{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:OECIS6AIS2O2PRVNPZIW6VD5PK","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":"2bb4b98d543462539babda37dff34bb68c8de87676a088f4d3b6a1bc5c68efad","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2025-03-03T13:26:46Z","title_canon_sha256":"4355d325efabca3f89b92634302352182105807f61711a15267f4ac4cb27cdef"},"schema_version":"1.0","source":{"id":"2503.01515","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2503.01515","created_at":"2026-07-05T10:23:08Z"},{"alias_kind":"arxiv_version","alias_value":"2503.01515v1","created_at":"2026-07-05T10:23:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2503.01515","created_at":"2026-07-05T10:23:08Z"},{"alias_kind":"pith_short_12","alias_value":"OECIS6AIS2O2","created_at":"2026-07-05T10:23:08Z"},{"alias_kind":"pith_short_16","alias_value":"OECIS6AIS2O2PRVN","created_at":"2026-07-05T10:23:08Z"},{"alias_kind":"pith_short_8","alias_value":"OECIS6AI","created_at":"2026-07-05T10:23:08Z"}],"graph_snapshots":[{"event_id":"sha256:6d52db1bad5696b9bb880d37b54099b18f402d505fb3abe4f3ab9ab7229476b9","target":"graph","created_at":"2026-07-05T10:23:08Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2503.01515/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Motivated by the inherent heterogeneity observed in many functional or imaging datasets, this paper focuses on subgroup learning in functional or image responses. While change-plane analysis has demonstrated empirical success in practice, the existing methodology is confined to scalar or longitudinal data. In this paper, we propose a novel framework for estimation, identifying, and testing the existence of subgroups in the functional or image response through the change-plane method. The asymptotic theories of the functional parameters are established based on the vector-valued Reproducing Ker","authors_text":"Jinhong You, Xin Guan, Xu Liu, Yiyuan Li","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2025-03-03T13:26:46Z","title":"Subgroup learning in functional regression models under the RKHS framework"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2503.01515","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":"sha256:28fa514f9e7dc6a08bb82a5d0dde873d4285dc8cdf90af45b357d5a549eeccca","target":"record","created_at":"2026-07-05T10:23:08Z","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":"2bb4b98d543462539babda37dff34bb68c8de87676a088f4d3b6a1bc5c68efad","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2025-03-03T13:26:46Z","title_canon_sha256":"4355d325efabca3f89b92634302352182105807f61711a15267f4ac4cb27cdef"},"schema_version":"1.0","source":{"id":"2503.01515","kind":"arxiv","version":1}},"canonical_sha256":"7104897808969da7c6ad7e516f547d7a90303a4502edf6c79544f0b5b1e36ac8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7104897808969da7c6ad7e516f547d7a90303a4502edf6c79544f0b5b1e36ac8","first_computed_at":"2026-07-05T10:23:08.861863Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:23:08.861863Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FZuoWVf6l7wtm3jRM1S+2Y3YE+IMqemPuL+vlotePSaHhltCmv6rSQoN8ns7PIgmQoai1cvMNJQou94MByRgAg==","signature_status":"signed_v1","signed_at":"2026-07-05T10:23:08.862529Z","signed_message":"canonical_sha256_bytes"},"source_id":"2503.01515","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:28fa514f9e7dc6a08bb82a5d0dde873d4285dc8cdf90af45b357d5a549eeccca","sha256:6d52db1bad5696b9bb880d37b54099b18f402d505fb3abe4f3ab9ab7229476b9"],"state_sha256":"d91a7db85dab604d6f754483677018c74129f648358cbe9b629b9b9eb4fd9426"}