{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:RHPI6G5XQ7EBCNQOCTW4NTWW3L","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":"886087b8d5878fab35814c293ec214ea88423b8b09f827b607c1976b4fb56e16","cross_cats_sorted":["cs.LG","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-08-19T09:19:54Z","title_canon_sha256":"b03ee4120f1399a4debd6dacfa4946427c858a4aefd2e0c987dae950ae09ecde"},"schema_version":"1.0","source":{"id":"1908.06655","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.06655","created_at":"2026-07-05T00:35:01Z"},{"alias_kind":"arxiv_version","alias_value":"1908.06655v1","created_at":"2026-07-05T00:35:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.06655","created_at":"2026-07-05T00:35:01Z"},{"alias_kind":"pith_short_12","alias_value":"RHPI6G5XQ7EB","created_at":"2026-07-05T00:35:01Z"},{"alias_kind":"pith_short_16","alias_value":"RHPI6G5XQ7EBCNQO","created_at":"2026-07-05T00:35:01Z"},{"alias_kind":"pith_short_8","alias_value":"RHPI6G5X","created_at":"2026-07-05T00:35:01Z"}],"graph_snapshots":[{"event_id":"sha256:d0cd45c6880f360d9fc55276ad306f30ec3bcf0b09ed15bf021399524d1d62e2","target":"graph","created_at":"2026-07-05T00:35:01Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1908.06655/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Clustering algorithms are a cornerstone of machine learning applications. Recently, a quantum algorithm for clustering based on the k-means algorithm has been proposed by Kerenidis, Landman, Luongo and Prakash. Based on their work, we propose a quantum expectation-maximization (EM) algorithm for Gaussian mixture models (GMMs). The robustness and quantum speedup of the algorithm is demonstrated. We also show numerically the advantage of GMM over k-means for non-trivial cluster data.","authors_text":"Hideyuki Miyahara, Kazuyuki Aihara, Wolfgang Lechner","cross_cats":["cs.LG","stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-08-19T09:19:54Z","title":"Quantum Expectation-Maximization Algorithm"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.06655","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":"sha256:43d5b6634d33491409cbad43888f4451fed9af5cc723413ba22792a0eff9d92d","target":"record","created_at":"2026-07-05T00:35:01Z","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":"886087b8d5878fab35814c293ec214ea88423b8b09f827b607c1976b4fb56e16","cross_cats_sorted":["cs.LG","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-08-19T09:19:54Z","title_canon_sha256":"b03ee4120f1399a4debd6dacfa4946427c858a4aefd2e0c987dae950ae09ecde"},"schema_version":"1.0","source":{"id":"1908.06655","kind":"arxiv","version":1}},"canonical_sha256":"89de8f1bb787c811360e14edc6ced6daccb2d771436ad40298cc5eeac4fbdf93","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"89de8f1bb787c811360e14edc6ced6daccb2d771436ad40298cc5eeac4fbdf93","first_computed_at":"2026-07-05T00:35:01.735833Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:35:01.735833Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WCuCXMzk2IDC+EEzeJ4+xo4cyxS8+TDXPFnyLz6kW6mRcYTPSJCZHt4O/xXHXolxVpMwjbC0fcRTNKDTKqZwBw==","signature_status":"signed_v1","signed_at":"2026-07-05T00:35:01.736622Z","signed_message":"canonical_sha256_bytes"},"source_id":"1908.06655","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:43d5b6634d33491409cbad43888f4451fed9af5cc723413ba22792a0eff9d92d","sha256:d0cd45c6880f360d9fc55276ad306f30ec3bcf0b09ed15bf021399524d1d62e2"],"state_sha256":"9c3c6e65366ea43efa615d1683e63e8daccad133f96a7f0449bbf56abc8f4344"}