{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:5NU33DFVMUWWZINOGGXPUIVN2V","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":"d7dffdc1ece8e4b80746f5bd48ab70dcc7a9a4e6295bbd043f82a11345c654e7","cross_cats_sorted":["stat.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2016-11-17T21:21:52Z","title_canon_sha256":"f7d09f16a81431bd97b23f90247b7210e6efa7e568b74fd1cd84c3ca0cfe085a"},"schema_version":"1.0","source":{"id":"1611.05902","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.05902","created_at":"2026-05-17T23:56:10Z"},{"alias_kind":"arxiv_version","alias_value":"1611.05902v2","created_at":"2026-05-17T23:56:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.05902","created_at":"2026-05-17T23:56:10Z"},{"alias_kind":"pith_short_12","alias_value":"5NU33DFVMUWW","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_16","alias_value":"5NU33DFVMUWWZINO","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_8","alias_value":"5NU33DFV","created_at":"2026-05-18T12:30:01Z"}],"graph_snapshots":[{"event_id":"sha256:fde5495456811c07640d03380f9915e155f125ab2eccf1e4f74b571cb3bb550c","target":"graph","created_at":"2026-05-17T23:56:10Z","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 present a unified view of likelihood based Gaussian progress regression for simulation experiments exhibiting input-dependent noise. Replication plays an important role in that context, however previous methods leveraging replicates have either ignored the computational savings that come from such design, or have short-cut full likelihood-based inference to remain tractable. Starting with homoskedastic processes, we show how multiple applications of a well-known Woodbury identity facilitate inference for all parameters under the likelihood (without approximation), bypassing the typical full","authors_text":"Michael Ludkovski, Mickael Binois, Robert B. Gramacy","cross_cats":["stat.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2016-11-17T21:21:52Z","title":"Practical heteroskedastic Gaussian process modeling for large simulation experiments"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.05902","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":"sha256:0e27f4d4fa1ae8bde7cee782b3094ee78a5cb0af6107a7c1845e6bf80e7f83d2","target":"record","created_at":"2026-05-17T23:56:10Z","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":"d7dffdc1ece8e4b80746f5bd48ab70dcc7a9a4e6295bbd043f82a11345c654e7","cross_cats_sorted":["stat.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2016-11-17T21:21:52Z","title_canon_sha256":"f7d09f16a81431bd97b23f90247b7210e6efa7e568b74fd1cd84c3ca0cfe085a"},"schema_version":"1.0","source":{"id":"1611.05902","kind":"arxiv","version":2}},"canonical_sha256":"eb69bd8cb5652d6ca1ae31aefa22add57413ec28c12eb09df5e1732e4996e43c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"eb69bd8cb5652d6ca1ae31aefa22add57413ec28c12eb09df5e1732e4996e43c","first_computed_at":"2026-05-17T23:56:10.658086Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:56:10.658086Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7y1h/DBN6SlLhV4wny1Po1XruU6+MBmBK8tACz7QjbAOYYx127cmYJu9ET077aO4EqEMUNDSVyM93iIUPk8sAA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:56:10.658772Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.05902","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0e27f4d4fa1ae8bde7cee782b3094ee78a5cb0af6107a7c1845e6bf80e7f83d2","sha256:fde5495456811c07640d03380f9915e155f125ab2eccf1e4f74b571cb3bb550c"],"state_sha256":"2af2a2a34417f8175fc7e8375441076bc203fb3a1fb33a1e93cabeb125471640"}