{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:A2TICGGYMJKTKT7N3S6MY7YLRU","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":"862ebcbea7fc14590fbd944c05d95eb14a29afad60ed00315ca52338cb22c6ff","cross_cats_sorted":["cs.NE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2013-08-29T15:38:13Z","title_canon_sha256":"7d57aed9f3d046e0b8ea77c64d04f2836b7e7b62d4fbb3d61d2b232babfbd3e4"},"schema_version":"1.0","source":{"id":"1308.6498","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.6498","created_at":"2026-05-18T03:06:44Z"},{"alias_kind":"arxiv_version","alias_value":"1308.6498v2","created_at":"2026-05-18T03:06:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.6498","created_at":"2026-05-18T03:06:44Z"},{"alias_kind":"pith_short_12","alias_value":"A2TICGGYMJKT","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_16","alias_value":"A2TICGGYMJKTKT7N","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_8","alias_value":"A2TICGGY","created_at":"2026-05-18T12:27:38Z"}],"graph_snapshots":[{"event_id":"sha256:92998461f2927c188d6f802966918aea409ed5f86db08118ff6acf5f796ef0eb","target":"graph","created_at":"2026-05-18T03:06:44Z","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 paper proposes a specific type of Local Linear Model, the Shuffled Linear Model (SLM), that can be used as a universal approximator. Local operating points are chosen randomly and linear models are used to approximate a function or system around these points. The model can also be interpreted as an extension to Extreme Learning Machines with Radial Basis Function nodes, or as a specific way of using Takagi-Sugeno fuzzy models. Using the available theory of Extreme Learning Machines, universal approximation of the SLM and an upper bound on the number of models are proved mathematically, an","authors_text":"Laurens Bliek","cross_cats":["cs.NE"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2013-08-29T15:38:13Z","title":"Universal Approximation Using Shuffled Linear Models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.6498","kind":"arxiv","version":2},"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":"sha256:4a2301d79ae80c664e4c2f3095cd7deed2bc24930fe9ed01730edc7327c76036","target":"record","created_at":"2026-05-18T03:06:44Z","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":"862ebcbea7fc14590fbd944c05d95eb14a29afad60ed00315ca52338cb22c6ff","cross_cats_sorted":["cs.NE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2013-08-29T15:38:13Z","title_canon_sha256":"7d57aed9f3d046e0b8ea77c64d04f2836b7e7b62d4fbb3d61d2b232babfbd3e4"},"schema_version":"1.0","source":{"id":"1308.6498","kind":"arxiv","version":2}},"canonical_sha256":"06a68118d86255354feddcbccc7f0b8d106016d3d6085334b0fa2c72f1be0c5f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"06a68118d86255354feddcbccc7f0b8d106016d3d6085334b0fa2c72f1be0c5f","first_computed_at":"2026-05-18T03:06:44.315288Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:06:44.315288Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3UpQjIGRhcpFk+J2a5NL4UD2h96LwQSk3VmZXjyQjGHvxaD1atnnCyW1z/k36s22qnGe5HDNXIdg11y7k8lXCA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:06:44.315665Z","signed_message":"canonical_sha256_bytes"},"source_id":"1308.6498","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4a2301d79ae80c664e4c2f3095cd7deed2bc24930fe9ed01730edc7327c76036","sha256:92998461f2927c188d6f802966918aea409ed5f86db08118ff6acf5f796ef0eb"],"state_sha256":"828e3a8971d8b9ce87ba097920c2cb6f5474399bc6c84e065796c9193c36ab31"}