{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:ZV7ULXBUSIRNUQ5MSSD5IW5RF5","short_pith_number":"pith:ZV7ULXBU","schema_version":"1.0","canonical_sha256":"cd7f45dc349222da43ac9487d45bb12f5b867cdaa47db98c18557b772fb0de39","source":{"kind":"arxiv","id":"1610.08624","version":1},"attestation_state":"computed","paper":{"title":"PCM and APCM Revisited: An Uncertainty Perspective","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.ML"],"primary_cat":"cs.CV","authors_text":"Hao Deng, Jiguang Yue, Peixin Hou, Shuguang Liu","submitted_at":"2016-10-27T05:41:23Z","abstract_excerpt":"In this paper, we take a new look at the possibilistic c-means (PCM) and adaptive PCM (APCM) clustering algorithms from the perspective of uncertainty. This new perspective offers us insights into the clustering process, and also provides us greater degree of flexibility. We analyze the clustering behavior of PCM-based algorithms and introduce parameters $\\sigma_v$ and $\\alpha$ to characterize uncertainty of estimated bandwidth and noise level of the dataset respectively. Then uncertainty (fuzziness) of membership values caused by uncertainty of the estimated bandwidth parameter is modeled by "},"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":"1610.08624","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2016-10-27T05:41:23Z","cross_cats_sorted":["stat.ML"],"title_canon_sha256":"ed7e723c67f18ace864e2561ca3c73770703ff5142fde8403f2c6b1f32d7b5f2","abstract_canon_sha256":"6d08e8a91e3b594cf3d46b5d84cf49355ade6721edff7facc8649ff27388a154"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:01:07.721623Z","signature_b64":"V+zarlMiL4XrI9heNVTvLCYe8iqkOcsl1qDa/NhaG+feIwPqm+j3HAYhPJJy3uQKZgUzE7OJv7JTdiDqSQT2Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cd7f45dc349222da43ac9487d45bb12f5b867cdaa47db98c18557b772fb0de39","last_reissued_at":"2026-05-18T01:01:07.721106Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:01:07.721106Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"PCM and APCM Revisited: An Uncertainty Perspective","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.ML"],"primary_cat":"cs.CV","authors_text":"Hao Deng, Jiguang Yue, Peixin Hou, Shuguang Liu","submitted_at":"2016-10-27T05:41:23Z","abstract_excerpt":"In this paper, we take a new look at the possibilistic c-means (PCM) and adaptive PCM (APCM) clustering algorithms from the perspective of uncertainty. This new perspective offers us insights into the clustering process, and also provides us greater degree of flexibility. We analyze the clustering behavior of PCM-based algorithms and introduce parameters $\\sigma_v$ and $\\alpha$ to characterize uncertainty of estimated bandwidth and noise level of the dataset respectively. Then uncertainty (fuzziness) of membership values caused by uncertainty of the estimated bandwidth parameter is modeled by "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.08624","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":"1610.08624","created_at":"2026-05-18T01:01:07.721194+00:00"},{"alias_kind":"arxiv_version","alias_value":"1610.08624v1","created_at":"2026-05-18T01:01:07.721194+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.08624","created_at":"2026-05-18T01:01:07.721194+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZV7ULXBUSIRN","created_at":"2026-05-18T12:30:55.937587+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZV7ULXBUSIRNUQ5M","created_at":"2026-05-18T12:30:55.937587+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZV7ULXBU","created_at":"2026-05-18T12:30:55.937587+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/ZV7ULXBUSIRNUQ5MSSD5IW5RF5","json":"https://pith.science/pith/ZV7ULXBUSIRNUQ5MSSD5IW5RF5.json","graph_json":"https://pith.science/api/pith-number/ZV7ULXBUSIRNUQ5MSSD5IW5RF5/graph.json","events_json":"https://pith.science/api/pith-number/ZV7ULXBUSIRNUQ5MSSD5IW5RF5/events.json","paper":"https://pith.science/paper/ZV7ULXBU"},"agent_actions":{"view_html":"https://pith.science/pith/ZV7ULXBUSIRNUQ5MSSD5IW5RF5","download_json":"https://pith.science/pith/ZV7ULXBUSIRNUQ5MSSD5IW5RF5.json","view_paper":"https://pith.science/paper/ZV7ULXBU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1610.08624&json=true","fetch_graph":"https://pith.science/api/pith-number/ZV7ULXBUSIRNUQ5MSSD5IW5RF5/graph.json","fetch_events":"https://pith.science/api/pith-number/ZV7ULXBUSIRNUQ5MSSD5IW5RF5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZV7ULXBUSIRNUQ5MSSD5IW5RF5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZV7ULXBUSIRNUQ5MSSD5IW5RF5/action/storage_attestation","attest_author":"https://pith.science/pith/ZV7ULXBUSIRNUQ5MSSD5IW5RF5/action/author_attestation","sign_citation":"https://pith.science/pith/ZV7ULXBUSIRNUQ5MSSD5IW5RF5/action/citation_signature","submit_replication":"https://pith.science/pith/ZV7ULXBUSIRNUQ5MSSD5IW5RF5/action/replication_record"}},"created_at":"2026-05-18T01:01:07.721194+00:00","updated_at":"2026-05-18T01:01:07.721194+00:00"}