{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:JAEE5CGJ5I7ZKR5R2SHGELRWPA","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":"5207c743d72a8b01edfee610f6250ae5eabd9352f33214bfdfdb9c10aaaa8a9c","cross_cats_sorted":["cs.LG","physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2020-06-08T22:31:59Z","title_canon_sha256":"1409ad2fcae608d146420d767dc5f044efe72fe201974f0ea7185773ee3d8ff9"},"schema_version":"1.0","source":{"id":"2006.04972","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2006.04972","created_at":"2026-07-05T01:09:09Z"},{"alias_kind":"arxiv_version","alias_value":"2006.04972v1","created_at":"2026-07-05T01:09:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2006.04972","created_at":"2026-07-05T01:09:09Z"},{"alias_kind":"pith_short_12","alias_value":"JAEE5CGJ5I7Z","created_at":"2026-07-05T01:09:09Z"},{"alias_kind":"pith_short_16","alias_value":"JAEE5CGJ5I7ZKR5R","created_at":"2026-07-05T01:09:09Z"},{"alias_kind":"pith_short_8","alias_value":"JAEE5CGJ","created_at":"2026-07-05T01:09:09Z"}],"graph_snapshots":[{"event_id":"sha256:f9daadb0f24c9a57a5202519eda23f27820e8eaafb13a6d201a1cb2a15af4332","target":"graph","created_at":"2026-07-05T01:09:09Z","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/2006.04972/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The key task of physical simulation is to solve partial differential equations (PDEs) on discretized domains, which is known to be costly. In particular, high-fidelity solutions are much more expensive than low-fidelity ones. To reduce the cost, we consider novel Gaussian process (GP) models that leverage simulation examples of different fidelities to predict high-dimensional PDE solution outputs. Existing GP methods are either not scalable to high-dimensional outputs or lack effective strategies to integrate multi-fidelity examples. To address these issues, we propose Multi-Fidelity High-Orde","authors_text":"Robert Kirby, Shandian Zhe, Wei Xing, Zheng Wang","cross_cats":["cs.LG","physics.comp-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2020-06-08T22:31:59Z","title":"Multi-Fidelity High-Order Gaussian Processes for Physical Simulation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2006.04972","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":"sha256:0e06d5cf270f9ee9b19f299df46b04e9a2ab796c3be2320d9198fb807aa44a78","target":"record","created_at":"2026-07-05T01:09:09Z","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":"5207c743d72a8b01edfee610f6250ae5eabd9352f33214bfdfdb9c10aaaa8a9c","cross_cats_sorted":["cs.LG","physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2020-06-08T22:31:59Z","title_canon_sha256":"1409ad2fcae608d146420d767dc5f044efe72fe201974f0ea7185773ee3d8ff9"},"schema_version":"1.0","source":{"id":"2006.04972","kind":"arxiv","version":1}},"canonical_sha256":"48084e88c9ea3f9547b1d48e622e367810343e268c70a17424486105d91018cc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"48084e88c9ea3f9547b1d48e622e367810343e268c70a17424486105d91018cc","first_computed_at":"2026-07-05T01:09:09.373035Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:09:09.373035Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1IWAQ7hVcw0cV6d87h4GNS+iaH7fxldi5teyI2YtdKDG+O2MmBJ43Z3EZ+qqg6s5Q62paMW0pFWPPSIcZPomAw==","signature_status":"signed_v1","signed_at":"2026-07-05T01:09:09.373806Z","signed_message":"canonical_sha256_bytes"},"source_id":"2006.04972","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0e06d5cf270f9ee9b19f299df46b04e9a2ab796c3be2320d9198fb807aa44a78","sha256:f9daadb0f24c9a57a5202519eda23f27820e8eaafb13a6d201a1cb2a15af4332"],"state_sha256":"ab67f34a202aa15fd6d65ea3676995e12e962c654eee4d71c7bff14cbbbe41e8"}