{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:2SHIFCRUCE3FZJUC2AOJPFSXOD","short_pith_number":"pith:2SHIFCRU","schema_version":"1.0","canonical_sha256":"d48e828a3411365ca682d01c97965770e3049fba9fca768d42adff9ef5f5cae1","source":{"kind":"arxiv","id":"1009.3601","version":1},"attestation_state":"computed","paper":{"title":"Pair-Wise Cluster Analysis","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.ST","stat.AP","stat.TH"],"primary_cat":"stat.ML","authors_text":"David R. Hardoon, Kristiaan Pelcksman","submitted_at":"2010-09-19T02:28:35Z","abstract_excerpt":"This paper studies the problem of learning clusters which are consistently present in different (continuously valued) representations of observed data. Our setup differs slightly from the standard approach of (co-) clustering as we use the fact that some form of `labeling' becomes available in this setup: a cluster is only interesting if it has a counterpart in the alternative representation. The contribution of this paper is twofold: (i) the problem setting is explored and an analysis in terms of the PAC-Bayesian theorem is presented, (ii) a practical kernel-based algorithm is derived exploit"},"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":"1009.3601","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2010-09-19T02:28:35Z","cross_cats_sorted":["math.ST","stat.AP","stat.TH"],"title_canon_sha256":"e09833cef0300eb6c1709226ec68d454f320f39c874779155f4bfcca79f019d6","abstract_canon_sha256":"4c7a7a9c9dd058b360f4aa3b2352ad2eda76043eb8b8fdc3782d0c5977741f0e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:40:44.448899Z","signature_b64":"30V8ItoExQfiqhk5j0znz+Kq7dAD0bo9nnc3VKB6j3v05tTfaUOK1GOyyOjyAV/fQrEtNy+CAhKV7hj2EMj2Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d48e828a3411365ca682d01c97965770e3049fba9fca768d42adff9ef5f5cae1","last_reissued_at":"2026-05-18T04:40:44.447567Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:40:44.447567Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Pair-Wise Cluster Analysis","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.ST","stat.AP","stat.TH"],"primary_cat":"stat.ML","authors_text":"David R. Hardoon, Kristiaan Pelcksman","submitted_at":"2010-09-19T02:28:35Z","abstract_excerpt":"This paper studies the problem of learning clusters which are consistently present in different (continuously valued) representations of observed data. Our setup differs slightly from the standard approach of (co-) clustering as we use the fact that some form of `labeling' becomes available in this setup: a cluster is only interesting if it has a counterpart in the alternative representation. The contribution of this paper is twofold: (i) the problem setting is explored and an analysis in terms of the PAC-Bayesian theorem is presented, (ii) a practical kernel-based algorithm is derived exploit"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.3601","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":"1009.3601","created_at":"2026-05-18T04:40:44.447670+00:00"},{"alias_kind":"arxiv_version","alias_value":"1009.3601v1","created_at":"2026-05-18T04:40:44.447670+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.3601","created_at":"2026-05-18T04:40:44.447670+00:00"},{"alias_kind":"pith_short_12","alias_value":"2SHIFCRUCE3F","created_at":"2026-05-18T12:26:03.138858+00:00"},{"alias_kind":"pith_short_16","alias_value":"2SHIFCRUCE3FZJUC","created_at":"2026-05-18T12:26:03.138858+00:00"},{"alias_kind":"pith_short_8","alias_value":"2SHIFCRU","created_at":"2026-05-18T12:26:03.138858+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/2SHIFCRUCE3FZJUC2AOJPFSXOD","json":"https://pith.science/pith/2SHIFCRUCE3FZJUC2AOJPFSXOD.json","graph_json":"https://pith.science/api/pith-number/2SHIFCRUCE3FZJUC2AOJPFSXOD/graph.json","events_json":"https://pith.science/api/pith-number/2SHIFCRUCE3FZJUC2AOJPFSXOD/events.json","paper":"https://pith.science/paper/2SHIFCRU"},"agent_actions":{"view_html":"https://pith.science/pith/2SHIFCRUCE3FZJUC2AOJPFSXOD","download_json":"https://pith.science/pith/2SHIFCRUCE3FZJUC2AOJPFSXOD.json","view_paper":"https://pith.science/paper/2SHIFCRU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1009.3601&json=true","fetch_graph":"https://pith.science/api/pith-number/2SHIFCRUCE3FZJUC2AOJPFSXOD/graph.json","fetch_events":"https://pith.science/api/pith-number/2SHIFCRUCE3FZJUC2AOJPFSXOD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2SHIFCRUCE3FZJUC2AOJPFSXOD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2SHIFCRUCE3FZJUC2AOJPFSXOD/action/storage_attestation","attest_author":"https://pith.science/pith/2SHIFCRUCE3FZJUC2AOJPFSXOD/action/author_attestation","sign_citation":"https://pith.science/pith/2SHIFCRUCE3FZJUC2AOJPFSXOD/action/citation_signature","submit_replication":"https://pith.science/pith/2SHIFCRUCE3FZJUC2AOJPFSXOD/action/replication_record"}},"created_at":"2026-05-18T04:40:44.447670+00:00","updated_at":"2026-05-18T04:40:44.447670+00:00"}