{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:OOVVP3ZXJXL6K233TTO57RFXPW","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":"588b6ae76dbcf6405e7d2d52d6cf5c534d4b8d8b1f506f039d6cb901de20e3dc","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-05-20T07:24:54Z","title_canon_sha256":"cb4d4c6cc9157f5006ea696fa86126a9cbc8a8ffd025356713e1631bbc4af828"},"schema_version":"1.0","source":{"id":"1205.4390","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.4390","created_at":"2026-05-18T03:55:13Z"},{"alias_kind":"arxiv_version","alias_value":"1205.4390v1","created_at":"2026-05-18T03:55:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.4390","created_at":"2026-05-18T03:55:13Z"},{"alias_kind":"pith_short_12","alias_value":"OOVVP3ZXJXL6","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_16","alias_value":"OOVVP3ZXJXL6K233","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_8","alias_value":"OOVVP3ZX","created_at":"2026-05-18T12:27:16Z"}],"graph_snapshots":[{"event_id":"sha256:d71261c7c9f52b6b1d69fad0f8ebc254acf78d67712c2be869c60206d65627bc","target":"graph","created_at":"2026-05-18T03:55:13Z","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":"This letter proposes a novel adaptive reduced-rank filtering scheme based on joint iterative optimization of adaptive filters. The novel scheme consists of a joint iterative optimization of a bank of full-rank adaptive filters that forms the projection matrix and an adaptive reduced-rank filter that operates at the output of the bank of filters. We describe minimum mean-squared error (MMSE) expressions for the design of the projection matrix and the reduced-rank filter and low-complexity normalized least-mean squares (NLMS) adaptive algorithms for its efficient implementation. Simulations for ","authors_text":"Raimundo Sampaio-Neto, Rodrigo C. de Lamare","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-05-20T07:24:54Z","title":"Reduced-Rank Adaptive Filtering Based on Joint Iterative Optimization of Adaptive Filters"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.4390","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":"sha256:12e51f9dae88d546d734479be7ae837aacf1a9b9aa609f978f84a14d634eb412","target":"record","created_at":"2026-05-18T03:55:13Z","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":"588b6ae76dbcf6405e7d2d52d6cf5c534d4b8d8b1f506f039d6cb901de20e3dc","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-05-20T07:24:54Z","title_canon_sha256":"cb4d4c6cc9157f5006ea696fa86126a9cbc8a8ffd025356713e1631bbc4af828"},"schema_version":"1.0","source":{"id":"1205.4390","kind":"arxiv","version":1}},"canonical_sha256":"73ab57ef374dd7e56b7b9cdddfc4b77da9b4a6a88a988a98d8f1554ddd697a9b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"73ab57ef374dd7e56b7b9cdddfc4b77da9b4a6a88a988a98d8f1554ddd697a9b","first_computed_at":"2026-05-18T03:55:13.299877Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:55:13.299877Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IGlb8JYsEuRn+kUQspPDawSko/Hf1TQ6o9wbntF6/1XszXuHYD1Q5Wzv1PZA3oBnMYbYQYjkeOcayeX5g7N2Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:55:13.300353Z","signed_message":"canonical_sha256_bytes"},"source_id":"1205.4390","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:12e51f9dae88d546d734479be7ae837aacf1a9b9aa609f978f84a14d634eb412","sha256:d71261c7c9f52b6b1d69fad0f8ebc254acf78d67712c2be869c60206d65627bc"],"state_sha256":"9678fa02ad8cc90337715f1377af1fcaf92616f644a6c38cf9f6c866f5697472"}