{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:UV3WYG6TT66NFMASTFQVCAVCQ5","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":"079c9836390925734f9b7d785568749aecc4b1a9fe6cf89c94a0d0be3758d09e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2014-07-07T17:47:54Z","title_canon_sha256":"fea92bd56b9b67f838ad95a1203eb1d63f17cbc9c467b97d2e8e51b6505e148e"},"schema_version":"1.0","source":{"id":"1407.1785","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.1785","created_at":"2026-05-18T02:39:00Z"},{"alias_kind":"arxiv_version","alias_value":"1407.1785v2","created_at":"2026-05-18T02:39:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.1785","created_at":"2026-05-18T02:39:00Z"},{"alias_kind":"pith_short_12","alias_value":"UV3WYG6TT66N","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_16","alias_value":"UV3WYG6TT66NFMAS","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_8","alias_value":"UV3WYG6T","created_at":"2026-05-18T12:28:52Z"}],"graph_snapshots":[{"event_id":"sha256:f0e38ca94e91bcce5e79f839abab1686b1899033377c1d0e7101725d975b3fe4","target":"graph","created_at":"2026-05-18T02:39:00Z","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":"In this paper we propose novel methods for completion (from limited samples) and de-noising of multilinear (tensor) data and as an application consider 3-D and 4- D (color) video data completion and de-noising. We exploit the recently proposed tensor-Singular Value Decomposition (t-SVD)[11]. Based on t-SVD, the notion of multilinear rank and a related tensor nuclear norm was proposed in [11] to characterize informational and structural complexity of multilinear data. We first show that videos with linear camera motion can be represented more efficiently using t-SVD compared to the approaches b","authors_text":"Gregory Ely, Misha Kilmer, Ning Hao, Shuchin Aeron, Zemin Zhang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2014-07-07T17:47:54Z","title":"Novel methods for multilinear data completion and de-noising based on tensor-SVD"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.1785","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:db5eef0da61491ecfd65209e694aa00a4955d439d0082d9c974f03b39ae3a51c","target":"record","created_at":"2026-05-18T02:39:00Z","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":"079c9836390925734f9b7d785568749aecc4b1a9fe6cf89c94a0d0be3758d09e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2014-07-07T17:47:54Z","title_canon_sha256":"fea92bd56b9b67f838ad95a1203eb1d63f17cbc9c467b97d2e8e51b6505e148e"},"schema_version":"1.0","source":{"id":"1407.1785","kind":"arxiv","version":2}},"canonical_sha256":"a5776c1bd39fbcd2b01299615102a2874fa2801546cc78f8eb4ad6b147d86984","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a5776c1bd39fbcd2b01299615102a2874fa2801546cc78f8eb4ad6b147d86984","first_computed_at":"2026-05-18T02:39:00.785037Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:39:00.785037Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ag1r6BpJ5FKnlJQMIYrakbQwnueW7ELIasJfT9cFTi0cpyh12SuiqXF8+25goMkm7WTMH1rJonVHdguT4Gl0BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:39:00.785584Z","signed_message":"canonical_sha256_bytes"},"source_id":"1407.1785","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:db5eef0da61491ecfd65209e694aa00a4955d439d0082d9c974f03b39ae3a51c","sha256:f0e38ca94e91bcce5e79f839abab1686b1899033377c1d0e7101725d975b3fe4"],"state_sha256":"47148b6fbd16c48006665fdf19ba54c1d3b5105ab23484fc7ffe6f033dcb6a8b"}