{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:OEMXZU6PCRB5QPJTN3DNEO3EJ7","short_pith_number":"pith:OEMXZU6P","schema_version":"1.0","canonical_sha256":"71197cd3cf1443d83d336ec6d23b644ff533eebf343de334881c5660fa4f4623","source":{"kind":"arxiv","id":"1206.1194","version":2},"attestation_state":"computed","paper":{"title":"Minimax adaptive tests for the Functional Linear model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.ME","stat.TH"],"primary_cat":"math.ST","authors_text":"Andr\\'e Mas (I3M), Nadine Hilgert (MISTEA), Nicolas Verzelen (MISTEA)","submitted_at":"2012-06-06T12:05:30Z","abstract_excerpt":"We introduce two novel procedures to test the nullity of the slope function in the functional linear model with real output. The test statistics combine multiple testing ideas and random projections of the input data through functional Principal Component Analysis. Interestingly, the procedures are completely data-driven and do not require any prior knowledge on the smoothness of the slope nor on the smoothness of the covariate functions. The levels and powers against local alternatives are assessed in a nonasymptotic setting. This allows us to prove that these procedures are minimax adaptive "},"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":"1206.1194","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2012-06-06T12:05:30Z","cross_cats_sorted":["stat.ME","stat.TH"],"title_canon_sha256":"33ce999973ae0525e6d3d744e8c0656b7b3352d4eb55ce92ca4052e3c5d22b85","abstract_canon_sha256":"a49b877571aa5411d3a061813b0acbcf8d6a37630dce7415e2b610235d7e1500"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:34:03.187407Z","signature_b64":"Ux1GIAk9dwdVMMTlK3plXF2+h3iI2UGgu9N0yc9Z7CVDGeHATZL9CaJ3eUFVAcQRqLNpGDfR49CdaPWbZZFsDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"71197cd3cf1443d83d336ec6d23b644ff533eebf343de334881c5660fa4f4623","last_reissued_at":"2026-05-18T03:34:03.186756Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:34:03.186756Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Minimax adaptive tests for the Functional Linear model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.ME","stat.TH"],"primary_cat":"math.ST","authors_text":"Andr\\'e Mas (I3M), Nadine Hilgert (MISTEA), Nicolas Verzelen (MISTEA)","submitted_at":"2012-06-06T12:05:30Z","abstract_excerpt":"We introduce two novel procedures to test the nullity of the slope function in the functional linear model with real output. The test statistics combine multiple testing ideas and random projections of the input data through functional Principal Component Analysis. Interestingly, the procedures are completely data-driven and do not require any prior knowledge on the smoothness of the slope nor on the smoothness of the covariate functions. The levels and powers against local alternatives are assessed in a nonasymptotic setting. This allows us to prove that these procedures are minimax adaptive "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.1194","kind":"arxiv","version":2},"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":"1206.1194","created_at":"2026-05-18T03:34:03.186851+00:00"},{"alias_kind":"arxiv_version","alias_value":"1206.1194v2","created_at":"2026-05-18T03:34:03.186851+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.1194","created_at":"2026-05-18T03:34:03.186851+00:00"},{"alias_kind":"pith_short_12","alias_value":"OEMXZU6PCRB5","created_at":"2026-05-18T12:27:16.716162+00:00"},{"alias_kind":"pith_short_16","alias_value":"OEMXZU6PCRB5QPJT","created_at":"2026-05-18T12:27:16.716162+00:00"},{"alias_kind":"pith_short_8","alias_value":"OEMXZU6P","created_at":"2026-05-18T12:27:16.716162+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/OEMXZU6PCRB5QPJTN3DNEO3EJ7","json":"https://pith.science/pith/OEMXZU6PCRB5QPJTN3DNEO3EJ7.json","graph_json":"https://pith.science/api/pith-number/OEMXZU6PCRB5QPJTN3DNEO3EJ7/graph.json","events_json":"https://pith.science/api/pith-number/OEMXZU6PCRB5QPJTN3DNEO3EJ7/events.json","paper":"https://pith.science/paper/OEMXZU6P"},"agent_actions":{"view_html":"https://pith.science/pith/OEMXZU6PCRB5QPJTN3DNEO3EJ7","download_json":"https://pith.science/pith/OEMXZU6PCRB5QPJTN3DNEO3EJ7.json","view_paper":"https://pith.science/paper/OEMXZU6P","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1206.1194&json=true","fetch_graph":"https://pith.science/api/pith-number/OEMXZU6PCRB5QPJTN3DNEO3EJ7/graph.json","fetch_events":"https://pith.science/api/pith-number/OEMXZU6PCRB5QPJTN3DNEO3EJ7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OEMXZU6PCRB5QPJTN3DNEO3EJ7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OEMXZU6PCRB5QPJTN3DNEO3EJ7/action/storage_attestation","attest_author":"https://pith.science/pith/OEMXZU6PCRB5QPJTN3DNEO3EJ7/action/author_attestation","sign_citation":"https://pith.science/pith/OEMXZU6PCRB5QPJTN3DNEO3EJ7/action/citation_signature","submit_replication":"https://pith.science/pith/OEMXZU6PCRB5QPJTN3DNEO3EJ7/action/replication_record"}},"created_at":"2026-05-18T03:34:03.186851+00:00","updated_at":"2026-05-18T03:34:03.186851+00:00"}