{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:UQW7J4QUU6O2JD36EEFYDZFTJB","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":"5158f405f0a598d4ee4516b775a8b3622a23c8f98833e7f3f34cb434bb13fc6f","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.LG","submitted_at":"2025-08-22T04:05:09Z","title_canon_sha256":"c37682aa9945a5e62307aaf7681db516dd346a355d64a2130eb1f5d790cb8cfc"},"schema_version":"1.0","source":{"id":"2508.16073","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2508.16073","created_at":"2026-07-05T11:57:41Z"},{"alias_kind":"arxiv_version","alias_value":"2508.16073v1","created_at":"2026-07-05T11:57:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2508.16073","created_at":"2026-07-05T11:57:41Z"},{"alias_kind":"pith_short_12","alias_value":"UQW7J4QUU6O2","created_at":"2026-07-05T11:57:41Z"},{"alias_kind":"pith_short_16","alias_value":"UQW7J4QUU6O2JD36","created_at":"2026-07-05T11:57:41Z"},{"alias_kind":"pith_short_8","alias_value":"UQW7J4QU","created_at":"2026-07-05T11:57:41Z"}],"graph_snapshots":[{"event_id":"sha256:38500be6627b9c89442199c69b5a8447de8cde1827e2a9f266c14d281cdafecc","target":"graph","created_at":"2026-07-05T11:57:41Z","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/2508.16073/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Classical discriminant analysis assumes identically distributed training data, yet in many applications observations are collected over time and the class-conditional distributions drift. This population drift renders stationary classifiers unreliable. We propose a principled, model-based framework that embeds discriminant analysis within state-space models to obtain nonstationary linear discriminant analysis (NSLDA) and nonstationary quadratic discriminant analysis (NSQDA). For linear-Gaussian dynamics, we adapt Kalman smoothing to handle multiple samples per time step and develop two practic","authors_text":"Edward R. Dougherty, Mahdi Imani, Shuilian Xie, Ulisses M. Braga-Neto","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.LG","submitted_at":"2025-08-22T04:05:09Z","title":"A State-Space Approach to Nonstationary Discriminant Analysis"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2508.16073","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":"sha256:4c501c12bab5c777a0c7dbb4e6f7b03fb79a13eabadfe39bbc8c56b5ab93789e","target":"record","created_at":"2026-07-05T11:57:41Z","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":"5158f405f0a598d4ee4516b775a8b3622a23c8f98833e7f3f34cb434bb13fc6f","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.LG","submitted_at":"2025-08-22T04:05:09Z","title_canon_sha256":"c37682aa9945a5e62307aaf7681db516dd346a355d64a2130eb1f5d790cb8cfc"},"schema_version":"1.0","source":{"id":"2508.16073","kind":"arxiv","version":1}},"canonical_sha256":"a42df4f214a79da48f7e210b81e4b3484c7db8352b73c0afdb4749cc8163eba0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a42df4f214a79da48f7e210b81e4b3484c7db8352b73c0afdb4749cc8163eba0","first_computed_at":"2026-07-05T11:57:41.303040Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:57:41.303040Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pFSL6/DKZ88+T0OeNLWGKmN48eG1k3FSI5l0MBrCYzcPa+Y6ZzwijTnguxrlvE/6vHdtB+GRxHaFknvScoPeBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T11:57:41.303516Z","signed_message":"canonical_sha256_bytes"},"source_id":"2508.16073","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4c501c12bab5c777a0c7dbb4e6f7b03fb79a13eabadfe39bbc8c56b5ab93789e","sha256:38500be6627b9c89442199c69b5a8447de8cde1827e2a9f266c14d281cdafecc"],"state_sha256":"624bec331f92b37b6d8ea5d4fb3489464bfc06a6ddb0e7825eeca44fa7f4beeb"}