{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:RSQEI7TWULIHV3Y7ECXEVL3YU7","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":"5e9699fbe950eb7c5ad93f9bfbac9953ab4e295a04c3c3b23d3da4835b276f9a","cross_cats_sorted":["math.PR","math.ST","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2017-02-03T22:07:37Z","title_canon_sha256":"eee472904e2f9e8a30e8405701c104a37606a841cd76400c629ba22a70c98ea7"},"schema_version":"1.0","source":{"id":"1702.01185","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.01185","created_at":"2026-05-18T00:13:32Z"},{"alias_kind":"arxiv_version","alias_value":"1702.01185v1","created_at":"2026-05-18T00:13:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.01185","created_at":"2026-05-18T00:13:32Z"},{"alias_kind":"pith_short_12","alias_value":"RSQEI7TWULIH","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_16","alias_value":"RSQEI7TWULIHV3Y7","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_8","alias_value":"RSQEI7TW","created_at":"2026-05-18T12:31:39Z"}],"graph_snapshots":[{"event_id":"sha256:ec7d5d3c4474aa0c320de03b8102de913435b20c5bd897e693c7f52072eb010e","target":"graph","created_at":"2026-05-18T00:13:32Z","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":"For a large class of orthogonal basis functions, there has been a recent identification of expansion methods for computing accurate, stable approximations of a quantity of interest. This paper presents, within the context of uncertainty quantification, a practical implementation using basis adaptation, and coherence motivated sampling, which under assumptions has satisfying guarantees. This implementation is referred to as Basis Adaptive Sample Efficient Polynomial Chaos (BASE-PC). A key component of this is the use of anisotropic polynomial order which admits evolving global bases for approxi","authors_text":"Alireza Doostan, Jerrad Hampton","cross_cats":["math.PR","math.ST","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2017-02-03T22:07:37Z","title":"Basis Adaptive Sample Efficient Polynomial Chaos (BASE-PC)"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.01185","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":"sha256:99a947156f366a24bd837f47c6941c1301908dc0f19386ae35b899a983d2e43d","target":"record","created_at":"2026-05-18T00:13:32Z","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":"5e9699fbe950eb7c5ad93f9bfbac9953ab4e295a04c3c3b23d3da4835b276f9a","cross_cats_sorted":["math.PR","math.ST","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2017-02-03T22:07:37Z","title_canon_sha256":"eee472904e2f9e8a30e8405701c104a37606a841cd76400c629ba22a70c98ea7"},"schema_version":"1.0","source":{"id":"1702.01185","kind":"arxiv","version":1}},"canonical_sha256":"8ca0447e76a2d07aef1f20ae4aaf78a7f4c45bea052ec607a228d68ee5433981","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8ca0447e76a2d07aef1f20ae4aaf78a7f4c45bea052ec607a228d68ee5433981","first_computed_at":"2026-05-18T00:13:32.855986Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:13:32.855986Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HCFLYzHrLytsXK/KMZmifaFUUQpVMowecMiGJ+qI2yaDw2ji1Mb6JD8nh9PwPSVS7B9DSxDyGCDezXT82QVyCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:13:32.856462Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.01185","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:99a947156f366a24bd837f47c6941c1301908dc0f19386ae35b899a983d2e43d","sha256:ec7d5d3c4474aa0c320de03b8102de913435b20c5bd897e693c7f52072eb010e"],"state_sha256":"e93e6fd928d2456a0a7526b49faeafb843de0d4fb58b03cbea38092b8e033f77"}