{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:MBE5ZSRX2X4MLYRCIZNQSRGE2D","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":"22f6cb325bdba07f0eb609f8dc8dc694114e579f30c829a37ed39dd193b4d0da","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2018-04-26T06:51:20Z","title_canon_sha256":"69889d819259de0941151f7193bb31569027e1d1c478b467dd201e282f58f2c5"},"schema_version":"1.0","source":{"id":"1804.09912","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.09912","created_at":"2026-05-18T00:11:49Z"},{"alias_kind":"arxiv_version","alias_value":"1804.09912v1","created_at":"2026-05-18T00:11:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.09912","created_at":"2026-05-18T00:11:49Z"},{"alias_kind":"pith_short_12","alias_value":"MBE5ZSRX2X4M","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_16","alias_value":"MBE5ZSRX2X4MLYRC","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_8","alias_value":"MBE5ZSRX","created_at":"2026-05-18T12:32:37Z"}],"graph_snapshots":[{"event_id":"sha256:4d7f27f22d3e1a6746c8fafed76637957001dad4a8f5e4b080cadbd1ed20fd5e","target":"graph","created_at":"2026-05-18T00:11:49Z","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":"Robust estimators of large covariance matrices are considered, comprising regularized (linear shrinkage) modifications of Maronna's classical M-estimators. These estimators provide robustness to outliers, while simultaneously being well-defined when the number of samples does not exceed the number of variables. By applying tools from random matrix theory, we characterize the asymptotic performance of such estimators when the numbers of samples and variables grow large together. In particular, our results show that, when outliers are absent, many estimators of the regularized-Maronna type share","authors_text":"David Morales-Jimenez, Matthew R. McKay, Nicolas Auguin, Romain Couillet","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2018-04-26T06:51:20Z","title":"Large-dimensional behavior of regularized Maronna's M-estimators of covariance matrices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.09912","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:f23bbbbdeff1c0a454a7d06223839a4c757aa653a6c14e1df4af70a41ab1b54e","target":"record","created_at":"2026-05-18T00:11:49Z","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":"22f6cb325bdba07f0eb609f8dc8dc694114e579f30c829a37ed39dd193b4d0da","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2018-04-26T06:51:20Z","title_canon_sha256":"69889d819259de0941151f7193bb31569027e1d1c478b467dd201e282f58f2c5"},"schema_version":"1.0","source":{"id":"1804.09912","kind":"arxiv","version":1}},"canonical_sha256":"6049dcca37d5f8c5e222465b0944c4d0fe4a303d05bc0ae1ce681478f78efaae","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6049dcca37d5f8c5e222465b0944c4d0fe4a303d05bc0ae1ce681478f78efaae","first_computed_at":"2026-05-18T00:11:49.274303Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:11:49.274303Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"N/wgzPVdo5NcrFitf4I1kgdzDw7gXGCK0ShYEsDzJGP664Vnvs22YkF+t9M/vhpD9sZEEKSHMQ+vZKQlN5WpDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:11:49.274889Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.09912","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f23bbbbdeff1c0a454a7d06223839a4c757aa653a6c14e1df4af70a41ab1b54e","sha256:4d7f27f22d3e1a6746c8fafed76637957001dad4a8f5e4b080cadbd1ed20fd5e"],"state_sha256":"4891a4bdc39256d20fa3acbfca914c8de3271d4b17e9fc599a4357775882d57a"}