{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:SWZTLKWWJEPMGZPB5FRQLUITLW","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":"b61137a066ca5f117d6f7e0583267235e36a31ce4c6718c0306f08cd7bdace4d","cross_cats_sorted":["stat.ML","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2015-02-24T19:27:06Z","title_canon_sha256":"f6d9d1248d21349ec64b2f2be5c50709f5d2c2512c50ce9072458a53169bc609"},"schema_version":"1.0","source":{"id":"1502.06919","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.06919","created_at":"2026-05-18T02:18:23Z"},{"alias_kind":"arxiv_version","alias_value":"1502.06919v2","created_at":"2026-05-18T02:18:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.06919","created_at":"2026-05-18T02:18:23Z"},{"alias_kind":"pith_short_12","alias_value":"SWZTLKWWJEPM","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_16","alias_value":"SWZTLKWWJEPMGZPB","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_8","alias_value":"SWZTLKWW","created_at":"2026-05-18T12:29:42Z"}],"graph_snapshots":[{"event_id":"sha256:a401a034d3518b6dd6dff871fd76749afd77c274c30b72d205ce74653718d837","target":"graph","created_at":"2026-05-18T02:18:23Z","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":"The matrix completion problem consists in reconstructing a matrix from a sample of entries, possibly observed with noise. A popular class of estimator, known as nuclear norm penalized estimators, are based on minimizing the sum of a data fitting term and a nuclear norm penalization. Here, we investigate the case where the noise distribution belongs to the exponential family and is sub-exponential. Our framework alllows for a general sampling scheme. We first consider an estimator defined as the minimizer of the sum of a log-likelihood term and a nuclear norm penalization and prove an upper bou","authors_text":"Jean Lafond (LTCI)","cross_cats":["stat.ML","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2015-02-24T19:27:06Z","title":"Low Rank Matrix Completion with Exponential Family Noise"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.06919","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":"sha256:414730286627f6b3b5a393d538e8d672e87997fa06d14b64731bb5b375d15562","target":"record","created_at":"2026-05-18T02:18:23Z","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":"b61137a066ca5f117d6f7e0583267235e36a31ce4c6718c0306f08cd7bdace4d","cross_cats_sorted":["stat.ML","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2015-02-24T19:27:06Z","title_canon_sha256":"f6d9d1248d21349ec64b2f2be5c50709f5d2c2512c50ce9072458a53169bc609"},"schema_version":"1.0","source":{"id":"1502.06919","kind":"arxiv","version":2}},"canonical_sha256":"95b335aad6491ec365e1e96305d1135db5bc5f12dc38ca52b260c30cd7ea7762","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"95b335aad6491ec365e1e96305d1135db5bc5f12dc38ca52b260c30cd7ea7762","first_computed_at":"2026-05-18T02:18:23.310997Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:18:23.310997Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5xKDP1QNxRlcWJcOuI/CftCEzdJG/gnklJGZbl6NxWqML38+IcTsNg8FD1vfEhTd3CH8cvV3ZXvCRN944MA6Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T02:18:23.311678Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.06919","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:414730286627f6b3b5a393d538e8d672e87997fa06d14b64731bb5b375d15562","sha256:a401a034d3518b6dd6dff871fd76749afd77c274c30b72d205ce74653718d837"],"state_sha256":"656adb3265bcc378d94dd9b11ed846da2ada7bf9883819016140fba6266692cd"}