{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:Z3KILIZM3M5UAOJ6HNSJCJTE2A","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":"8afa541ccb05ec8c98e567644c89ed4f3a1db2a4c3456ec39840181d622b9d79","cross_cats_sorted":["math.ST","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2019-07-18T14:28:18Z","title_canon_sha256":"bc173cbdcc8a0a6bb86b7ae6a9b3aba34d08efe074aeec14258a8495d12b2fbf"},"schema_version":"1.0","source":{"id":"1907.08074","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1907.08074","created_at":"2026-05-17T23:40:15Z"},{"alias_kind":"arxiv_version","alias_value":"1907.08074v1","created_at":"2026-05-17T23:40:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.08074","created_at":"2026-05-17T23:40:15Z"},{"alias_kind":"pith_short_12","alias_value":"Z3KILIZM3M5U","created_at":"2026-05-18T12:33:33Z"},{"alias_kind":"pith_short_16","alias_value":"Z3KILIZM3M5UAOJ6","created_at":"2026-05-18T12:33:33Z"},{"alias_kind":"pith_short_8","alias_value":"Z3KILIZM","created_at":"2026-05-18T12:33:33Z"}],"graph_snapshots":[{"event_id":"sha256:cc6e9c28e210e84f02de7b3a998860691a2e0b616aa520316f7628b8a7448c8e","target":"graph","created_at":"2026-05-17T23:40:15Z","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":"Regressing a scalar response on a random function is nowadays a common situation. In the nonparametric setting, this paper paves the way for making the local linear regression based on a projection approach a prominent method for solving this regression problem. Our asymptotic results demonstrate that the functional local linear regression outperforms its functional local constant counterpart. Beyond the estimation of the regression operator itself, the local linear regression is also a useful tool for predicting the functional derivative of the regression operator, a promising mathematical ob","authors_text":"Fr\\'ed\\'eric Ferraty, Stanislav Nagy","cross_cats":["math.ST","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2019-07-18T14:28:18Z","title":"Scalar-on-function local linear regression and beyond"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.08074","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":"sha256:3380919c6999029c10c5b8a3c287a2d9a19dc0b8ba375cf74a4404092a4a2673","target":"record","created_at":"2026-05-17T23:40:15Z","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":"8afa541ccb05ec8c98e567644c89ed4f3a1db2a4c3456ec39840181d622b9d79","cross_cats_sorted":["math.ST","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2019-07-18T14:28:18Z","title_canon_sha256":"bc173cbdcc8a0a6bb86b7ae6a9b3aba34d08efe074aeec14258a8495d12b2fbf"},"schema_version":"1.0","source":{"id":"1907.08074","kind":"arxiv","version":1}},"canonical_sha256":"ced485a32cdb3b40393e3b64912664d00c7622a1603b7ef246a278dd0b1adbc5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ced485a32cdb3b40393e3b64912664d00c7622a1603b7ef246a278dd0b1adbc5","first_computed_at":"2026-05-17T23:40:15.176140Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:40:15.176140Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cMlh0b3innfDA1U+Bt3bcjlS7pXbsjXQXD/HHk7CpEkIpcnMmcAFea4jRaMQZNPeVNIHQEvhiSPPW7eVHoy3Bg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:40:15.176688Z","signed_message":"canonical_sha256_bytes"},"source_id":"1907.08074","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3380919c6999029c10c5b8a3c287a2d9a19dc0b8ba375cf74a4404092a4a2673","sha256:cc6e9c28e210e84f02de7b3a998860691a2e0b616aa520316f7628b8a7448c8e"],"state_sha256":"23e968ece81c8fe106c9212470b76cfbc1048c7d746c56d682eec88a79d13a1a"}