{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:OYKDC526E4ADG66WTNPVBCOTU5","short_pith_number":"pith:OYKDC526","schema_version":"1.0","canonical_sha256":"761431775e2700337bd69b5f5089d3a7411f1d133ef26842a35ce76c1489c736","source":{"kind":"arxiv","id":"0912.4489","version":5},"attestation_state":"computed","paper":{"title":"Spatial adaptation in heteroscedastic regression: Propagation approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Nora Serdyukova","submitted_at":"2009-12-22T18:58:40Z","abstract_excerpt":"The paper concerns the problem of pointwise adaptive estimation in regression when the noise is heteroscedastic and incorrectly known. The use of the local approximation method, which includes the local polynomial smoothing as a particular case, leads to a finite family of estimators corresponding to different degrees of smoothing. Data-driven choice of localization degree in this case can be understood as the problem of selection from this family. This task can be performed by a suggested in Katkovnik and Spokoiny (2008) FLL technique based on Lepski's method. An important issue with this typ"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"0912.4489","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2009-12-22T18:58:40Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"ec432985d5feec2e9ccef2701195378db372a050808bed0d96d043e9087bebe2","abstract_canon_sha256":"f4c1431691151d66ceaeda033e89ec43a5a2cdab5ce44a9e2e93b9d1185edc30"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:48:48.338705Z","signature_b64":"KMct72WJZqUIoyXn4tFkkF5IcEYe12X5YPR7H9HkGQMjTSqYu8+MOzb9+bsRjTUiAPpj2Z3Fwp3vPLz1dTxhBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"761431775e2700337bd69b5f5089d3a7411f1d133ef26842a35ce76c1489c736","last_reissued_at":"2026-05-18T03:48:48.338108Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:48:48.338108Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Spatial adaptation in heteroscedastic regression: Propagation approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Nora Serdyukova","submitted_at":"2009-12-22T18:58:40Z","abstract_excerpt":"The paper concerns the problem of pointwise adaptive estimation in regression when the noise is heteroscedastic and incorrectly known. The use of the local approximation method, which includes the local polynomial smoothing as a particular case, leads to a finite family of estimators corresponding to different degrees of smoothing. Data-driven choice of localization degree in this case can be understood as the problem of selection from this family. This task can be performed by a suggested in Katkovnik and Spokoiny (2008) FLL technique based on Lepski's method. An important issue with this typ"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0912.4489","kind":"arxiv","version":5},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"0912.4489","created_at":"2026-05-18T03:48:48.338213+00:00"},{"alias_kind":"arxiv_version","alias_value":"0912.4489v5","created_at":"2026-05-18T03:48:48.338213+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0912.4489","created_at":"2026-05-18T03:48:48.338213+00:00"},{"alias_kind":"pith_short_12","alias_value":"OYKDC526E4AD","created_at":"2026-05-18T12:26:01.383474+00:00"},{"alias_kind":"pith_short_16","alias_value":"OYKDC526E4ADG66W","created_at":"2026-05-18T12:26:01.383474+00:00"},{"alias_kind":"pith_short_8","alias_value":"OYKDC526","created_at":"2026-05-18T12:26:01.383474+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/OYKDC526E4ADG66WTNPVBCOTU5","json":"https://pith.science/pith/OYKDC526E4ADG66WTNPVBCOTU5.json","graph_json":"https://pith.science/api/pith-number/OYKDC526E4ADG66WTNPVBCOTU5/graph.json","events_json":"https://pith.science/api/pith-number/OYKDC526E4ADG66WTNPVBCOTU5/events.json","paper":"https://pith.science/paper/OYKDC526"},"agent_actions":{"view_html":"https://pith.science/pith/OYKDC526E4ADG66WTNPVBCOTU5","download_json":"https://pith.science/pith/OYKDC526E4ADG66WTNPVBCOTU5.json","view_paper":"https://pith.science/paper/OYKDC526","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0912.4489&json=true","fetch_graph":"https://pith.science/api/pith-number/OYKDC526E4ADG66WTNPVBCOTU5/graph.json","fetch_events":"https://pith.science/api/pith-number/OYKDC526E4ADG66WTNPVBCOTU5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OYKDC526E4ADG66WTNPVBCOTU5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OYKDC526E4ADG66WTNPVBCOTU5/action/storage_attestation","attest_author":"https://pith.science/pith/OYKDC526E4ADG66WTNPVBCOTU5/action/author_attestation","sign_citation":"https://pith.science/pith/OYKDC526E4ADG66WTNPVBCOTU5/action/citation_signature","submit_replication":"https://pith.science/pith/OYKDC526E4ADG66WTNPVBCOTU5/action/replication_record"}},"created_at":"2026-05-18T03:48:48.338213+00:00","updated_at":"2026-05-18T03:48:48.338213+00:00"}