{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:LUXVXCBKYEAIZMBCFBTGUXWG5F","short_pith_number":"pith:LUXVXCBK","schema_version":"1.0","canonical_sha256":"5d2f5b882ac1008cb02228666a5ec6e946db9944a4920025a8117d9542768494","source":{"kind":"arxiv","id":"1312.0154","version":1},"attestation_state":"computed","paper":{"title":"The Propagation-Separation Approach: Consequences of model misspecification","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Saskia Becker","submitted_at":"2013-11-30T21:27:06Z","abstract_excerpt":"The article presents new results on the Propagation-Separation Approach by Polzehl and Spokoiny [2006]. This iterative procedure provides a unified approach for nonparametric estimation, sup- posing a local parametric model. The adaptivity of the estimator ensures sensitivity to structural changes. Originally, an additional memory step was included into the algorithm, where most of the theoretical prop- erties were based on. However, in practice, a simplified version of the algorithm is used, where the mem- ory step is omitted. Hence, we aim to justify this simplified procedure by means of a t"},"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":"1312.0154","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2013-11-30T21:27:06Z","cross_cats_sorted":[],"title_canon_sha256":"edfe7e5a242840023650a89fe2f522dac612eef80dda2ad00ae0e08f3c37f9b0","abstract_canon_sha256":"7d5b7bd52f43acd9693c4f8127697ea94686043ba789d6f173adf002854aec2b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:05:46.591908Z","signature_b64":"kNMusFcgs4e+nXQNB5VkM5z59P/iOQn4rAZdyanRhnP+0EealjUWq+Hi2xaz4yh+wT/gsuCZ6kY216wbf2C/AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5d2f5b882ac1008cb02228666a5ec6e946db9944a4920025a8117d9542768494","last_reissued_at":"2026-05-18T03:05:46.591309Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:05:46.591309Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Propagation-Separation Approach: Consequences of model misspecification","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Saskia Becker","submitted_at":"2013-11-30T21:27:06Z","abstract_excerpt":"The article presents new results on the Propagation-Separation Approach by Polzehl and Spokoiny [2006]. This iterative procedure provides a unified approach for nonparametric estimation, sup- posing a local parametric model. The adaptivity of the estimator ensures sensitivity to structural changes. Originally, an additional memory step was included into the algorithm, where most of the theoretical prop- erties were based on. However, in practice, a simplified version of the algorithm is used, where the mem- ory step is omitted. Hence, we aim to justify this simplified procedure by means of a t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.0154","kind":"arxiv","version":1},"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":"1312.0154","created_at":"2026-05-18T03:05:46.591422+00:00"},{"alias_kind":"arxiv_version","alias_value":"1312.0154v1","created_at":"2026-05-18T03:05:46.591422+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.0154","created_at":"2026-05-18T03:05:46.591422+00:00"},{"alias_kind":"pith_short_12","alias_value":"LUXVXCBKYEAI","created_at":"2026-05-18T12:27:51.066281+00:00"},{"alias_kind":"pith_short_16","alias_value":"LUXVXCBKYEAIZMBC","created_at":"2026-05-18T12:27:51.066281+00:00"},{"alias_kind":"pith_short_8","alias_value":"LUXVXCBK","created_at":"2026-05-18T12:27:51.066281+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/LUXVXCBKYEAIZMBCFBTGUXWG5F","json":"https://pith.science/pith/LUXVXCBKYEAIZMBCFBTGUXWG5F.json","graph_json":"https://pith.science/api/pith-number/LUXVXCBKYEAIZMBCFBTGUXWG5F/graph.json","events_json":"https://pith.science/api/pith-number/LUXVXCBKYEAIZMBCFBTGUXWG5F/events.json","paper":"https://pith.science/paper/LUXVXCBK"},"agent_actions":{"view_html":"https://pith.science/pith/LUXVXCBKYEAIZMBCFBTGUXWG5F","download_json":"https://pith.science/pith/LUXVXCBKYEAIZMBCFBTGUXWG5F.json","view_paper":"https://pith.science/paper/LUXVXCBK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1312.0154&json=true","fetch_graph":"https://pith.science/api/pith-number/LUXVXCBKYEAIZMBCFBTGUXWG5F/graph.json","fetch_events":"https://pith.science/api/pith-number/LUXVXCBKYEAIZMBCFBTGUXWG5F/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LUXVXCBKYEAIZMBCFBTGUXWG5F/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LUXVXCBKYEAIZMBCFBTGUXWG5F/action/storage_attestation","attest_author":"https://pith.science/pith/LUXVXCBKYEAIZMBCFBTGUXWG5F/action/author_attestation","sign_citation":"https://pith.science/pith/LUXVXCBKYEAIZMBCFBTGUXWG5F/action/citation_signature","submit_replication":"https://pith.science/pith/LUXVXCBKYEAIZMBCFBTGUXWG5F/action/replication_record"}},"created_at":"2026-05-18T03:05:46.591422+00:00","updated_at":"2026-05-18T03:05:46.591422+00:00"}