{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:HKZ2RDVWOIP4JGZMBUJ5F5BHNB","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":"2599245c5178e17161eba7154d210965d832c9579a1d6d5ad3a1f7763bc733c8","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2017-11-25T07:37:45Z","title_canon_sha256":"cb6ae636d51bdf2c649153bf8151bced45969a7cc2b39a6f8e51ca9484ec565e"},"schema_version":"1.0","source":{"id":"1711.09208","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.09208","created_at":"2026-05-18T00:29:40Z"},{"alias_kind":"arxiv_version","alias_value":"1711.09208v1","created_at":"2026-05-18T00:29:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.09208","created_at":"2026-05-18T00:29:40Z"},{"alias_kind":"pith_short_12","alias_value":"HKZ2RDVWOIP4","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_16","alias_value":"HKZ2RDVWOIP4JGZM","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_8","alias_value":"HKZ2RDVW","created_at":"2026-05-18T12:31:18Z"}],"graph_snapshots":[{"event_id":"sha256:af3410e1de2496dacc68582b4283e4052d0a72f6807ab14277b2b9ae8ccc33e1","target":"graph","created_at":"2026-05-18T00:29:40Z","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 problem of recovering the unknown noise variance in the linear regression model. To estimate the nuisance (a vector of regression coefficients) we use a family of spectral regularisers of the maximum likelihood estimator. The noise estimation is based on the adaptive normalisation of the squared error. We derive the upper bound for the concentration of the proposed method around the ideal estimator (the case of zero nuisance).","authors_text":"Ekaterina Krymova, Yuri Golubev","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2017-11-25T07:37:45Z","title":"On estimation of the noise variance in high-dimensional linear models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.09208","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":"sha256:970a16eaadead56079fcb2fe9a6317716f953c28b34fe86e5b11e20bd28f8b96","target":"record","created_at":"2026-05-18T00:29:40Z","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":"2599245c5178e17161eba7154d210965d832c9579a1d6d5ad3a1f7763bc733c8","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2017-11-25T07:37:45Z","title_canon_sha256":"cb6ae636d51bdf2c649153bf8151bced45969a7cc2b39a6f8e51ca9484ec565e"},"schema_version":"1.0","source":{"id":"1711.09208","kind":"arxiv","version":1}},"canonical_sha256":"3ab3a88eb6721fc49b2c0d13d2f4276857cf6d7b7ec9071c0dc2bf0774b547ff","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3ab3a88eb6721fc49b2c0d13d2f4276857cf6d7b7ec9071c0dc2bf0774b547ff","first_computed_at":"2026-05-18T00:29:40.221379Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:29:40.221379Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yDPZrLBs/BCD31od3MzxpdrBbosqLsw9mlZ8iNWRT1oJsew0CNGi9/fGKft17tXOrjtERzCQ3r5OtZ7YIJn5Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:29:40.222016Z","signed_message":"canonical_sha256_bytes"},"source_id":"1711.09208","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:970a16eaadead56079fcb2fe9a6317716f953c28b34fe86e5b11e20bd28f8b96","sha256:af3410e1de2496dacc68582b4283e4052d0a72f6807ab14277b2b9ae8ccc33e1"],"state_sha256":"aac2837faec2c799de6b51a9edbda0ce69617d1173be30f079554e27c2ce0ed2"}