{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:2N6IOTMRMZNT73NTEIVWUX7CYM","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":"5796247fd6761909fedaf7e7f6a492e87e8075b456eb81243142c7f2ea292a05","cross_cats_sorted":["cs.LG","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NA","submitted_at":"2013-07-21T03:47:16Z","title_canon_sha256":"9620d1bc341247a2104e3a15162da8db9e105e2179c14bb18d64e24b9ff17ecc"},"schema_version":"1.0","source":{"id":"1307.5494","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.5494","created_at":"2026-05-18T03:17:55Z"},{"alias_kind":"arxiv_version","alias_value":"1307.5494v1","created_at":"2026-05-18T03:17:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.5494","created_at":"2026-05-18T03:17:55Z"},{"alias_kind":"pith_short_12","alias_value":"2N6IOTMRMZNT","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_16","alias_value":"2N6IOTMRMZNT73NT","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_8","alias_value":"2N6IOTMR","created_at":"2026-05-18T12:27:32Z"}],"graph_snapshots":[{"event_id":"sha256:29e9bd272b6a1167a4bbf6bf2963cd23577b154824bc411eb6855c948f1d43c0","target":"graph","created_at":"2026-05-18T03:17:55Z","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":"GROUSE (Grassmannian Rank-One Update Subspace Estimation) is an incremental algorithm for identifying a subspace of Rn from a sequence of vectors in this subspace, where only a subset of components of each vector is revealed at each iteration. Recent analysis has shown that GROUSE converges locally at an expected linear rate, under certain assumptions. GROUSE has a similar flavor to the incremental singular value decomposition algorithm, which updates the SVD of a matrix following addition of a single column. In this paper, we modify the incremental SVD approach to handle missing data, and dem","authors_text":"Laura Balzano, Stephen J. Wright","cross_cats":["cs.LG","stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NA","submitted_at":"2013-07-21T03:47:16Z","title":"On GROUSE and Incremental SVD"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.5494","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":"sha256:897718ed3d94c49ef67004fffc5952670624b8169adc7afda7600f3c5f7f7260","target":"record","created_at":"2026-05-18T03:17:55Z","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":"5796247fd6761909fedaf7e7f6a492e87e8075b456eb81243142c7f2ea292a05","cross_cats_sorted":["cs.LG","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NA","submitted_at":"2013-07-21T03:47:16Z","title_canon_sha256":"9620d1bc341247a2104e3a15162da8db9e105e2179c14bb18d64e24b9ff17ecc"},"schema_version":"1.0","source":{"id":"1307.5494","kind":"arxiv","version":1}},"canonical_sha256":"d37c874d91665b3fedb3222b6a5fe2c3246fff2758e942144e6e3f6fbf97f7fc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d37c874d91665b3fedb3222b6a5fe2c3246fff2758e942144e6e3f6fbf97f7fc","first_computed_at":"2026-05-18T03:17:55.532401Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:17:55.532401Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+GcR58xSDqCTbutldX0LFVMU8nOyg33KdOMpWyAEFABGL3YcqoEIICDhCN2PL4R+bLiswgB0uKiQ4edQd9rDAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:17:55.533241Z","signed_message":"canonical_sha256_bytes"},"source_id":"1307.5494","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:897718ed3d94c49ef67004fffc5952670624b8169adc7afda7600f3c5f7f7260","sha256:29e9bd272b6a1167a4bbf6bf2963cd23577b154824bc411eb6855c948f1d43c0"],"state_sha256":"3666710878db022e961f1c91858f9d66fbf1c0871c41ba6da1a9bb84f471c145"}