{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:BAK4XBZW6XBFL2XNTRGWQEDQTK","short_pith_number":"pith:BAK4XBZW","schema_version":"1.0","canonical_sha256":"0815cb8736f5c255eaed9c4d6810709abb3e874104359fd7143a28795b0924e6","source":{"kind":"arxiv","id":"2411.13922","version":4},"attestation_state":"computed","paper":{"title":"Exponentially Consistent Nonparametric Linkage-Based Clustering of Data Sequences","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":["cs.IT","cs.LG","eess.SP","math.IT"],"primary_cat":"stat.ML","authors_text":"Ananth Ram Rajagopalan, Bhupender Singh, Srikrishna Bhashyam","submitted_at":"2024-11-21T08:18:04Z","abstract_excerpt":"In this paper, we consider nonparametric clustering of $M$ independent and identically distributed (i.i.d.) data sequences generated from {\\em unknown} distributions. The distributions of the $M$ data sequences belong to $K$ underlying distribution clusters. Existing results on exponentially consistent nonparametric clustering algorithms, like single linkage-based (SLINK) clustering and $k$-medoids distribution clustering, assume that the maximum intra-cluster distance ($d_L$) is smaller than the minimum inter-cluster distance ($d_H$). First, in the fixed sample size (FSS) setting, we show tha"},"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":"2411.13922","kind":"arxiv","version":4},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"stat.ML","submitted_at":"2024-11-21T08:18:04Z","cross_cats_sorted":["cs.IT","cs.LG","eess.SP","math.IT"],"title_canon_sha256":"d036cf668879b291dac7501d65cde914d6cd5327f78c81f136dd6e14436073a3","abstract_canon_sha256":"cfb2dd0c4cb39c59e4b490feb94c83abed374dcb2c298da21ea9d553572fdcbb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:49:05.388133Z","signature_b64":"REz+Cua3X9L+v6CNOyDTx/UKyoEPMYNXeonyg9yVQsxbIAsJhC0yMsFQ/4j0PRYWsusm+P+C4kFrsnleloAwDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0815cb8736f5c255eaed9c4d6810709abb3e874104359fd7143a28795b0924e6","last_reissued_at":"2026-07-05T11:49:05.387624Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:49:05.387624Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Exponentially Consistent Nonparametric Linkage-Based Clustering of Data Sequences","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":["cs.IT","cs.LG","eess.SP","math.IT"],"primary_cat":"stat.ML","authors_text":"Ananth Ram Rajagopalan, Bhupender Singh, Srikrishna Bhashyam","submitted_at":"2024-11-21T08:18:04Z","abstract_excerpt":"In this paper, we consider nonparametric clustering of $M$ independent and identically distributed (i.i.d.) data sequences generated from {\\em unknown} distributions. The distributions of the $M$ data sequences belong to $K$ underlying distribution clusters. Existing results on exponentially consistent nonparametric clustering algorithms, like single linkage-based (SLINK) clustering and $k$-medoids distribution clustering, assume that the maximum intra-cluster distance ($d_L$) is smaller than the minimum inter-cluster distance ($d_H$). First, in the fixed sample size (FSS) setting, we show tha"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.13922","kind":"arxiv","version":4},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2411.13922/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2411.13922","created_at":"2026-07-05T11:49:05.387686+00:00"},{"alias_kind":"arxiv_version","alias_value":"2411.13922v4","created_at":"2026-07-05T11:49:05.387686+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.13922","created_at":"2026-07-05T11:49:05.387686+00:00"},{"alias_kind":"pith_short_12","alias_value":"BAK4XBZW6XBF","created_at":"2026-07-05T11:49:05.387686+00:00"},{"alias_kind":"pith_short_16","alias_value":"BAK4XBZW6XBFL2XN","created_at":"2026-07-05T11:49:05.387686+00:00"},{"alias_kind":"pith_short_8","alias_value":"BAK4XBZW","created_at":"2026-07-05T11:49:05.387686+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/BAK4XBZW6XBFL2XNTRGWQEDQTK","json":"https://pith.science/pith/BAK4XBZW6XBFL2XNTRGWQEDQTK.json","graph_json":"https://pith.science/api/pith-number/BAK4XBZW6XBFL2XNTRGWQEDQTK/graph.json","events_json":"https://pith.science/api/pith-number/BAK4XBZW6XBFL2XNTRGWQEDQTK/events.json","paper":"https://pith.science/paper/BAK4XBZW"},"agent_actions":{"view_html":"https://pith.science/pith/BAK4XBZW6XBFL2XNTRGWQEDQTK","download_json":"https://pith.science/pith/BAK4XBZW6XBFL2XNTRGWQEDQTK.json","view_paper":"https://pith.science/paper/BAK4XBZW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2411.13922&json=true","fetch_graph":"https://pith.science/api/pith-number/BAK4XBZW6XBFL2XNTRGWQEDQTK/graph.json","fetch_events":"https://pith.science/api/pith-number/BAK4XBZW6XBFL2XNTRGWQEDQTK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BAK4XBZW6XBFL2XNTRGWQEDQTK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BAK4XBZW6XBFL2XNTRGWQEDQTK/action/storage_attestation","attest_author":"https://pith.science/pith/BAK4XBZW6XBFL2XNTRGWQEDQTK/action/author_attestation","sign_citation":"https://pith.science/pith/BAK4XBZW6XBFL2XNTRGWQEDQTK/action/citation_signature","submit_replication":"https://pith.science/pith/BAK4XBZW6XBFL2XNTRGWQEDQTK/action/replication_record"}},"created_at":"2026-07-05T11:49:05.387686+00:00","updated_at":"2026-07-05T11:49:05.387686+00:00"}