{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:LCDT5DFUXM5SH4V4WALHFEHKQA","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":"b7af0fc7aa6d41f96a3f7a6e4aa8adef76d5ffc5827c1c4cc0fbea8f8be7bb30","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2012-12-17T10:28:55Z","title_canon_sha256":"60702e36b1299cfc8312806dd50875abf35fc42f12775ac0c7f03db80ae0c5ce"},"schema_version":"1.0","source":{"id":"1212.3953","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.3953","created_at":"2026-05-18T03:38:21Z"},{"alias_kind":"arxiv_version","alias_value":"1212.3953v1","created_at":"2026-05-18T03:38:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.3953","created_at":"2026-05-18T03:38:21Z"},{"alias_kind":"pith_short_12","alias_value":"LCDT5DFUXM5S","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_16","alias_value":"LCDT5DFUXM5SH4V4","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_8","alias_value":"LCDT5DFU","created_at":"2026-05-18T12:27:14Z"}],"graph_snapshots":[{"event_id":"sha256:b17f26265a6ef6120bf3d20e83c5433293dfcc2f347196350fb91687c31f010c","target":"graph","created_at":"2026-05-18T03:38:21Z","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":"Independent component analysis (ICA) has become a popular multivariate analysis and signal processing technique with diverse applications. This paper is targeted at discussing theoretical large sample properties of ICA unmixing matrix functionals. We provide a formal definition of unmixing matrix functional and consider two popular estimators in detail: the family based on two scatter matrices with the independence property (e.g., FOBI estimator) and the family of deflation-based fastICA estimators. The limiting behavior of the corresponding estimates is discussed and the asymptotic normality ","authors_text":"Esa Ollila, Hannu Oja, Klaus Nordhausen, Pauliina Ilmonen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2012-12-17T10:28:55Z","title":"On asymptotics of ICA estimators and their performance indices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.3953","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:cad0f09c3497c68e04d43b351dd155e04ead2419d46e534878e5f1cc4e2cd162","target":"record","created_at":"2026-05-18T03:38:21Z","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":"b7af0fc7aa6d41f96a3f7a6e4aa8adef76d5ffc5827c1c4cc0fbea8f8be7bb30","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2012-12-17T10:28:55Z","title_canon_sha256":"60702e36b1299cfc8312806dd50875abf35fc42f12775ac0c7f03db80ae0c5ce"},"schema_version":"1.0","source":{"id":"1212.3953","kind":"arxiv","version":1}},"canonical_sha256":"58873e8cb4bb3b23f2bcb0167290ea8009958d188d14a62c14913dc2455f397e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"58873e8cb4bb3b23f2bcb0167290ea8009958d188d14a62c14913dc2455f397e","first_computed_at":"2026-05-18T03:38:21.931283Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:38:21.931283Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NjRDTiEkVILSDgGZ5Vs1KSde5lAc95jWiDGVc9kb1efm3Ejb6ZiCqvMOjOPhEGPcIuSZhTqK/R4de+G7w+vWDA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:38:21.931907Z","signed_message":"canonical_sha256_bytes"},"source_id":"1212.3953","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cad0f09c3497c68e04d43b351dd155e04ead2419d46e534878e5f1cc4e2cd162","sha256:b17f26265a6ef6120bf3d20e83c5433293dfcc2f347196350fb91687c31f010c"],"state_sha256":"c39782f5ae09d2b0fbf7fdcbbe0285ffad65f7acd050e1aaffa9f345daf5cb07"}