{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:IB27MZYATGZJIPG7K5FQHVT636","short_pith_number":"pith:IB27MZYA","schema_version":"1.0","canonical_sha256":"4075f6670099b2943cdf574b03d67edfb39df665b908af3c5c21270b02728f20","source":{"kind":"arxiv","id":"1809.07850","version":1},"attestation_state":"computed","paper":{"title":"Optimal Bayesian clustering using non-negative matrix factorization","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Ketong Wang, Michael D. Porter","submitted_at":"2018-09-20T20:52:21Z","abstract_excerpt":"Bayesian model-based clustering is a widely applied procedure for discovering groups of related observations in a dataset. These approaches use Bayesian mixture models, estimated with MCMC, which provide posterior samples of the model parameters and clustering partition. While inference on model parameters is well established, inference on the clustering partition is less developed. A new method is developed for estimating the optimal partition from the pairwise posterior similarity matrix generated by a Bayesian cluster model. This approach uses non-negative matrix factorization (NMF) to prov"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1809.07850","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"stat.ME","submitted_at":"2018-09-20T20:52:21Z","cross_cats_sorted":[],"title_canon_sha256":"b83bb0a7fed339c579f6a4fc8da48cb4ed651e620ee876749ef3ee4e6f3669c2","abstract_canon_sha256":"b62b4902a8d99e9ca0dbdf7de0878d4b557d9f62d87f6a02aea225425de9f711"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:05:11.132807Z","signature_b64":"tGaVq3zhLmcHvWn8geMBxmdbVAKJ0sC/RLkQjpA7bn7fKJf9VUV7NiwhBfMwtVbpkfAXL1eygbdT5I4ehbz8Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4075f6670099b2943cdf574b03d67edfb39df665b908af3c5c21270b02728f20","last_reissued_at":"2026-05-18T00:05:11.132234Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:05:11.132234Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Optimal Bayesian clustering using non-negative matrix factorization","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Ketong Wang, Michael D. Porter","submitted_at":"2018-09-20T20:52:21Z","abstract_excerpt":"Bayesian model-based clustering is a widely applied procedure for discovering groups of related observations in a dataset. These approaches use Bayesian mixture models, estimated with MCMC, which provide posterior samples of the model parameters and clustering partition. While inference on model parameters is well established, inference on the clustering partition is less developed. A new method is developed for estimating the optimal partition from the pairwise posterior similarity matrix generated by a Bayesian cluster model. This approach uses non-negative matrix factorization (NMF) to prov"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.07850","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1809.07850","created_at":"2026-05-18T00:05:11.132320+00:00"},{"alias_kind":"arxiv_version","alias_value":"1809.07850v1","created_at":"2026-05-18T00:05:11.132320+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.07850","created_at":"2026-05-18T00:05:11.132320+00:00"},{"alias_kind":"pith_short_12","alias_value":"IB27MZYATGZJ","created_at":"2026-05-18T12:32:28.185984+00:00"},{"alias_kind":"pith_short_16","alias_value":"IB27MZYATGZJIPG7","created_at":"2026-05-18T12:32:28.185984+00:00"},{"alias_kind":"pith_short_8","alias_value":"IB27MZYA","created_at":"2026-05-18T12:32:28.185984+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/IB27MZYATGZJIPG7K5FQHVT636","json":"https://pith.science/pith/IB27MZYATGZJIPG7K5FQHVT636.json","graph_json":"https://pith.science/api/pith-number/IB27MZYATGZJIPG7K5FQHVT636/graph.json","events_json":"https://pith.science/api/pith-number/IB27MZYATGZJIPG7K5FQHVT636/events.json","paper":"https://pith.science/paper/IB27MZYA"},"agent_actions":{"view_html":"https://pith.science/pith/IB27MZYATGZJIPG7K5FQHVT636","download_json":"https://pith.science/pith/IB27MZYATGZJIPG7K5FQHVT636.json","view_paper":"https://pith.science/paper/IB27MZYA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1809.07850&json=true","fetch_graph":"https://pith.science/api/pith-number/IB27MZYATGZJIPG7K5FQHVT636/graph.json","fetch_events":"https://pith.science/api/pith-number/IB27MZYATGZJIPG7K5FQHVT636/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IB27MZYATGZJIPG7K5FQHVT636/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IB27MZYATGZJIPG7K5FQHVT636/action/storage_attestation","attest_author":"https://pith.science/pith/IB27MZYATGZJIPG7K5FQHVT636/action/author_attestation","sign_citation":"https://pith.science/pith/IB27MZYATGZJIPG7K5FQHVT636/action/citation_signature","submit_replication":"https://pith.science/pith/IB27MZYATGZJIPG7K5FQHVT636/action/replication_record"}},"created_at":"2026-05-18T00:05:11.132320+00:00","updated_at":"2026-05-18T00:05:11.132320+00:00"}