2018-06-18T17:04:04Z","cross_cats_sorted":["cs.LG"],"title_canon_sha256":"667038f77f58af68d8ce499c6dd75b7434f4d555998aed8b71039bb8f1bda529","abstract_canon_sha256":"9cb98d10a9307159d8960f56926bd75d9dbd1707dff4b8758732208f511303aa"},"schema_version":"1.0"},"canonical_sha256":"ef35efbd89ac306bf91f00fbda70b9e569bc7dc044a7f78dc6d5d1c64fbd52a5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:06:50.600188Z","signature_b64":"x7rGlaNOqoh/QF5eRwBJZ3jbExzG8/5mbT6r2aOHMOyGbmw7tbF8dQw0J3i5gRnZBUkKvfgnlNrsiFQ394tlDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ef35efbd89ac306bf91f00fbda70b9e569bc7dc044a7f78dc6d5d1c64fbd52a5","last_reissued_at":"2026-05-18T00:06:50.599485Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:06:50.599485Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1806.06827","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:06:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"e+gR3hxFsSyMuaoSuaxKJA07ogYKpgFPqrE/w9Ip4wT2gydR6U1lYN14wW9pDfCUlt5xQw7cjqzud85QC4h4AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T21:01:36.059391Z"},"content_sha256":"47b9fe2afbb74268e948437be0f51558ee7cc33d107eff4f66cdac1abdedc284","schema_version":"1.0","event_id":"sha256:47b9fe2afbb74268e948437be0f51558ee7cc33d107eff4f66cdac1abdedc284"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:54267PMJVQYGX6I7AD55U4FZ4V","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"PAC-Bayes bounds for stable algorithms with instance-dependent priors","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LG"],"primary_cat":"stat.ML","authors_text":"Csaba Szepesvari, Emilio Parrado-Hernandez, John Shawe-Taylor, Omar Rivasplata, Shiliang Sun","submitted_at":"2018-06-18T17:04:04Z","abstract_excerpt":"PAC-Bayes bounds have been proposed to get risk estimates based on a training sample. In this paper the PAC-Bayes approach is combined with stability of the hypothesis learned by a Hilbert space valued algorithm. The PAC-Bayes setting is used with a Gaussian prior centered at the expected output. Thus a novelty of our paper is using priors defined in terms of the data-generating distribution. Our main result estimates the risk of the randomized algorithm in terms of the hypothesis stability coefficients. We also provide a new bound for the SVM classifier, which is compared to other known bound"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.06827","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:06:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fmZcUijk9g/X/w3IgPst7rKVRfbHNJdApDrCgaB0WpebcYhMKn+/ONjUa11HrI1mPxRstrhaxXJCNLh04PO0CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T21:01:36.059975Z"},"content_sha256":"a90789d0eebac03fc491db8014507cd2a3471356c5ff635ce7b228930c8aab7f","schema_version":"1.0","event_id":"sha256:a90789d0eebac03fc491db8014507cd2a3471356c5ff635ce7b228930c8aab7f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/54267PMJVQYGX6I7AD55U4FZ4V/bundle.json","state_url":"https://pith.science/pith/54267PMJVQYGX6I7AD55U4FZ4V/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/54267PMJVQYGX6I7AD55U4FZ4V/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-26T21:01:36Z","links":{"resolver":"https://pith.science/pith/54267PMJVQYGX6I7AD55U4FZ4V","bundle":"https://pith.science/pith/54267PMJVQYGX6I7AD55U4FZ4V/bundle.json","state":"https://pith.science/pith/54267PMJVQYGX6I7AD55U4FZ4V/state.json","well_known_bundle":"https://pith.science/.well-known/pith/54267PMJVQYGX6I7AD55U4FZ4V/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:54267PMJVQYGX6I7AD55U4FZ4V","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":"9cb98d10a9307159d8960f56926bd75d9dbd1707dff4b8758732208f511303aa","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2018-06-18T17:04:04Z","title_canon_sha256":"667038f77f58af68d8ce499c6dd75b7434f4d555998aed8b71039bb8f1bda529"},"schema_version":"1.0","source":{"id":"1806.06827","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.06827","created_at":"2026-05-18T00:06:50Z"},{"alias_kind":"arxiv_version","alias_value":"1806.06827v2","created_at":"2026-05-18T00:06:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.06827","created_at":"2026-05-18T00:06:50Z"},{"alias_kind":"pith_short_12","alias_value":"54267PMJVQYG","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_16","alias_value":"54267PMJVQYGX6I7","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_8","alias_value":"54267PMJ","created_at":"2026-05-18T12:32:05Z"}],"graph_snapshots":[{"event_id":"sha256:a90789d0eebac03fc491db8014507cd2a3471356c5ff635ce7b228930c8aab7f","target":"graph","created_at":"2026-05-18T00:06:50Z","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":"PAC-Bayes bounds have been proposed to get risk estimates based on a training sample. In this paper the PAC-Bayes approach is combined with stability of the hypothesis learned by a Hilbert space valued algorithm. The PAC-Bayes setting is used with a Gaussian prior centered at the expected output. Thus a novelty of our paper is using priors defined in terms of the data-generating distribution. Our main result estimates the risk of the randomized algorithm in terms of the hypothesis stability coefficients. We also provide a new bound for the SVM classifier, which is compared to other known bound","authors_text":"Csaba Szepesvari, Emilio Parrado-Hernandez, John Shawe-Taylor, Omar Rivasplata, Shiliang Sun","cross_cats":["cs.LG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2018-06-18T17:04:04Z","title":"PAC-Bayes bounds for stable algorithms with instance-dependent priors"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.06827","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":"sha256:47b9fe2afbb74268e948437be0f51558ee7cc33d107eff4f66cdac1abdedc284","target":"record","created_at":"2026-05-18T00:06:50Z","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":"9cb98d10a9307159d8960f56926bd75d9dbd1707dff4b8758732208f511303aa","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2018-06-18T17:04:04Z","title_canon_sha256":"667038f77f58af68d8ce499c6dd75b7434f4d555998aed8b71039bb8f1bda529"},"schema_version":"1.0","source":{"id":"1806.06827","kind":"arxiv","version":2}},"canonical_sha256":"ef35efbd89ac306bf91f00fbda70b9e569bc7dc044a7f78dc6d5d1c64fbd52a5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ef35efbd89ac306bf91f00fbda70b9e569bc7dc044a7f78dc6d5d1c64fbd52a5","first_computed_at":"2026-05-18T00:06:50.599485Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:06:50.599485Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"x7rGlaNOqoh/QF5eRwBJZ3jbExzG8/5mbT6r2aOHMOyGbmw7tbF8dQw0J3i5gRnZBUkKvfgnlNrsiFQ394tlDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:06:50.600188Z","signed_message":"canonical_sha256_bytes"},"source_id":"1806.06827","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:47b9fe2afbb74268e948437be0f51558ee7cc33d107eff4f66cdac1abdedc284","sha256:a90789d0eebac03fc491db8014507cd2a3471356c5ff635ce7b228930c8aab7f"],"state_sha256":"94950f85f0d56338556700efb0a02d3220657cf6a2a24d841b1bf03bdd54b79f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DEnefiAu6n6T76y3cH/i0BKPKkCdrlYvtHIPBFGH7Lip2LgcBVMNCKrIzTB69QgXvpIxfvTPISjL07dVg+5vDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T21:01:36.063146Z","bundle_sha256":"e776b2ad97f1e05716555b93947435f4ed36d887a4bd66a5c6fcd1878081e344"}}