{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:AGOLTXGPOST7D6YTQ2SFULOPRR","short_pith_number":"pith:AGOLTXGP","schema_version":"1.0","canonical_sha256":"019cb9dccf74a7f1fb1386a45a2dcf8c549c6af90c78cf611f949b81faf58579","source":{"kind":"arxiv","id":"1806.00731","version":2},"attestation_state":"computed","paper":{"title":"Bandwidth selection for kernel density estimators of multivariate level sets and highest density regions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Charles R. Doss, Guangwei Weng","submitted_at":"2018-06-03T02:50:59Z","abstract_excerpt":"We consider bandwidth matrix selection for kernel density estimators (KDEs) of density level sets in $\\mathbb{R}^d$, $d \\ge 2$. We also consider estimation of highest density regions, which differs from estimating level sets in that one specifies the probability content of the set rather than specifying the level directly. This complicates the problem. Bandwidth selection for KDEs is well studied, but the goal of most methods is to minimize a global loss function for the density or its derivatives. The loss we consider here is instead the measure of the symmetric difference of the true set and"},"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":"1806.00731","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2018-06-03T02:50:59Z","cross_cats_sorted":[],"title_canon_sha256":"0c94f3fff8be400642f990bc0d51321e7345d2f0a21808973db61d8cb921c6e7","abstract_canon_sha256":"31f233561f5b1bf4737478f5fe78085acf07650ebfdfab83d560e8c8dbd992e9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:02:22.296434Z","signature_b64":"ghF3uZk7WRqBtIz67OqFQ6Fz0yGLvScwveeaP3ZmqO+t+SNK7KYFKXnOhwadJH/8jLcHSYPKooD3GpN/iiwMAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"019cb9dccf74a7f1fb1386a45a2dcf8c549c6af90c78cf611f949b81faf58579","last_reissued_at":"2026-05-18T00:02:22.295822Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:02:22.295822Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Bandwidth selection for kernel density estimators of multivariate level sets and highest density regions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Charles R. Doss, Guangwei Weng","submitted_at":"2018-06-03T02:50:59Z","abstract_excerpt":"We consider bandwidth matrix selection for kernel density estimators (KDEs) of density level sets in $\\mathbb{R}^d$, $d \\ge 2$. We also consider estimation of highest density regions, which differs from estimating level sets in that one specifies the probability content of the set rather than specifying the level directly. This complicates the problem. Bandwidth selection for KDEs is well studied, but the goal of most methods is to minimize a global loss function for the density or its derivatives. The loss we consider here is instead the measure of the symmetric difference of the true set and"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.00731","kind":"arxiv","version":2},"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":"1806.00731","created_at":"2026-05-18T00:02:22.295904+00:00"},{"alias_kind":"arxiv_version","alias_value":"1806.00731v2","created_at":"2026-05-18T00:02:22.295904+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.00731","created_at":"2026-05-18T00:02:22.295904+00:00"},{"alias_kind":"pith_short_12","alias_value":"AGOLTXGPOST7","created_at":"2026-05-18T12:32:13.499390+00:00"},{"alias_kind":"pith_short_16","alias_value":"AGOLTXGPOST7D6YT","created_at":"2026-05-18T12:32:13.499390+00:00"},{"alias_kind":"pith_short_8","alias_value":"AGOLTXGP","created_at":"2026-05-18T12:32:13.499390+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/AGOLTXGPOST7D6YTQ2SFULOPRR","json":"https://pith.science/pith/AGOLTXGPOST7D6YTQ2SFULOPRR.json","graph_json":"https://pith.science/api/pith-number/AGOLTXGPOST7D6YTQ2SFULOPRR/graph.json","events_json":"https://pith.science/api/pith-number/AGOLTXGPOST7D6YTQ2SFULOPRR/events.json","paper":"https://pith.science/paper/AGOLTXGP"},"agent_actions":{"view_html":"https://pith.science/pith/AGOLTXGPOST7D6YTQ2SFULOPRR","download_json":"https://pith.science/pith/AGOLTXGPOST7D6YTQ2SFULOPRR.json","view_paper":"https://pith.science/paper/AGOLTXGP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1806.00731&json=true","fetch_graph":"https://pith.science/api/pith-number/AGOLTXGPOST7D6YTQ2SFULOPRR/graph.json","fetch_events":"https://pith.science/api/pith-number/AGOLTXGPOST7D6YTQ2SFULOPRR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AGOLTXGPOST7D6YTQ2SFULOPRR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AGOLTXGPOST7D6YTQ2SFULOPRR/action/storage_attestation","attest_author":"https://pith.science/pith/AGOLTXGPOST7D6YTQ2SFULOPRR/action/author_attestation","sign_citation":"https://pith.science/pith/AGOLTXGPOST7D6YTQ2SFULOPRR/action/citation_signature","submit_replication":"https://pith.science/pith/AGOLTXGPOST7D6YTQ2SFULOPRR/action/replication_record"}},"created_at":"2026-05-18T00:02:22.295904+00:00","updated_at":"2026-05-18T00:02:22.295904+00:00"}