{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:T7DRG3WSPH23BMQH66JSJJ5HVE","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":"974226e36ece7dbaa465d7024264c6d3c82e067e68227f63695259afbe3e176a","cross_cats_sorted":["cs.LG","math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2017-04-25T12:55:20Z","title_canon_sha256":"d4991be5dac796b7d578777cc205ff92ce53ea36e02ac140a76b3434e250fda5"},"schema_version":"1.0","source":{"id":"1704.07669","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.07669","created_at":"2026-05-18T00:45:37Z"},{"alias_kind":"arxiv_version","alias_value":"1704.07669v1","created_at":"2026-05-18T00:45:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.07669","created_at":"2026-05-18T00:45:37Z"},{"alias_kind":"pith_short_12","alias_value":"T7DRG3WSPH23","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_16","alias_value":"T7DRG3WSPH23BMQH","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_8","alias_value":"T7DRG3WS","created_at":"2026-05-18T12:31:43Z"}],"graph_snapshots":[{"event_id":"sha256:d4c1399b4922b128b000bdbecea0024126511c268de1f742fd2fd9f197262db7","target":"graph","created_at":"2026-05-18T00:45:37Z","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":"Principal component analysis (PCA) is a fundamental dimension reduction tool in statistics and machine learning. For large and high-dimensional data, computing the PCA (i.e., the singular vectors corresponding to a number of dominant singular values of the data matrix) becomes a challenging task. In this work, a single-pass randomized algorithm is proposed to compute PCA with only one pass over the data. It is suitable for processing extremely large and high-dimensional data stored in slow memory (hard disk) or the data generated in a streaming fashion. Experiments with synthetic and real data","authors_text":"Jian Li, Shenghua Liu, Wenjian Yu, Yaohang Li, Yu Gu","cross_cats":["cs.LG","math.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2017-04-25T12:55:20Z","title":"Single-Pass PCA of Large High-Dimensional Data"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.07669","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:b356e29c46c72c0de00df024364fb1de4fb32f41c8b87806b731ce6a524e43a0","target":"record","created_at":"2026-05-18T00:45:37Z","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":"974226e36ece7dbaa465d7024264c6d3c82e067e68227f63695259afbe3e176a","cross_cats_sorted":["cs.LG","math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2017-04-25T12:55:20Z","title_canon_sha256":"d4991be5dac796b7d578777cc205ff92ce53ea36e02ac140a76b3434e250fda5"},"schema_version":"1.0","source":{"id":"1704.07669","kind":"arxiv","version":1}},"canonical_sha256":"9fc7136ed279f5b0b207f79324a7a7a939c5a920bba2853058ba4c2c841395bb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9fc7136ed279f5b0b207f79324a7a7a939c5a920bba2853058ba4c2c841395bb","first_computed_at":"2026-05-18T00:45:37.354874Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:45:37.354874Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wHLyT6xxTVl5ZNK/R8RWFXHnDzK6FVorVMq+mk/BwP5VlVm61+GEx8inhYlTMe4X+kKWY4zNHBgsHuKavK0GAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:45:37.355585Z","signed_message":"canonical_sha256_bytes"},"source_id":"1704.07669","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b356e29c46c72c0de00df024364fb1de4fb32f41c8b87806b731ce6a524e43a0","sha256:d4c1399b4922b128b000bdbecea0024126511c268de1f742fd2fd9f197262db7"],"state_sha256":"a3a5f5406a7037fd51175f46de9030546ba03aabb3a1621c7e0c4e54ab25ffd5"}