{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:KPFQTU7ZVHIFIHSEUDYW3636K7","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":"53b2c2109cf0cb3beae36ed597af602f2842b6add01b86bc5b1c9dd15370a0b6","cross_cats_sorted":["math.CA","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2018-02-07T16:07:34Z","title_canon_sha256":"e19a2eda1136e71315f506ddd9b93c49c2e631541fc97cb6343211fa9f6f9f36"},"schema_version":"1.0","source":{"id":"1802.04178","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.04178","created_at":"2026-05-18T00:23:46Z"},{"alias_kind":"arxiv_version","alias_value":"1802.04178v1","created_at":"2026-05-18T00:23:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.04178","created_at":"2026-05-18T00:23:46Z"},{"alias_kind":"pith_short_12","alias_value":"KPFQTU7ZVHIF","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_16","alias_value":"KPFQTU7ZVHIFIHSE","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_8","alias_value":"KPFQTU7Z","created_at":"2026-05-18T12:32:33Z"}],"graph_snapshots":[{"event_id":"sha256:081cc4d77d02b5235d09d68a8bdda8232be73e9cb5d8afb65413f5f269dda02c","target":"graph","created_at":"2026-05-18T00:23:46Z","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":"Scientists and engineers rely on accurate mathematical models to quantify the objects of their studies, which are often high-dimensional. Unfortunately, high-dimensional models are inherently difficult, i.e. when observations are sparse or expensive to determine. One way to address this problem is to approximate the original model with fewer input dimensions. Our project goal was to recover a function f that takes n inputs and returns one output, where n is potentially large. For any given n-tuple, we assume that we can observe a sample of the gradient and output of the function but it is comp","authors_text":"Chelsey Hoff, Chris Felder, Robert A. Bridges","cross_cats":["math.CA","stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2018-02-07T16:07:34Z","title":"Dimension Reduction Using Active Manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.04178","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":"sha256:45c3e6cb744cdbe555f074933ed9815498a7c59e5664f3ffc334982ce387481a","target":"record","created_at":"2026-05-18T00:23:46Z","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":"53b2c2109cf0cb3beae36ed597af602f2842b6add01b86bc5b1c9dd15370a0b6","cross_cats_sorted":["math.CA","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2018-02-07T16:07:34Z","title_canon_sha256":"e19a2eda1136e71315f506ddd9b93c49c2e631541fc97cb6343211fa9f6f9f36"},"schema_version":"1.0","source":{"id":"1802.04178","kind":"arxiv","version":1}},"canonical_sha256":"53cb09d3f9a9d0541e44a0f16dfb7e57c2907cc19bf41dc74250c19acaf6e34e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"53cb09d3f9a9d0541e44a0f16dfb7e57c2907cc19bf41dc74250c19acaf6e34e","first_computed_at":"2026-05-18T00:23:46.601020Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:23:46.601020Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7MRddwNrZ/xR7tde/lCxfcDBT4nkqO4AEO0WY8HFPLK+wkMELay/JYqIIzACxEP+g0lfoB7LHaVU9L2gnw8GCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:23:46.601485Z","signed_message":"canonical_sha256_bytes"},"source_id":"1802.04178","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:45c3e6cb744cdbe555f074933ed9815498a7c59e5664f3ffc334982ce387481a","sha256:081cc4d77d02b5235d09d68a8bdda8232be73e9cb5d8afb65413f5f269dda02c"],"state_sha256":"1cee8114ed61325799513fc8cacc54504c1d13cc1a563807829ac485c0431c08"}