{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:ZVC3HZWJFM3U4PIYE7U3LZHMF2","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":"b110e5d7926a21dbb36ee59a50d19bcc3b64facd1ade4bf6ca39c13b2be4b0e6","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2016-04-26T00:44:42Z","title_canon_sha256":"514ef24e13d9bb83273c5edf1d4ea5ae465b8c451de4e77784dfc44b8118265b"},"schema_version":"1.0","source":{"id":"1604.07484","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.07484","created_at":"2026-05-18T01:16:19Z"},{"alias_kind":"arxiv_version","alias_value":"1604.07484v1","created_at":"2026-05-18T01:16:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.07484","created_at":"2026-05-18T01:16:19Z"},{"alias_kind":"pith_short_12","alias_value":"ZVC3HZWJFM3U","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_16","alias_value":"ZVC3HZWJFM3U4PIY","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_8","alias_value":"ZVC3HZWJ","created_at":"2026-05-18T12:30:55Z"}],"graph_snapshots":[{"event_id":"sha256:716441de97ea48ba0e030dc793b4825e50c9269b41b01f2d036945129b3e2198","target":"graph","created_at":"2026-05-18T01:16:19Z","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 develop a novel multi-fidelity framework that goes far beyond the classical AR(1) Co-kriging scheme of Kennedy and O'Hagan (2000). Our method can handle general discontinuous cross-correlations among systems with different levels of fidelity. A combination of multi-fidelity Gaussian Processes (AR(1) Co-kriging) and deep neural networks enables us to construct a method that is immune to discontinuities. We demonstrate the effectiveness of the new technology using standard benchmark problems designed to resemble the outputs of complicated high- and low-fidelity codes.","authors_text":"George Karniadakis, Maziar Raissi","cross_cats":["stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2016-04-26T00:44:42Z","title":"Deep Multi-fidelity Gaussian Processes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.07484","kind":"arxiv","version":1},"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:cc2e50061c72274e2c584f556014e9d9d58d9fbf8a39ed1743e5bcbc2ab32093","target":"record","created_at":"2026-05-18T01:16:19Z","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":"b110e5d7926a21dbb36ee59a50d19bcc3b64facd1ade4bf6ca39c13b2be4b0e6","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2016-04-26T00:44:42Z","title_canon_sha256":"514ef24e13d9bb83273c5edf1d4ea5ae465b8c451de4e77784dfc44b8118265b"},"schema_version":"1.0","source":{"id":"1604.07484","kind":"arxiv","version":1}},"canonical_sha256":"cd45b3e6c92b374e3d1827e9b5e4ec2e875952151e549414fda61afa1461260c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cd45b3e6c92b374e3d1827e9b5e4ec2e875952151e549414fda61afa1461260c","first_computed_at":"2026-05-18T01:16:19.689589Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:16:19.689589Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Oj4fQzylHSlZttvS/f5eqJjtb++TO/dUBBbdzMfX2lRpUihTJ7mGIPn9umHNIs6EAueTHgOY16j1NI89d8/fCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:16:19.690353Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.07484","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cc2e50061c72274e2c584f556014e9d9d58d9fbf8a39ed1743e5bcbc2ab32093","sha256:716441de97ea48ba0e030dc793b4825e50c9269b41b01f2d036945129b3e2198"],"state_sha256":"cdf2fae109e1894b185f645f4dede35082d7cae8216a9851d9980254735ba49e"}