{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:QASCNFDPJD7GXGWQZWNFD4F3WL","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":"50be1a83016dd0e4bc7972cb9b090abd8067e9fbfe8d0de74600ca645fe0e4ed","cross_cats_sorted":["stat.ML"],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"stat.ME","submitted_at":"2018-08-20T18:18:52Z","title_canon_sha256":"75c7e550d28f1ec7a73797d64b344a03c7327a1fef3f6406246542d329b6525b"},"schema_version":"1.0","source":{"id":"1808.06638","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.06638","created_at":"2026-05-18T00:07:27Z"},{"alias_kind":"arxiv_version","alias_value":"1808.06638v3","created_at":"2026-05-18T00:07:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.06638","created_at":"2026-05-18T00:07:27Z"},{"alias_kind":"pith_short_12","alias_value":"QASCNFDPJD7G","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_16","alias_value":"QASCNFDPJD7GXGWQ","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_8","alias_value":"QASCNFDP","created_at":"2026-05-18T12:32:46Z"}],"graph_snapshots":[{"event_id":"sha256:b11da26ff0b55ccce950d0e983dc95775012b415ec363767bef840662f17d456","target":"graph","created_at":"2026-05-18T00:07:27Z","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 statistical learning, high covariate dimensionality poses challenges for robust prediction and inference. To address this challenge, supervised dimension reduction is often performed, where dependence on the outcome is maximized for a selected covariate subspace with smaller dimensionality. Prevalent dimension reduction techniques assume data are $i.i.d.$, which is not appropriate for longitudinal data comprising multiple subjects with repeated measurements over time. In this paper, we derive a decomposition of the Hilbert-Schmidt Independence Criterion as a supervised loss function for lon","authors_text":"Gregory A. Ryslik, Min Ouyang, Patrick Staples, Paul Dagum, Robert F. Dougherty","cross_cats":["stat.ML"],"headline":"","license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"stat.ME","submitted_at":"2018-08-20T18:18:52Z","title":"Supervised Kernel PCA For Longitudinal Data"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.06638","kind":"arxiv","version":3},"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":"sha256:9053ff2197fa787aaff7634b1f7821243800ebc60e177b8aa7bd1e144874a3cc","target":"record","created_at":"2026-05-18T00:07:27Z","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":"50be1a83016dd0e4bc7972cb9b090abd8067e9fbfe8d0de74600ca645fe0e4ed","cross_cats_sorted":["stat.ML"],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"stat.ME","submitted_at":"2018-08-20T18:18:52Z","title_canon_sha256":"75c7e550d28f1ec7a73797d64b344a03c7327a1fef3f6406246542d329b6525b"},"schema_version":"1.0","source":{"id":"1808.06638","kind":"arxiv","version":3}},"canonical_sha256":"802426946f48fe6b9ad0cd9a51f0bbb2d23bdd4eb4ba31b1c4ce8a13cd77acbe","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"802426946f48fe6b9ad0cd9a51f0bbb2d23bdd4eb4ba31b1c4ce8a13cd77acbe","first_computed_at":"2026-05-18T00:07:27.250994Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:07:27.250994Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hl/Bk5SaRz+g/AoqWCxEmtCL9oRgoqwrhd3mf8nkIR4RTOQQopLWQzzeDezTToyJ2m9CA7OzEQedKXsH81IjAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:07:27.251624Z","signed_message":"canonical_sha256_bytes"},"source_id":"1808.06638","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9053ff2197fa787aaff7634b1f7821243800ebc60e177b8aa7bd1e144874a3cc","sha256:b11da26ff0b55ccce950d0e983dc95775012b415ec363767bef840662f17d456"],"state_sha256":"86d0697a7cac3232d20f21f8bf0184e4d82cd9238c38880202ac91b5544e17c0"}