{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:HVS3W2MGAE75ZTU5K5XBE463DV","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":"ed173593780b300586dd5285e17d420c83aaa3edb35da4b2087e584014a83111","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2016-07-19T19:55:43Z","title_canon_sha256":"37062ebc926189401119a62e70780133c187f48e23ab3af135da7d3ac4a6ebb8"},"schema_version":"1.0","source":{"id":"1607.05712","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.05712","created_at":"2026-05-18T00:43:13Z"},{"alias_kind":"arxiv_version","alias_value":"1607.05712v2","created_at":"2026-05-18T00:43:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.05712","created_at":"2026-05-18T00:43:13Z"},{"alias_kind":"pith_short_12","alias_value":"HVS3W2MGAE75","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_16","alias_value":"HVS3W2MGAE75ZTU5","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_8","alias_value":"HVS3W2MG","created_at":"2026-05-18T12:30:22Z"}],"graph_snapshots":[{"event_id":"sha256:f1a1dde4b3ea7ed4c49acb6727abd86d78cb1b329a1dbe2a98487fb5b3fd8ae4","target":"graph","created_at":"2026-05-18T00:43:13Z","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 problem of recovering a signal observed in Gaussian noise. If the set of signals is convex and compact, and can be specified beforehand, one can use classical linear estimators that achieve a risk within a constant factor of the minimax risk. However, when the set is unspecified, designing an estimator that is blind to the hidden structure of the signal remains a challenging problem. We propose a new family of estimators to recover signals observed in Gaussian noise. Instead of specifying the set where the signal lives, we assume the existence of a well-performing linear estima","authors_text":"Anatoli Juditsky, Arkadi Nemirovski, Dmitry Ostrovsky, Zaid Harchaoui","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2016-07-19T19:55:43Z","title":"Structure-Blind Signal Recovery"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.05712","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:ff13ca85aeb4cffc5d98995ac0f93457c008d5b3ff32a0b51f8e501de9c8bf52","target":"record","created_at":"2026-05-18T00:43:13Z","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":"ed173593780b300586dd5285e17d420c83aaa3edb35da4b2087e584014a83111","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2016-07-19T19:55:43Z","title_canon_sha256":"37062ebc926189401119a62e70780133c187f48e23ab3af135da7d3ac4a6ebb8"},"schema_version":"1.0","source":{"id":"1607.05712","kind":"arxiv","version":2}},"canonical_sha256":"3d65bb6986013fdcce9d576e1273db1d64693aeb9c2c98b7d4b4c6116b244e56","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3d65bb6986013fdcce9d576e1273db1d64693aeb9c2c98b7d4b4c6116b244e56","first_computed_at":"2026-05-18T00:43:13.990709Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:43:13.990709Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"okYWPIfxE2Wv+ppKOfRMevqJxo+GNd0c1FrsyyXqDUcfrv0w1ivS419/wzNe/ar4QPWW7OqcxyOFHFU32OOTAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:43:13.991285Z","signed_message":"canonical_sha256_bytes"},"source_id":"1607.05712","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ff13ca85aeb4cffc5d98995ac0f93457c008d5b3ff32a0b51f8e501de9c8bf52","sha256:f1a1dde4b3ea7ed4c49acb6727abd86d78cb1b329a1dbe2a98487fb5b3fd8ae4"],"state_sha256":"1333d585f6fd6c09e7fe4ca971302f9c4c42d3a84d1177766a24a309c0b9c3b8"}