{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:TPDIKSGDWFK4TTNJHQEFMENVHD","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":"861bb19f07d29e6555edee87e79eb9fcc78ef04305265ed697aa760003568f04","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-05-05T15:30:13Z","title_canon_sha256":"af102c470d3fb5733ab8dba0448d921175a9ad54daa621de008f3d61d69bc078"},"schema_version":"1.0","source":{"id":"1405.0928","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.0928","created_at":"2026-05-18T02:52:40Z"},{"alias_kind":"arxiv_version","alias_value":"1405.0928v1","created_at":"2026-05-18T02:52:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.0928","created_at":"2026-05-18T02:52:40Z"},{"alias_kind":"pith_short_12","alias_value":"TPDIKSGDWFK4","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"TPDIKSGDWFK4TTNJ","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"TPDIKSGD","created_at":"2026-05-18T12:28:49Z"}],"graph_snapshots":[{"event_id":"sha256:dee29bd0bcf54505be62c4daed4d96b39eff091adc5661a1dae89854cbe96c26","target":"graph","created_at":"2026-05-18T02:52:40Z","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":"The estimation of parameters in a linear model is considered under the hypothesis that the noise, with finite second order statistics, can be represented in a given deterministic basis by random coefficients. An extended underdetermined design matrix is then considered and an estimator of the extended parameters is proposed with minimum $l_1$ norm. It is proved that if the noise variance is larger than a threshold, which depends on the unknown parameters and on the extended design matrix, then the proposed estimator of the original parameters dominates the least-squares estimator in the sense ","authors_text":"Isabella Lari, Piero Barone","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-05-05T15:30:13Z","title":"On a Class of Parameters Estimators in Linear Models Dominating the Least Squares one, Based on Compressed Sensing Techniques"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.0928","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":"sha256:8c0363ef95590e6bb7219d9333df05b780118dd94bdcbfae979607958c68c1e9","target":"record","created_at":"2026-05-18T02:52:40Z","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":"861bb19f07d29e6555edee87e79eb9fcc78ef04305265ed697aa760003568f04","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-05-05T15:30:13Z","title_canon_sha256":"af102c470d3fb5733ab8dba0448d921175a9ad54daa621de008f3d61d69bc078"},"schema_version":"1.0","source":{"id":"1405.0928","kind":"arxiv","version":1}},"canonical_sha256":"9bc68548c3b155c9cda93c085611b538df3a1e343e26c697c331799f718e927a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9bc68548c3b155c9cda93c085611b538df3a1e343e26c697c331799f718e927a","first_computed_at":"2026-05-18T02:52:40.414630Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:52:40.414630Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ouF+aUChUaUgIrIXa4ONFCX8zzPGjazpJsZSAoAjnjfaKbvPLKIzlz4gWArOcCcLu7JpDnYXgUS2DWEKPWYQCA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:52:40.415033Z","signed_message":"canonical_sha256_bytes"},"source_id":"1405.0928","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8c0363ef95590e6bb7219d9333df05b780118dd94bdcbfae979607958c68c1e9","sha256:dee29bd0bcf54505be62c4daed4d96b39eff091adc5661a1dae89854cbe96c26"],"state_sha256":"141130a3d420c3aaf2b95bdc64d406f970458f16a6fe803d4d1c767ff98095bb"}