{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:AB5X6LJHWXCR2QOHZ2MVCSIPPR","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":"36b099088e42391a27d7b4877f4a47c27499c3213d1fcdee7e3de096564c4988","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2017-04-07T21:51:45Z","title_canon_sha256":"09e193afa6dba28124267b53311d604bf5a5f10a11ad907837428079c8f1141c"},"schema_version":"1.0","source":{"id":"1704.02381","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.02381","created_at":"2026-05-18T00:02:13Z"},{"alias_kind":"arxiv_version","alias_value":"1704.02381v3","created_at":"2026-05-18T00:02:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.02381","created_at":"2026-05-18T00:02:13Z"},{"alias_kind":"pith_short_12","alias_value":"AB5X6LJHWXCR","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_16","alias_value":"AB5X6LJHWXCR2QOH","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_8","alias_value":"AB5X6LJH","created_at":"2026-05-18T12:31:05Z"}],"graph_snapshots":[{"event_id":"sha256:bcf7d331edd8e531ef2e5baaa82fcb32990d76fd564cbaa75d527feeb24ef7dc","target":"graph","created_at":"2026-05-18T00:02:13Z","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":"We consider the multivariate response regression problem with a regression coefficient matrix of low, unknown rank. In this setting, we analyze a new criterion for selecting the optimal reduced rank. This criterion differs notably from the one proposed in Bunea, She and Wegkamp [7] in that it does not require estimation of the unknown variance of the noise, nor depends on a delicate choice of a tuning parameter. We develop an iterative, fully data-driven procedure, that adapts to the optimal signal to noise ratio. This procedure finds the true rank in a few steps with overwhelming probability.","authors_text":"Marten Wegkamp, Xin Bing","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2017-04-07T21:51:45Z","title":"Adaptive estimation of the rank of the coefficient matrix in high dimensional multivariate response regression models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.02381","kind":"arxiv","version":3},"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":"sha256:5bf147168ac625d1ee6d9983f0d1114f5b4fb8bb838c40dcc8d7ac8c243a4dee","target":"record","created_at":"2026-05-18T00:02:13Z","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":"36b099088e42391a27d7b4877f4a47c27499c3213d1fcdee7e3de096564c4988","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2017-04-07T21:51:45Z","title_canon_sha256":"09e193afa6dba28124267b53311d604bf5a5f10a11ad907837428079c8f1141c"},"schema_version":"1.0","source":{"id":"1704.02381","kind":"arxiv","version":3}},"canonical_sha256":"007b7f2d27b5c51d41c7ce9951490f7c576297ceab09c113fdbaf3f09ee7b8dc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"007b7f2d27b5c51d41c7ce9951490f7c576297ceab09c113fdbaf3f09ee7b8dc","first_computed_at":"2026-05-18T00:02:13.575482Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:02:13.575482Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VdJovElybQwDwvpP2zybxhvq26qoBG8sdcGWmJt2OBVJqqgydZflEu/mcKU6iV3wxKDzij7SS3C5p8zIDO9FDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:02:13.576131Z","signed_message":"canonical_sha256_bytes"},"source_id":"1704.02381","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5bf147168ac625d1ee6d9983f0d1114f5b4fb8bb838c40dcc8d7ac8c243a4dee","sha256:bcf7d331edd8e531ef2e5baaa82fcb32990d76fd564cbaa75d527feeb24ef7dc"],"state_sha256":"c97e286fe04ee577497a38f406e15ca282100490c3dc54eaf02bdb95e0b69807"}