{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:ESDPCGFQOPX43KIE3VTTPARU2K","short_pith_number":"pith:ESDPCGFQ","schema_version":"1.0","canonical_sha256":"2486f118b073efcda904dd67378234d2aa63017600beb7fbf20f3e221bca48af","source":{"kind":"arxiv","id":"1306.4847","version":1},"attestation_state":"computed","paper":{"title":"Oracle inequalities for the lasso in the Cox model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Cun-Hui Zhang, Jian Huang, Tingni Sun, Yi Yu, Zhiliang Ying","submitted_at":"2013-06-20T12:21:50Z","abstract_excerpt":"We study the absolute penalized maximum partial likelihood estimator in sparse, high-dimensional Cox proportional hazards regression models where the number of time-dependent covariates can be larger than the sample size. We establish oracle inequalities based on natural extensions of the compatibility and cone invertibility factors of the Hessian matrix at the true regression coefficients. Similar results based on an extension of the restricted eigenvalue can be also proved by our method. However, the presented oracle inequalities are sharper since the compatibility and cone invertibility fac"},"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":"1306.4847","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2013-06-20T12:21:50Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"34b98178a28e7d8c236fe60c3e9f1b33033974a4c351485c7bfd7e95f526199a","abstract_canon_sha256":"831d4181b9d82a4ad3326ead1fe1e6d5ff0a2196fb78d340e4095fb350115bdb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:20:21.474247Z","signature_b64":"i/chLk7e2TZeoEgx/FA/AK/L1xkD0HFvMqpkG5yhZfH04qxNfZ+ZWdi8SbRUTXv5P1zQF0Es9VYh0yvtHOItBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2486f118b073efcda904dd67378234d2aa63017600beb7fbf20f3e221bca48af","last_reissued_at":"2026-05-18T03:20:21.473469Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:20:21.473469Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Oracle inequalities for the lasso in the Cox model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Cun-Hui Zhang, Jian Huang, Tingni Sun, Yi Yu, Zhiliang Ying","submitted_at":"2013-06-20T12:21:50Z","abstract_excerpt":"We study the absolute penalized maximum partial likelihood estimator in sparse, high-dimensional Cox proportional hazards regression models where the number of time-dependent covariates can be larger than the sample size. We establish oracle inequalities based on natural extensions of the compatibility and cone invertibility factors of the Hessian matrix at the true regression coefficients. Similar results based on an extension of the restricted eigenvalue can be also proved by our method. However, the presented oracle inequalities are sharper since the compatibility and cone invertibility fac"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.4847","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":"1306.4847","created_at":"2026-05-18T03:20:21.473593+00:00"},{"alias_kind":"arxiv_version","alias_value":"1306.4847v1","created_at":"2026-05-18T03:20:21.473593+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.4847","created_at":"2026-05-18T03:20:21.473593+00:00"},{"alias_kind":"pith_short_12","alias_value":"ESDPCGFQOPX4","created_at":"2026-05-18T12:27:43.054852+00:00"},{"alias_kind":"pith_short_16","alias_value":"ESDPCGFQOPX43KIE","created_at":"2026-05-18T12:27:43.054852+00:00"},{"alias_kind":"pith_short_8","alias_value":"ESDPCGFQ","created_at":"2026-05-18T12:27:43.054852+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/ESDPCGFQOPX43KIE3VTTPARU2K","json":"https://pith.science/pith/ESDPCGFQOPX43KIE3VTTPARU2K.json","graph_json":"https://pith.science/api/pith-number/ESDPCGFQOPX43KIE3VTTPARU2K/graph.json","events_json":"https://pith.science/api/pith-number/ESDPCGFQOPX43KIE3VTTPARU2K/events.json","paper":"https://pith.science/paper/ESDPCGFQ"},"agent_actions":{"view_html":"https://pith.science/pith/ESDPCGFQOPX43KIE3VTTPARU2K","download_json":"https://pith.science/pith/ESDPCGFQOPX43KIE3VTTPARU2K.json","view_paper":"https://pith.science/paper/ESDPCGFQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1306.4847&json=true","fetch_graph":"https://pith.science/api/pith-number/ESDPCGFQOPX43KIE3VTTPARU2K/graph.json","fetch_events":"https://pith.science/api/pith-number/ESDPCGFQOPX43KIE3VTTPARU2K/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ESDPCGFQOPX43KIE3VTTPARU2K/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ESDPCGFQOPX43KIE3VTTPARU2K/action/storage_attestation","attest_author":"https://pith.science/pith/ESDPCGFQOPX43KIE3VTTPARU2K/action/author_attestation","sign_citation":"https://pith.science/pith/ESDPCGFQOPX43KIE3VTTPARU2K/action/citation_signature","submit_replication":"https://pith.science/pith/ESDPCGFQOPX43KIE3VTTPARU2K/action/replication_record"}},"created_at":"2026-05-18T03:20:21.473593+00:00","updated_at":"2026-05-18T03:20:21.473593+00:00"}