{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:SEHKPXSAV3GQT3ULP2QMEKYU3A","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":"2dec4b94eb5110b948718c104e7a3da95cc788f014221383ad0b327080b03a69","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2013-01-12T07:46:56Z","title_canon_sha256":"d5be70e36d7de715a762b8eb796f198d207bfdb54902fdaf97f5d4a47200b2c1"},"schema_version":"1.0","source":{"id":"1301.2656","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.2656","created_at":"2026-05-18T03:36:26Z"},{"alias_kind":"arxiv_version","alias_value":"1301.2656v1","created_at":"2026-05-18T03:36:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.2656","created_at":"2026-05-18T03:36:26Z"},{"alias_kind":"pith_short_12","alias_value":"SEHKPXSAV3GQ","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_16","alias_value":"SEHKPXSAV3GQT3UL","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_8","alias_value":"SEHKPXSA","created_at":"2026-05-18T12:27:59Z"}],"graph_snapshots":[{"event_id":"sha256:a25f30cf53f4625ef370c496faff7f6e6659c24e6e97ebe9c94fdd2eadde8562","target":"graph","created_at":"2026-05-18T03:36:26Z","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":"In this paper we present a nonparametric method for extending functional regression methodology to the situation where more than one functional covariate is used to predict a functional response. Borrowing the idea from Kadri et al. (2010a), the method, which support mixed discrete and continuous explanatory variables, is based on estimating a function-valued function in reproducing kernel Hilbert spaces by virtue of positive operator-valued kernels.","authors_text":"Emmanuel Duflos (INRIA Lille - Nord Europe, Hachem Kadri (INRIA Lille - Nord Europe), LAGIS), LIFL), Philippe Preux (INRIA Lille - Nord Europe, St\\'ephane Canu (LITIS)","cross_cats":["cs.LG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2013-01-12T07:46:56Z","title":"Multiple functional regression with both discrete and continuous covariates"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.2656","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":"sha256:5ac02a090d017c2dba4639f2fb0c4134971da5d0fad4604e9b272399fd4c35d8","target":"record","created_at":"2026-05-18T03:36:26Z","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":"2dec4b94eb5110b948718c104e7a3da95cc788f014221383ad0b327080b03a69","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2013-01-12T07:46:56Z","title_canon_sha256":"d5be70e36d7de715a762b8eb796f198d207bfdb54902fdaf97f5d4a47200b2c1"},"schema_version":"1.0","source":{"id":"1301.2656","kind":"arxiv","version":1}},"canonical_sha256":"910ea7de40aecd09ee8b7ea0c22b14d83d7ca62ce5b26836f99e981fa04a6c9a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"910ea7de40aecd09ee8b7ea0c22b14d83d7ca62ce5b26836f99e981fa04a6c9a","first_computed_at":"2026-05-18T03:36:26.445161Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:36:26.445161Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"atnvusoGCbdMuwWM988im6ewAs56mTYgaaowtw9O0576PWOQ3Z50ajWfMQ+GOqnca0cWwch0ekQmJs4IeKJECg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:36:26.445636Z","signed_message":"canonical_sha256_bytes"},"source_id":"1301.2656","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5ac02a090d017c2dba4639f2fb0c4134971da5d0fad4604e9b272399fd4c35d8","sha256:a25f30cf53f4625ef370c496faff7f6e6659c24e6e97ebe9c94fdd2eadde8562"],"state_sha256":"273466bbb6a2d6975f0fac59804d0a52c0decadeaffc3fef16b509a778316b56"}