{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:JYA5RT3SK4MEPLVBVC2NN2B7GA","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":"1550139d52cb599a3c84711c641b3a08a55f55bde1de97f396315f10969a829a","cross_cats_sorted":["cs.LG","math.NA","math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2014-06-20T06:45:24Z","title_canon_sha256":"6229be8df3f252d10d6ed9af065014f4ec2320a43cf530e6c6eeba6c58597915"},"schema_version":"1.0","source":{"id":"1406.5286","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.5286","created_at":"2026-05-18T02:00:59Z"},{"alias_kind":"arxiv_version","alias_value":"1406.5286v1","created_at":"2026-05-18T02:00:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.5286","created_at":"2026-05-18T02:00:59Z"},{"alias_kind":"pith_short_12","alias_value":"JYA5RT3SK4ME","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"JYA5RT3SK4MEPLVB","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"JYA5RT3S","created_at":"2026-05-18T12:28:35Z"}],"graph_snapshots":[{"event_id":"sha256:3a281fdfc219c3c4974279fd6983825c8bac88868ea1feb7832ffe5ef5c6e07b","target":"graph","created_at":"2026-05-18T02:00:59Z","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":"In this paper, we analyze different preconditionings designed to enhance robustness of pure-pixel search algorithms, which are used for blind hyperspectral unmixing and which are equivalent to near-separable nonnegative matrix factorization algorithms. Our analysis focuses on the successive projection algorithm (SPA), a simple, efficient and provably robust algorithm in the pure-pixel algorithm class. Recently, a provably robust preconditioning was proposed by Gillis and Vavasis (arXiv:1310.2273) which requires the resolution of a semidefinite program (SDP) to find a data points-enclosing mini","authors_text":"Nicolas Gillis, Wing-Kin Ma","cross_cats":["cs.LG","math.NA","math.OC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2014-06-20T06:45:24Z","title":"Enhancing Pure-Pixel Identification Performance via Preconditioning"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.5286","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":"sha256:91c130af40ce81e995bdfaff59c7d2a8573fde54c07be6a0d45da33ee22d93a2","target":"record","created_at":"2026-05-18T02:00:59Z","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":"1550139d52cb599a3c84711c641b3a08a55f55bde1de97f396315f10969a829a","cross_cats_sorted":["cs.LG","math.NA","math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2014-06-20T06:45:24Z","title_canon_sha256":"6229be8df3f252d10d6ed9af065014f4ec2320a43cf530e6c6eeba6c58597915"},"schema_version":"1.0","source":{"id":"1406.5286","kind":"arxiv","version":1}},"canonical_sha256":"4e01d8cf72571847aea1a8b4d6e83f300a157c41375ba3bec921c1d03f535ec8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4e01d8cf72571847aea1a8b4d6e83f300a157c41375ba3bec921c1d03f535ec8","first_computed_at":"2026-05-18T02:00:59.024450Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:00:59.024450Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"f/dVrOWeR0xygL+lI2LTIpanuO4aH8rIIYkEPM2pWi0BQv4KlMQloq9P3gr4SZCshrhb7Z0S0zrvVisxoEJoCg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:00:59.025109Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.5286","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:91c130af40ce81e995bdfaff59c7d2a8573fde54c07be6a0d45da33ee22d93a2","sha256:3a281fdfc219c3c4974279fd6983825c8bac88868ea1feb7832ffe5ef5c6e07b"],"state_sha256":"4da787b52e6a6f33e2a3dbdbfdcb52bdbcbf55e5ce069c79e0ae5e1685bb85ab"}