{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:UB5QHI4G62Y66PWWLTY2W2BGTL","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":"5c25bc72ddb47c40e49e4c2a63344f2c6fdc1234a7d670b3a6e8504db17cceb3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2013-10-31T17:53:06Z","title_canon_sha256":"631fd2b8f3dde0d03b0c6eb6ceac8842190e47c9df62deb3ce7556a0a9a14769"},"schema_version":"1.0","source":{"id":"1310.8618","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.8618","created_at":"2026-05-18T03:08:16Z"},{"alias_kind":"arxiv_version","alias_value":"1310.8618v1","created_at":"2026-05-18T03:08:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.8618","created_at":"2026-05-18T03:08:16Z"},{"alias_kind":"pith_short_12","alias_value":"UB5QHI4G62Y6","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"UB5QHI4G62Y66PWW","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"UB5QHI4G","created_at":"2026-05-18T12:28:02Z"}],"graph_snapshots":[{"event_id":"sha256:5cfdade883f826a5a0c5a6ec88c61821e781c461e2946ba0201b6f8a8c848d63","target":"graph","created_at":"2026-05-18T03:08:16Z","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":"The kernel least-mean-square (KLMS) algorithm is an appealing tool for online identification of nonlinear systems due to its simplicity and robustness. In addition to choosing a reproducing kernel and setting filter parameters, designing a KLMS adaptive filter requires to select a so-called dictionary in order to get a finite-order model. This dictionary has a significant impact on performance, and requires careful consideration. Theoretical analysis of KLMS as a function of dictionary setting has rarely, if ever, been addressed in the literature. In an analysis previously published by the aut","authors_text":"C\\'edric Richard, Jie Chen, Jose-Carlos M. Bermudez, Wei Gao","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2013-10-31T17:53:06Z","title":"Convergence analysis of kernel LMS algorithm with pre-tuned dictionary"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.8618","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":"sha256:8a0589b7ba1571e4b77d03feb2bcf5e62df66318dac50475cce8399c6ca22f93","target":"record","created_at":"2026-05-18T03:08:16Z","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":"5c25bc72ddb47c40e49e4c2a63344f2c6fdc1234a7d670b3a6e8504db17cceb3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2013-10-31T17:53:06Z","title_canon_sha256":"631fd2b8f3dde0d03b0c6eb6ceac8842190e47c9df62deb3ce7556a0a9a14769"},"schema_version":"1.0","source":{"id":"1310.8618","kind":"arxiv","version":1}},"canonical_sha256":"a07b03a386f6b1ef3ed65cf1ab68269ada1aab5fb81d73fac0ba426e997319ba","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a07b03a386f6b1ef3ed65cf1ab68269ada1aab5fb81d73fac0ba426e997319ba","first_computed_at":"2026-05-18T03:08:16.524197Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:08:16.524197Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dpLQHU5dVAPZ5uqp1OPJ4y90UMNutAkYzyy+bvHM+MsXssD9LWIgtSvaQ953FsIGRCpzbo6mWDMXTdu26AzxAw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:08:16.524656Z","signed_message":"canonical_sha256_bytes"},"source_id":"1310.8618","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8a0589b7ba1571e4b77d03feb2bcf5e62df66318dac50475cce8399c6ca22f93","sha256:5cfdade883f826a5a0c5a6ec88c61821e781c461e2946ba0201b6f8a8c848d63"],"state_sha256":"734007121b9caf12745e55225ce22f2ac1b914951e1d58a1e7dafdcb993b84e3"}